Combinatorial Physics
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Combinatorial Physics
Combinatorics, Quantum Field Theory, and Quantum Gravity Models
Tanasa, Adrian
Oxford University Press
04/2021
410
Dura
Inglês
9780192895493
15 a 20 dias
932
Descrição não disponível.
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
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
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
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
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
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
