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  1. Feynman amplitudes, periods, and motives
    International Research Workshop Periods and Motives - a Modern Perspective on Renormalization, July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain
    Contributor: Álvarez-Cónsul, Luis (HerausgeberIn); Burgos-Gil, José Ignacio (HerausgeberIn); Ebrahimi-Fard, Kurusch (HerausgeberIn)
    Published: [2015]; © 2015
    Publisher:  American Mathematical Society, Providence, Rhode Island

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    Niedersächsische Staats- und Universitätsbibliothek Göttingen
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    2015 B 1485
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    Technische Informationsbibliothek (TIB) / Leibniz-Informationszentrum Technik und Naturwissenschaften und Universitätsbibliothek
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    RA 6038(648)
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    Universitätsbibliothek Osnabrück
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    TBR / Con 648
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    Source: Union catalogues
    Contributor: Álvarez-Cónsul, Luis (HerausgeberIn); Burgos-Gil, José Ignacio (HerausgeberIn); Ebrahimi-Fard, Kurusch (HerausgeberIn)
    Language: English
    Media type: Conference proceedings
    Format: Print
    ISBN: 9781470422479
    RVK Categories: SD 2012 ; SI 805
    Corporations / Congresses: International Research Workshop Periods and Motives - A Modern Perspective on Renormalization (2012, Madrid)
    Series: Contemporary mathematics ; 648
    Subjects: Mathematical physics; Perturbation (Quantum dynamics); Perturbation (Mathematics); Quantum field theory
    Scope: VIII, 289 Seiten
    Notes:

    Includes bibliographical references
  2. Noncommutative geometry, quantum fields and motives
    Author: Connes, Alain; Marcolli, Matilde
    Published: 2008
    Publisher:  American Mathematical Society, [Providence, RI] ; Hindustan book agency, New Delhi

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    Universität Potsdam, Universitätsbibliothek
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    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Print
    ISBN: 9780821842102; 9781470450458
    Other identifier:
    9780821842102
    9781470450458
    RVK Categories: SK 370 ; SK 180
    Series: Colloquium publications / American Mathematical Society ; 55
    Subjects: Noncommutative differential geometry; Quantum field theory
    Scope: XXII, 785 S., graph. Darst.
    Notes:

    Includes bibliographical references and index
  3. Feynman motives
    Author: Marcolli, Matilde
    Published: c2010
    Publisher:  World Scientific, Hackensack, N.J.

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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9789814271219
    RVK Categories: SK 950
    Subjects: Feynman integrals; Motives (Mathematics); Quantum field theory; Quantenfeldtheorie; Algebraische Varietät; Motiv <Mathematik>; Pfadintegral
    Scope: xiii, 220 p.
    Notes:

    Includes bibliographical references and index
  4. Noncommutative geometry, quantum fields and motives
    Author: Connes, Alain; Marcolli, Matilde
    Published: [2008]; © 2008
    Publisher:  American Mathematical Society, Providence, Rhode Island

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    Universitätsbibliothek der LMU München
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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9781470432010
    Other identifier:
    RVK Categories: SK 370
    Series: American Mathematical Society Colloquium Publications ; volume 55
    Subjects: Análise global; Corpos globais; Geometria algébrica; Mecânica quântica; Teoria analítica dos números; Teoria dos números; Álgebra; Noncommutative differential geometry; Quantum field theory; Motiv <Mathematik>; Nichtkommutative Differentialgeometrie; Quantenfeldtheorie
    Scope: 1 Online-Ressource (xxii, 785 Seiten), Illustrationen, Diagramme
  5. Feynman motives
    Author: Marcolli, Matilde
    Published: c2010
    Publisher:  World Scientific Pub. Co., Singapore

