《相變與重正化群（英文影印版）》是2014年出版的圖書，作者是(法)齊恩-朱斯坦。
基本介紹
- 書名：相變與重正化群（英文影印版）
- 作者：(法)齊恩-朱斯坦
- 出版時間：2014年12月30日
- 頁數：472 頁
- 定價：80 元
- 開本：16 開
- 裝幀：平裝
- ISBN：978-7-301-25185-0
- 字數：562 千字
- 叢書名：中外物理學精品書系
出版背景,章節目錄,
出版背景
本書詳細討論了相變與重正化群的關係。特別是相變中的連續極限、相干長度及標度律等等。本書適合所有物理學領域的科研工作者和研究生閱讀。
章節目錄
1 Quantum field theory and the renormalization group
1.1 Quantum electrodynamics: A quantum field theory
1.2 Quantum electrodynamics: The problem of infinities
1.3 Renormalization
1.4 Quantum field theory and the renormalization group
1.5 A triumph of QFT: The Standard Model
1.6 Critical phenomena: Other infinities
1.7 Kadanoff and Wilson’s renormalizationgroup
1.8 Effective quantum field theories
2 Gaussian expectation values. Steepest descent method
2.1 Generating functions
2.2 Gaussian expectation values.Wick’s theorem
2.3 Perturbed Gaussian measure. Connected contributions
2.4 Feynman diagrams. Connected contributions
2.5 Expectation values. Generating function. Cumulants
2.6 Steepest descent method
2.7 Steepest descent method: Several variables, generating functions Exercises
3 Universality and the continuum limit
3.1 Central limit theorem of probabilities
3.2 Universality and fixed points of transformations
3.3 Random walk and Brownian motion
3.4 Random walk: Additional remarks
3.5 Brownian motion and path integrals
Exercises
4 Classical statistical physics: One dimension
4.1 Nearest-neighbour interactions. Transfer matrix
4.2 Correlation functions
4.3 Thermodynamic limit
4.4 Connected functions and cluster properties
4.5 Statistical models: Simple examples
4.6 The Gaussian model
4.7 Gaussian model: The continuumlimit
4.8 More general models: The continuumlimit
Exercises
5 Continuum limit and path integrals
5.1 Gaussian path integrals
5.2 Gaussian correlations.Wick’s theorem
5.3 Perturbed Gaussian measure
5.4 Perturbative calculations: Examples
Exercises
6 Ferromagnetic systems. Correlation functions
6.1 Ferromagnetic systems: Definition
6.2 Correlation functions. Fourier representation
6.3 Legendre transformation and vertex functions
6.4 Legendre transformation and steepest descent method
6.5 Two- and four-point vertex functions
Exercises
7 Phase transitions: Generalities and examples
7.1 Infinite temperature or independent spins
7.2 Phase transitions in infinite dimension
7.3 Universality in infinite space dimension
7.4 Transformations, fixed points and universality
7.5 Finite-range interactions in finite dimension
7.6 Ising model: Transfer matrix
7.7 Continuous symmetries and transfer matrix
7.8 Continuous symmetries and Goldstone modes
