Combinatorial Physics: Combinatorics, Quantum Field Theory, and Quantum Gravity Models

Author:   Adrian Tanasa (Full Professor, Full Professor, University of Bordeaux, France)
Publisher:   Oxford University Press
Edition:   1
ISBN:  

9780192895493


Pages:   416
Publication Date:   16 April 2021
Format:   Hardback
Availability:   To order   Availability explained
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Combinatorial Physics: Combinatorics, Quantum Field Theory, and Quantum Gravity Models


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Author:   Adrian Tanasa (Full Professor, Full Professor, University of Bordeaux, France)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Edition:   1
Dimensions:   Width: 18.00cm , Height: 2.50cm , Length: 25.50cm
Weight:   0.932kg
ISBN:  

9780192895493


ISBN 10:   0192895494
Pages:   416
Publication Date:   16 April 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

1: Introduction 2: Graphs, maps and polynomials 3: Quantum field theory (QFT) 4: Tree weights and renormalization in QFT 5: Combinatorial QFT and the Jacobian Conjecture 6: Fermionic QFT, Grassmann calculus and combinatorics 7: Analytic combinatorics and QFT 8: Algebraic combinatorics and QFT 9: QFT on the non-commutative Moyal space and combinatorics 10: Quantum gravity, Group Field Theory and combinatorics 11: From random matrices to random tensors 12: Random tensor models - the U(N)D-invariant model 13: Random tensor models - the multi-orientable (MO) model 14: Random tensor models - the O(N)3 invariant model 15: The Sachdev-Ye-Kitaev holographic model 16: SYK-like tensor models Appendix A: Examples of tree weights B: Renormalization of the Grosse-Wulkenhaar model, one-loop examples C: The B+ operator in Moyal QFT, two-loop examples D: Explicit examples of GFT tensor Feynman integral computations E: Coherent states of SU(2) F: Proof of the double scaling limit of the U(N)D??invariant tensor model G: Proof of Theorem 15.3.2 H: Proof of Theorem 16.1.1 J: Summary of results on the diagrammatics of the coloured SYK model and of the Gurau-Witten model Bibliography

Reviews

This book appears at a time where there is a crucial need for such a cross-fertilisation of combinatorics and theoretical physics. * Thomas Krajewski, Aix-Marseille University * An outstanding book on a recent and very timely topic. * Vincent Rivasseau, University Paris-Sud XI, Orsay *


Author Information

Between 2010 and 2015, Adrian Tanasa was an Associate Professor at Paris North University. In September 2015, he became a Full Professor at Bordeaux University. He is the founder of the journal Annals of the Institut Henri Poincare D, Combinatorics, Physics and their Interactions .

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