    Location:
    Ostbayerische Technische Hochschule Amberg-Weiden / Hochschulbibliothek Amberg
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    Ostbayerische Technische Hochschule Amberg-Weiden, Hochschulbibliothek, Standort Weiden
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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9789814271202; 9789814271219; 9814271209; 9814271217
    RVK Categories: SK 950
    Subjects: MATHEMATICS / Geometry / Algebraic; Algebraische Varietät; Motiv (Mathematik); Pfadintegral; Quantenfeldtheorie; Feynman integrals; Motives (Mathematics); Quantum field theory; Motives (Mathematics); Feynman integrals; Quantum field theory; Quantenfeldtheorie; Algebraische Varietät; Motiv <Mathematik>; Pfadintegral
    Scope: 1 Online-Ressource (xiii, 220 p.)
    Notes:

    Includes bibliographical references (p. 207-213) and index

    1. Perturbative quantum field theory and Feynman diagrams. 1.1. A calculus exercise in Feynman integrals. 1.2. From Lagrangian to effective action. 1.3. Feynman rules. 1.4. Simplifying graphs : vacuum bubbles, connected graphs. 1.5. One-particle-irreducible graphs. 1.6. The problem of renormalization. 1.7. Gamma functions, Schwinger and Feynman parameters. 1.8. Dimensional regularization and minimal subtraction -- 2. Motives and periods. 2.1. The idea of motives. 2.2. Pure motives. 2.3. Mixed motives and triangulated categories. 2.4. Motivic sheaves. 2.5. The Grothendieck ring of motives. 2.6. Tate motives. 2.7. The algebra of periods. 2.8. Mixed Tate motives and the logarithmic extensions. 2.9. Categories and Galois groups. 2.10. Motivic Galois groups --

    - 3. Feynman integrals and algebraic varieties. 3.1. The parametric Feynman integrals. 3.2. The graph hypersurfaces. 3.3. Landau varieties. 3.4. Integrals in affine and projective spaces. 3.5. Non-isolated singularities. 3.6. Cremona transformation and dual graphs. 3.7. Classes in the Grothendieck ring. 3.8. Motivic Feynman rules. 3.9. Characteristic classes and Feynman rules. 3.10. Deletion-contraction relation. 3.11. Feynman integrals and periods. 3.12. The mixed Tate mystery. 3.13. From graph hypersurfaces to determinant hypersurfaces. 3.14. Handling divergences. 3.15. Motivic zeta functions and motivic Feynman rules -- 4. Feynman integrals and Gelfand-Leray forms. 4.1. Oscillatory integrals. 4.2. Leray regularization of Feynman integrals --

    - 5. Connes-Kreimer theory in a nutshell. 5.1. The Bogolyubov recursion. 5.2. Hopf algebras and affine group schemes. 5.3. The Connes-Kreimer Hopf algebra. 5.4. Birkhoff factorization. 5.5. Factorization and Rota-Baxter algebras. 5.6. Motivic Feynman rules and Rota-Baxter structure -- 6. The Riemann-Hilbert correspondence. 6.1. From divergences to iterated integrals. 6.2. From iterated integrals to differential systems. 6.3. Flat equisingular connections and vector bundles. 6.4. The "cosmic Galois group" -- 7. The geometry of DimReg. 7.1. The motivic geometry of DimReg. 7.2. The noncommutative geometry of DimReg -- 8. Renormalization, singularities, and Hodge structures. 8.1. Projective radon transform. 8.2. The polar filtration and the Milnor fiber. 8.3. DimReg and mixed Hodge structures. 8.4. Regular and irregular singular connections --

    - 9. Beyond scalar theories. 9.1. Supermanifolds. 9.2. Parametric Feynman integrals and supermanifolds. 9.3. Graph supermanifolds. 9.4. Noncommutative field theories

    This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative quantum field theory and the theory of motives of algebraic varieties and their periods. One of the main questions in the field is understanding when the residues of Feynman integrals in perturbative quantum field theory evaluate to periods of mixed Tate motives. The question originates from the occurrence of multiple zeta values in Feynman integrals calculations observed by Broadhurst and Kreimer. Two different approaches to the subject are described. The first, a "bottom-up" approach, constructs explicit algebraic varieties and periods from Feynman graphs and parametric Feynman integrals.

