相變與重正化群（英文影印版）

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。

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