Quantum Field Theory and Critical Phenomena

Quantum Field Theory and Critical Phenomena

Fifth Edition

Zinn-Justin, Jean

Oxford University Press

04/2021

1088

Dura

Inglês

9780198834625

15 a 20 dias

1762

Descrição não disponível.
Preface
1: Gaussian integrals. Algebraic preliminaries
2: Euclidean path integrals and quantum mechanics
3: Quantum mechanics: Path integrals in phase space
4: Quantum statistical physics: Functional integration formalism
5: Quantum evolution: From particles to fields
6: The neutral relativistic scalar field
7: Perturbative quantum field theory: Algebraic methods
8: Ultraviolet divergences: Effective quantum field theory
9: Introduction to renormalization theory and renormalization group
10: Dimensional continuation, regularization. Minimal subtraction, RG functions
11: Renormalization of local polynomials. Short distance expansion
12: Relativistic fermions: Introduction
13: Symmetries, chiral symmetry breaking and renormalization
14: Critical phenomena: General considerations. Mean-field theory
15: The renormalization group approach: The critical theory near dimension 4
16: Critical domain: Universality, "-expansion
17: Critical phenomena: Corrections to scaling behaviour
18: O(N)-symmetric vector models for N large
19: The non-linear ?-model near two dimensions: Phase structure
20: GrossDSNeveuDSYukawa and GrossDSNeveu models
21: Abelian gauge theories: The framework of quantum electrodynamics
22: Non-Abelian gauge theories: Introduction
23: The Standard Model of fundamental interactions
24: Large momentum behaviour in quantum field theory
25: Lattice gauge theories: Introduction
26: BRST symmetry, gauge theories: Zinn-Justin equation and renormalization
27: Supersymmetric quantum field theory: Introduction
28: Elements of classical and quantum gravity
29: Generalized non-linear ?-models in two dimensions
30: A few two-dimensional solvable quantum field theories
31: O(2) spin model and KosterlitzDSThouless>'s phase transition
32: Finite-size effects in field theory. Scaling behaviour
33: Quantum field theory at finite temperature: Equilibrium properties
34: Stochastic differential equations: Langevin, FokkerDSPlanck equations
35: Langevin field equations, properties and renormalization
36: Critical dynamics and renormalization group
37: Instantons in quantum mechanics
38: Metastable vacua in quantum field theory
39: Degenerate classical minima and instantons
40: Perturbative expansion at large orders
41: Critical exponents and equation of state from series summation
42: Multi-instantons in quantum mechanics
Bibliography
Index