    This approach, which grew out of work of Bloch-Esnault-Kreimer and was more recently developed in joint work of Paolo Aluffi and the author, leads to algebro-geometric and motivic versions of the Feynman rules of quantum field theory and concentrates on explicit constructions of motives and classes in the Grothendieck ring of varieties associated to Feynman integrals. While the varieties obtained in this way can be arbitrarily complicated as motives, the part of the cohomology that is involved in the Feynman integral computation might still be of the special mixed Tate kind. A second, "top-down" approach to the problem, developed in the work of Alain Connes and the author, consists of comparing a Tannakian category constructed out of the data of renormalization of perturbative scalar field theories, obtained in the form of a Riemann-Hilbert correspondence, with Tannakian categories of mixed Tate motives.

    The book draws connections between these two approaches and gives an overview of other ongoing directions of research in the field, outlining the many connections of perturbative quantum field theory and renormalization to motives, singularity theory, Hodge structures, arithmetic geometry, supermanifolds, algebraic and non-commutative geometry. The text is aimed at researchers in mathematical physics, high energy physics, number theory and algebraic geometry. Partly based on lecture notes for a graduate course given by the author at Caltech in the fall of 2008, it can also be used by graduate students interested in working in this area
  6. Feynman motives
    Author: Marcolli, Matilde
    Published: c2010
    Publisher:  World Scientific Pub. Co., Singapore

    The book draws connections between these two approaches and gives an overview of other ongoing directions of research in the field, outlining the many connections of perturbative quantum field theory and renormalization to motives, singularity... more

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    Technische Hochschule Nürnberg Georg Simon Ohm, Bibliothek
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    The book draws connections between these two approaches and gives an overview of other ongoing directions of research in the field, outlining the many connections of perturbative quantum field theory and renormalization to motives, singularity theory, Hodge structures, arithmetic geometry, supermanifolds, algebraic and non-commutative geometry. The text is aimed at researchers in mathematical physics, high energy physics, number theory and algebraic geometry. Partly based on lecture notes for a graduate course given by the author at Caltech in the fall of 2008, it can also be used by graduate students interested in working in this area

     
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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9789814271219
    Other identifier:
    RVK Categories: SK 950
    Subjects: Motives (Mathematics); Feynman integrals; Quantum field theory; Algebraische Varietät; Pfadintegral; Quantenfeldtheorie; Motiv <Mathematik>
    Scope: xiii, 220 p., ill
  7. Feynman motives
    Author: Marcolli, Matilde
    Published: c2010
    Publisher:  World Scientific, Hackensack, N.J.

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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9789814271219
    RVK Categories: SK 950
    Subjects: Feynman integrals; Motives (Mathematics); Quantum field theory; Quantenfeldtheorie; Algebraische Varietät; Motiv <Mathematik>; Pfadintegral
    Scope: xiii, 220 p.
    Notes:

    Includes bibliographical references and index
  8. Aesthetics of Universal Knowledge
    Contributor: Schaffer, Simon (Publisher); Tresch, John (Publisher); Gagliardi, Pasquale (Publisher)
    Published: [2017]; © 2017
    Publisher:  Palgrave Macmillan, Cham

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    Universitätsbibliothek Bayreuth
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  9. Feynman motives
    Author: Marcolli, Matilde
    Published: 2010
    Publisher:  World Scientific, New Jersey [u.a.]

