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正版新书]共形场论(第1卷)(英文版)/经典名著系列(法)菲利普·迪·
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Preface
Part A INTRODUCTION
1 Introduction
2 Quantum Field Theory
2.1 Quantum Fields
2.1.1 The Free Boson
2.1.2 The Free Fermion
2.2 Path Integrals
2.2.1 System with One Degree of Freedom
2.2.2 Path Integration for Quantum Fields
2.3 Correlation Functions
2.3.1 System with One Degree of Freedom
2.3.2 The Euclidian Formalism
2.3.3 The Generating Functional
2.3.4 Example: The Free Boson
2.3.5 Wick's Theorem
2.4 Symmetries and Conservation Laws
2.4.1 Continuous Symmetry Transformations
2.4.2 Infinitesimal Transformations and Noether's Theorem
2.4.3 Transformation of the Correlation Functions
2.4.4 Ward Identities
2.5 The Energy-Momentum Tensor
2.5.1 The Belinfante Tensor
2.5.2 Alternate Definition of the Energy-Momentum Tensor
2.A Gaussian Integrals
2.B Grassmann Variables
2.C Tetrads
Exercises
3 Statistical Mechanics
3.1 The Boltzmann Distribution
3.1.1 Classical Statistical Models
3.1.2 Quantum Statistics
3.2 Critical Phenomena
3.2.1 Generalities
3.2.2 Scaling
3.2.3 Broken Symmetry
3.3 The Renormalization Group: Lattice Models
3.3.1 Generalities
3.3.2 The Ising Model on a Triangular Lattice
3.4 The Renormalization Group: Continuum Models
3.4.1 Introduction
3.4.2 Dimensional Analysis
3.4.3 Beyond Dimensional Analysis: The o4 Theory
3.5 The Transfer Matrix
Exercises
Part B FUNDAMENTALS
4 Global Conformal Invariance
4.1 The Conformal Group
4.2 Conformal Invariance in Classical Field Theory
4.2.1 Representations of the Conformal Group in d Dimensions
P. D. Francesco,法国著名物理学家.
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