Quantum field theory and critical phenomena

Quantum field theory and critical phenomena / Jean Zinn-Justin.

"Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamic (QED) has been the first example of a quantum field theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly,...

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Bibliographic Details
Main Author: Zinn-Justin, Jean (Author)
Format: eBook
Language:English
Published: Oxford : Oxford University Press, 2021.
Edition:Fifth edition.
Series:International series of monographs on physics (Oxford, England) ; 171.
Subjects:
Quantum field theory.
Critical phenomena (Physics)
Renormalization (Physics)
Quantum field theory
Online Access:Click for online access
Table of Contents:
  • Gaussian integrals. Algebraic preliminaries
  • Euclidean path integrals and quantum mechanics
  • Quantum mechanics: Path integrals in phase space
  • Quantum statistical physics: Functional integration formalism
  • Quantum evolution: From particles to fields
  • The neutral relativistic scalar field
  • Perturbative quantum field theory: Algebraic methods
  • Ultraviolet divergences: Effective quantum field theory
  • Introduction to renormalization theory and renormalization group
  • Dimensional continuation, regularization. Minimal subtraction, RG functions
  • Renormalization of local polynomials. Short distance expansion
  • Relativistic fermions: Introduction
  • Symmetries, chiral symmetry breaking and renormalization
  • Critical phenomena: General considerations. Mean-field theory
  • The renormalization group approach: The critical theory near dimension 4
  • Critical domain: Universality, E-expansion
  • Critical phenomena: Corrections to scaling behaviour
  • O(N)-symmetric vector models for N large
  • The non-linear sigma-model near two dimensions: Phase structure
  • Gross-Neveu-Yukawa and Gross-Neveu models
  • Abelian gauge theories: The framework of quantum electrodynamics
  • Non-Abelian gauge theories: Introduction
  • The Standard Model of fundamental interactions
  • Large momentum behaviour in quantum field theory
  • Lattice gauge theories: Introduction
  • BRST symmetry, gauge theories: Zinn-Justin equation and renormalization
  • Supersymmetric quantum field theory: Introduction
  • Elements of classical and quantum gravity
  • Generalized non-linear sigma-models in two dimensions
  • A few two-dimensional solvable quantum field theories
  • O(2) spin model and Kosterlitz-Thouless's phase transition
  • Finite-size effects in field theory. Scaling behaviour
  • Quantum field theory at finite temperature: Equilibrium properties
  • Stochastic differential equations: Langevin, Fokker-Planck equations
  • Langevin field equations, properties and renormalization
  • Critical dynamics and renormalization group
  • Instantons in quantum mechanics
  • Metastable vacua in quantum field theory
  • Degenerate classical minima and instantons
  • Perturbative expansion at large orders
  • Critical exponents and equation of state from series summation
  • Multi-instantons in quantum mechanics.

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