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    Universitätsbibliothek Erlangen-Nürnberg, Technisch-naturwissenschaftliche Zweigbibliothek
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    Source: Union catalogues
    Language: English
    Media type: Book
    ISBN: 9789814271202; 9814271209; 9789814304481; 9814304484
    RVK Categories: SK 950
    Subjects: Feynman integrals; Motives (Mathematics); Quantum field theory; Pfadintegral; Algebraische Varietät; Quantenfeldtheorie; Motiv <Mathematik>
    Scope: XIII, 220 S., graph. Darst.
  10. Noncommutative geometry, quantum fields and motives
    Author: Connes, Alain; Marcolli, Matilde
    Published: 2008; © 2008
    Publisher:  American Mathematical Society, Providence, Rhode Island

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    Universitätsbibliothek Augsburg
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    Source: Union catalogues
    Language: English
    Media type: Book
    ISBN: 9780821842102
    RVK Categories: SK 370
    Series: American Mathematical Society Colloquium publications ; volume 55
    Subjects: Análise global; Corpos globais; Geometria algébrica; Mecânica quântica; Teoria analítica dos números; Teoria dos números; Álgebra; Noncommutative differential geometry; Quantum field theory; Nichtkommutative Differentialgeometrie; Motiv <Mathematik>; Quantenfeldtheorie
    Scope: XXII, 785 Seiten, Illustrationen, Diagramme
    Notes:

    Literaturverzeichnis: Seiten 749 - 761
  11. Feynman amplitudes, periods, and motives
    International Research Workshop Periods and Motives - a Modern Perspective on Renormalization, July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain
    Contributor: Álvarez-Cónsul, Luis (HerausgeberIn); Burgos Gil, José I. (HerausgeberIn); Ebrahimi-Fard, Kurusch (HerausgeberIn)
    Published: [2015]; © 2015
    Publisher:  American Mathematical Society, Providence, Rhode Island

    Location:
    Niedersächsische Staats- und Universitätsbibliothek Göttingen
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    2015 B 1485
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    Technische Informationsbibliothek (TIB) / Leibniz-Informationszentrum Technik und Naturwissenschaften und Universitätsbibliothek
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    RA 6038(648)
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    Universität Heidelberg, Bereichsbibliothek Mathematik und Informatik
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    Kongr. 2012/56
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    Universitätsbibliothek Mannheim
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    400 SI 805-648
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    Mathematisches Forschungsinstitut Oberwolfach gGmbH, Bibliothek
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    Universitätsbibliothek Osnabrück
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    Source: Union catalogues
    Contributor: Álvarez-Cónsul, Luis (HerausgeberIn); Burgos Gil, José I. (HerausgeberIn); Ebrahimi-Fard, Kurusch (HerausgeberIn)
    Language: English
    Media type: Conference proceedings
    Format: Print
    ISBN: 9781470422479
    RVK Categories: SD 2012 ; SI 805
    Corporations / Congresses: International Research Workshop Periods and Motives - A Modern Perspective on Renormalization (2012, Madrid)
    Series: Contemporary mathematics ; 648
    Subjects: Mathematical physics; Perturbation (Quantum dynamics); Perturbation (Mathematics); Quantum field theory
    Scope: VIII, 289 Seiten
    Notes:

    Includes bibliographical references
  12. Topology and field theories
    Summer School and Conference Topology and Field Theories, May 29 - June 8, 2012, University of Notre Dame, Notre Dame, Indiana
    Contributor: Stolz, Stephan (Hrsg.)
    Published: 2015 erschienen
    Publisher:  American Mathematical Society, Providence, RI

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    Universität Potsdam, Universitätsbibliothek
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    Contributor: Stolz, Stephan (Hrsg.)
    Language: English
    Media type: Book
    Format: Print
    ISBN: 9781470410155
    Other identifier:
    9781470410155
    RVK Categories: SI 805 ; SD 2012 ; SK 300
    Series: Contemporary mathematics ; 613
    Subjects: Algebraic topology; Quantum field theory
    Scope: VII, 176 S., graph. Darst.
    Notes:

    At head of title: Center for Mathematics at Notre Dame

    Includes bibliographical references

    Andrâe Henriques: Three-tier CFTs from Frobenius algebras

    Sergei Gukov and Ingmar Saberi: Lectures on knot homology and quantum curves

    Gijs Heuts and Jacob Lurie: Ambidexterity

    Christopher J. Schommer-Pries.: Dualizability in low-dimensional higher category theory
  13. Noncommutative geometry, quantum fields and motives
    Author: Connes, Alain; Marcolli, Matilde
    Published: 2008; © 2008
    Publisher:  American Mathematical Society, Providence, Rhode Island

