Combinatorial Physics: Combinatorics, Quantum Field Theory, and Quantum Gravity Models
Autor Adrian Tanasaen Limba Engleză Hardback – 16 apr 2021
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Specificații
ISBN-13: 9780192895493
ISBN-10: 0192895494
Pagini: 410
Ilustrații: Graphs and line drawings
Dimensiuni: 180 x 255 x 25 mm
Greutate: 0.93 kg
Ediția:1
Editura: OUP OXFORD
Colecția OUP Oxford
Locul publicării:Oxford, United Kingdom
ISBN-10: 0192895494
Pagini: 410
Ilustrații: Graphs and line drawings
Dimensiuni: 180 x 255 x 25 mm
Greutate: 0.93 kg
Ediția:1
Editura: OUP OXFORD
Colecția OUP Oxford
Locul publicării:Oxford, United Kingdom
Recenzii
A useful compendium of relevant subjects and it give the information about useful references in the field.
An outstanding book on a recent and very timely topic.
This book appears at a time where there is a crucial need for such a cross-fertilisation of combinatorics and theoretical physics.
An outstanding book on a recent and very timely topic.
This book appears at a time where there is a crucial need for such a cross-fertilisation of combinatorics and theoretical physics.
Notă biografică
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 Poincaré D, Combinatorics, Physics and their Interactions".
Cuprins
- 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