- 共形场论(第1卷)(英文版)/经典名著系列
- - 作者：(法)菲利普·迪·弗朗切斯科|责编:刘慧//高蓉
  - 出版社：世界图书出版公司
  - ISBN：9787506292610
  - 出版日期：2009/01/01
  - 页数：486
- 售价：43.6

内容大纲
本书分为三部分共18章，系统介绍共形场论，共形场论（CFT）是理论物理中最活跃且成果丰硕的研究领域之一。
作者介绍
目录
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

      4.2.2  The Energy-Momentum Tensor
    4.3  Conformal Invariance in Quantum Field Theory
      4.3.1  Correlation Functions
      4.3.2  Ward Identities
      4.3.3  Tracelessness of Tuv in Two Dimensions
    Exercises
  5  Conformal Invariance in Two Dimensions
    5.1  The Conformal Group in Two Dimensions
      5.1.1  Conformal Mappings
      5.1.2  Global Conformal Transformations
      5.1.3  Conformal Generators
      5.1.4  Primary Fields
      5.1.5  Correlation Functions
  ……
  6  The Operator Formalism
  7  Minimal Models Ⅰ
  8  Minimal Models Ⅱ
  9  The Coulomb-Gas Formalism
  10  Modular Invariance
  11  Finite-Size Scaling and Boundaries
  12  The Two-Dimensional Ising Model
Part C  CONFORMAL FIELD THEORIES WITH LIE-GROUP SYMMETRY
  13  Simple Lie Algebras
  14  Affine Lie Algebras
  15  WZW Models
  16  Fusion Rules in WZW Models
  17  Modular Invariants in WZW Models
  18  Cosets
References
Index

内容大纲

作者介绍

目录

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