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    Freie Universität Berlin, Universitätsbibliothek
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    Source: Philologische Bibliothek, FU Berlin
    Language: English
    Media type: Book
    ISBN: 9780821842102
    RVK Categories: SK 370
    Series: American Mathematical Society Colloquium publications ; volume 55
    Subjects: Análise global; Corpos globais; Geometria algébrica; Mecânica quântica; Teoria analítica dos números; Teoria dos números; Álgebra; Noncommutative differential geometry; Quantum field theory; Nichtkommutative Differentialgeometrie; Motiv <Mathematik>; Quantenfeldtheorie
    Scope: XXII, 785 Seiten, Illustrationen, Diagramme
    Notes:

    Literaturverzeichnis: Seiten 749 - 761
  14. Feynman motives
    Author: Marcolli, Matilde
    Published: 2010
    Publisher:  World Scientific, New Jersey [u.a.]

    Location:
    Humboldt-Universität zu Berlin, Universitätsbibliothek, Jacob-und-Wilhelm-Grimm-Zentrum
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    Source: Union catalogues
    Language: English
    Media type: Book
    ISBN: 9789814271202; 9814271209; 9789814304481; 9814304484
    RVK Categories: SK 950
    Subjects: Feynman integrals; Motives (Mathematics); Quantum field theory; Pfadintegral; Algebraische Varietät; Quantenfeldtheorie; Motiv <Mathematik>
    Scope: XIII, 220 S., graph. Darst.
  15. Noncommutative geometry, quantum fields and motives
    Author: Connes, Alain; Marcolli, Matilde
    Published: [2008]; © 2008
    Publisher:  American Mathematical Society, Providence, Rhode Island

    Location:
    Humboldt-Universität zu Berlin, Universitätsbibliothek, Jacob-und-Wilhelm-Grimm-Zentrum
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    Source: Union catalogues
    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9781470432010
    Other identifier:
    RVK Categories: SK 370
    Series: American Mathematical Society Colloquium Publications ; volume 55
    Subjects: Análise global; Corpos globais; Geometria algébrica; Mecânica quântica; Teoria analítica dos números; Teoria dos números; Álgebra; Noncommutative differential geometry; Quantum field theory; Motiv <Mathematik>; Nichtkommutative Differentialgeometrie; Quantenfeldtheorie
    Scope: 1 Online-Ressource (xxii, 785 Seiten), Illustrationen, Diagramme
  16. Noncommutative geometry, quantum fields and motives
    Author: Connes, Alain; Marcolli, Matilde
    Published: 2008
    Publisher:  American Math. Soc., Providence, RI ; Hindustan Book Agency, New Delhi

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    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Print
    ISBN: 9780821842102
    RVK Categories: SK 370
    Series: Colloquium publications / American Mathematical Society ; 55
    Subjects: Noncommutative differential geometry; Quantum field theory
    Scope: XXII, 785 S., graph. Darst.
    Notes:

    Literaturverz. S. 749 - 761
  17. Analysis, geometry and quantum field theory
    International Conference in Honor of Steve Rosenberg's 60th Birthday, September 26 - 30, 2011, University of Potsdam, Potsdam, Germany
    Contributor: Aldana Domínguez, Clara Lucía (Hrsg.); Rosenberg, Steven (GefeierteR); Braverman, Maxim (Hrsg.); Iochum, Bruno (Hrsg.); Neira Jiménez, Carolina (Hrsg.)
    Published: 2012
    Publisher:  American Mathematical Society, Providence, RI

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    Universitätsbibliothek Greifswald
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    660/SI 805-584
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    Niedersächsische Staats- und Universitätsbibliothek Göttingen
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    2013 B 588
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    Technische Informationsbibliothek (TIB) / Leibniz-Informationszentrum Technik und Naturwissenschaften und Universitätsbibliothek
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    RA 6038(584)
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    Universität Heidelberg, Bereichsbibliothek Mathematik und Informatik
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    Kongr. 2011/28
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    Source: Union catalogues
    Contributor: Aldana Domínguez, Clara Lucía (Hrsg.); Rosenberg, Steven (GefeierteR); Braverman, Maxim (Hrsg.); Iochum, Bruno (Hrsg.); Neira Jiménez, Carolina (Hrsg.)
    Language: English
    Media type: Book
    Format: Print
    ISBN: 0821891448; 9780821891445
    Other identifier:
    9780821891445
    RVK Categories: SI 805
    Series: Contemporary mathematics ; 584
    Subjects: Differential equations, Parabolic; Global analysis (Mathematics); Quantum field theory
    Scope: VII, 258 S., graph. Darst., 26 cm
    Notes:

    Includes bibliographical references
  18. Topology and field theories
    Center for Mathematics at Notre Dame ; summer school and conference, Topology and field theories, May 29-June 8, 2012, University of Notre Dame, Notre Dame, Indiana
    Published: [2014]
    Publisher:  American Mathematical Society, Providence, Rhode Island

    Intro -- Preface -- Three-Tier CFTs from Frobenius Algebras -- 1. Introduction -- 2. Extended conformal field theory -- 3. Conformal nets and Frobenius algebra objects -- 4. Constructing extended conformal field theories -- Acknowledgements --... more

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    Intro -- Preface -- Three-Tier CFTs from Frobenius Algebras -- 1. Introduction -- 2. Extended conformal field theory -- 3. Conformal nets and Frobenius algebra objects -- 4. Constructing extended conformal field theories -- Acknowledgements -- References -- Lectures on Knot Homology and Quantum Curves -- Foreword -- 1. Why knot homology? -- 2. The classical -polynomial -- 3. Quantization -- 4. Categorification -- 5. Epilogue: super- -polynomial -- Acknowledgements -- References -- Ambidexterity -- 1. Introduction -- 2. Dijkgraaf-Witten theory -- 3. Local systems and twisted Dijkgraaf-Witten theory -- 4. Ambidexterity -- 5. Ambidexterity in the ( )-local category -- 6. Loop spaces, -divisible groups and character theory -- References -- Dualizability in Low-Dimensional Higher Category Theory -- Introduction -- Higher categories -- 1. Strict n-Categories -- 2. Bicategories -- 3. Higher Categories: Hypotheses of Baez and Dolan -- 3.1. The Homotopy Hypothesis -- 3.2. The stabilization hypothesis -- 3.3. Conclusions about Higher Categories -- 4. Segal Categories -- 4.1. Simplicial objects -- 4.2. The categorical nerve -- 4.3. Segal categories -- 5. Higher Categories: Segal n-categories -- 5.1. Relative Categories -- 5.2. The Segal Category Construction. -- 5.3. Segal -categories -- 6. Dualizability in 2-categories -- 7. Duality in Higher Categories -- 7.1. Symmetric monoidal -categories -- 7.2. Full-Dualizability -- 8. The Cobordism Hypothesis -- 9. Exercises -- Understanding the (1)-action -- 10. Defining categories via generators and relations -- 11. Presentations for low-dimensional bordism categories -- 12. The (1)-action via Presentations -- 13. Unoriented Bordism as a Homotopy Orbit -- 14. Exercises -- Understanding the (2)-action -- 15. The Serre automorphism -- 16. 2-full dualizability and the action of (2).

     
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    Language: English
    Media type: Ebook
    Format: Online
    ISBN: 9781470415525
    Series: Contemporary mathematics ; 613
    Subjects: Quantum field theory; Algebraic topology; Algebraic topology -- Congresses; Quantum field theory -- Congresses; Algebraic topology ; Congresses; Quantum field theory ; Congresses; Electronic books
    Scope: Online-Ressource (vii, 176 pages), illustrations (some color)
    Notes:

    Includes bibliographical references

    André Henriques: Three-Tier CFTs from Frobenius Algebras

    Sergei Gukov and Ingmar Saberi: Lectures on Knot Homology and Quantum Curves

    Gijs Heuts and Jacob Lurie: Ambidexterity

    Christopher J. Schommer-Pries: Dualizability in Low-Dimensional Higher Category Theory
  19. Renormalization and effective field theory
    Author: Costello, Kevin
    Published: 2011
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    ISBN: 9780821852880
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    RVK Categories: UO 4020 ; SK 230
    Series: Mathematical surveys and monographs ; 170
    Subjects: Renormalization (Physics); Quantum field theory
    Scope: VII, 251 S., graph. Darst., 26 cm
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    Includes bibliographical references
  20. Combinatorics and physics
    Mini-Workshop on Renormalization, December 15 - 16, 2006 ; Conference on Combinatorics and Physics, March 19 - 23, 2007, Max Planck Institut für Mathematik, Bonn, Germany
    Contributor: Ebrahimi-Fard, Kurusch (Hrsg.); Marcolli, Matilde (Hrsg.)
    Published: 2011
    Publisher:  American Mathematical Society, Providence, RI

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    Contributor: Ebrahimi-Fard, Kurusch (Hrsg.); Marcolli, Matilde (Hrsg.)
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    ISBN: 9780821853290
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    Series: Contemporary mathematics ; 539
    Subjects: Renormalization group; Quantum field theory; Numerical integration
    Other subjects: Array; Array
    Scope: IX, 465 S., graph. Darst.
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    Includes bibliographical references
  21. Mathematical foundations of quantum field theory and perturbative string theory
    Contributor: Sati, Hisham (Hrsg.); Schreiber, Urs (Hrsg.)
    Published: c 2011
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    Contributor: Sati, Hisham (Hrsg.); Schreiber, Urs (Hrsg.)
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    ISBN: 0821851950; 9780821851951
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    Series: Proceedings of symposia in pure mathematics ; 83
    Subjects: Quantum field theory; Topological fields; String models
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    Includes bibliographical references

    Julia Bergner: Models for ([infinity symbol], n)-categories and the cobordism hypothesis

    Ittay Weiss: From operads to dendroidal sets

    Alexei Davydov, Liang Kong, and Ingo Runkel: Field theories with defects and the centre functor

    Frédéric Paugam: Homotopical poisson reduction of gauge theories

    Jacques Distler, Daniel Freed, and Gregory Moore: Orientifold précis

    Anton Kapustin and Natalia Saulina: Surface operators in 3d TFT and 2d rational CFT

    Liang Kong: Conformal field theory and a new geometry

    Yan Soibelman: Collapsing conformal field theories, spaces with non-negative Ricci curvature and non-commutative geometry

    Stephan Stolz and Peter Teichner: Supersymmetric field theories and generalized cohomology

    Christpher Douglas and André Henriques.: Topological modular forms and conformal nets
  22. Topology and field theories
    Summer School and Conference Topology and Field Theories, May 29 - June 8, 2012, University of Notre Dame, Notre Dame, Indiana
    Contributor: Stolz, Stephan (Hrsg.)
    Published: 2015 erschienen
    Publisher:  American Mathematical Society, Providence, RI

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    Contributor: Stolz, Stephan (Hrsg.)
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    ISBN: 9781470410155
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    RVK Categories: SI 805 ; SD 2012 ; SK 300
    Series: Contemporary mathematics ; 613
    Subjects: Algebraic topology; Quantum field theory
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    At head of title: Center for Mathematics at Notre Dame

    Includes bibliographical references

    Andrâe Henriques: Three-tier CFTs from Frobenius algebras

    Sergei Gukov and Ingmar Saberi: Lectures on knot homology and quantum curves

    Gijs Heuts and Jacob Lurie: Ambidexterity

    Christopher J. Schommer-Pries.: Dualizability in low-dimensional higher category theory
  23. The intention experiment
    Using your thoughts to change your life and the world
    Author: McTaggart, Lynne
    Published: 2007
    Publisher:  Free Press, New York [u.a.]

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    ISBN: 0743276957; 9780743276955
    RVK Categories: EC 5410
    Subjects: Psychokinesis; Intention; Quantum field theory
    Scope: XXVII, 289 S.
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    Includes bibliographical references and index
  24. Feynman Motives.
    Author: Marcolli, Matilde
    Published: 2014; ©2009.
    Publisher:  World Scientific Publishing Co Pte Ltd, Singapore

    Key Features:Presents recent and ongoing research work in Feynman MotivesUsed as lecture notes in a graduate course of Caltech. Intro -- Contents -- Preface -- Acknowledgments -- 1. Perturbative quantum eld theory and Feynman diagrams -- 1.1 A... more

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    Key Features:Presents recent and ongoing research work in Feynman MotivesUsed as lecture notes in a graduate course of Caltech. Intro -- Contents -- Preface -- Acknowledgments -- 1. Perturbative quantum eld theory and Feynman diagrams -- 1.1 A calculus exercise in Feynman integrals -- 1.2 From Lagrangian to effective action -- 1.3 Feynman rules -- 1.4 Simplifying graphs: vacuum bubbles, connected graphs -- 1.5 One-particle-irreducible graphs -- 1.6 The problem of renormalization -- 1.7 Gamma functions, Schwinger and Feynman parameters -- 1.8 Dimensional Regularization and Minimal Subtraction -- 2. Motives and periods -- 2.1 The idea of motives -- 2.2 Pure motives -- 2.3 Mixed motives and triangulated categories -- 2.4 Motivic sheaves -- 2.5 The Grothendieck ring of motives -- 2.6 Tate motives -- 2.7 The algebra of periods -- 2.8 Mixed Tate motives and the logarithmic extensions -- 2.9 Categories and Galois groups -- 2.10 Motivic Galois groups -- 3. Feynman integrals and algebraic varieties -- 3.1 The parametric Feynman integrals -- 3.2 The graph hypersurfaces -- 3.3 Landau varieties -- 3.4 Integrals in affine and projective spaces -- 3.5 Non-isolated singularities -- 3.6 Cremona transformation and dual graphs -- 3.7 Classes in the Grothendieck ring -- 3.8 Motivic Feynman rules -- 3.9 Characteristic classes and Feynman rules -- 3.10 Deletion-contraction relation -- 3.11 Feynman integrals and periods -- 3.12 The mixed Tate mystery -- 3.13 From graph hypersurfaces to determinant hypersurfaces -- 3.14 Handling divergences -- 3.15 Motivic zeta functions and motivic Feynman rules -- 4. Feynman integrals and Gelfand{Leray forms -- 4.1 Oscillatory integrals -- 4.2 Leray regularization of Feynman integrals -- 5. Connes-Kreimer theory in a nutshell -- 5.1 The Bogolyubov recursion -- 5.1.1 Step 1: Preparation -- 5.1.2 Step 2: Counterterms -- 5.1.3 Step 3: Renormalized values -- 5.2 Hopf algebras and a ne group schemes -- 5.3 The Connes-Kreimer Hopf algebra.

     
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    Language: English
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    Format: Online
    ISBN: 9789814271219
    RVK Categories: UO 4000
    Subjects: Feynman integrals; Motives (Mathematics); Quantum field theory; Feynman integrals; Motives (Mathematics); Quantum field theory; Electronic books
    Scope: 1 online resource (234 pages)
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  25. Die Fälschung des Realismus
    Kritik des Antirealismus in Philosophie und theoretischer Physik
    Author: Hinterberger, Norbert Hermann
    Published: [2019]
    Publisher:  Springer Spektrum, Berlin, Heidelberg

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