这是一本介绍量子场论在凝聚态物理学中应用的好书。书中在介绍了量子场论的基本工具和概念后，着重叙述了量子场论在凝聚态物理学中应用。本书阐述简明、清晰，配有许多生动幽默的插图。内容分4部分，共25章。第一部分介绍了量子场论中的一些重要方法，如：路径积分、费曼图技术和重正化等。第2部分介绍了传统方法在金属电动力学、量子电动力学和A－B效应中的应用。第3部分和第4部分是非微扰技术的应用，主要处理涨落自旋系统，共形对称性，kondo链以及其它相关问题。

读者对象：物理专业的师生、研究生、科研人员以及对量子场论有兴趣的人员。

Preface

General bibliogrphy

Acknowledgements

Introduction to methods

1 QFT:language and goals

2 Path integrals

3 Dfintions of correltion functions

4 Free bosonic field in an extenal field

5 Perturbation theory:Feynman diagrams

6 Calculation methods for diagram series

7 Renormalization Group procedures

8 O(N)-symmetric vector modelbelow the transiton point

9 Nonlinear sigma models in two dimentons

10 O(3)-nonlinear sigam nodel in the strong coupling limit

Fermions

11 Path integrals and Wick's theorem for fermions

12 Electrodynamics in metals

13 Relativistic fermions

14 Aharonov-Bohm effect

Stongly fluctuating spin systems

Introduction

15 Schwinger-Winger quantization procedre

16 O(3)-nonlinear sigma model in(2+1)dimensions

17 Order from disorder

18 Jordan-Wigner transformation for spin S=1/2 models

19 Majorna representation for spin S=1/2 magnets

20 Path integral representations

Physics in the world of one spatial dimension

Introduction

21 Model of the free bosonic assless scalar field

22 Relevant and irrelevant fields

23 Kosterlitz-Thouless transition

24 Conformal symmetry

25 Dfinition of conformal invariance

26 Ising model

27 Spin S=1/2 Heisenberg chain

28 On-dimensional femions with spin

29 Katz-Moody algebras

30 Wess-Zumino-Novikov-Witten model

31 Gauge fixing in non Abelian theories

32 Spin S=1 Heisenberg chain

33 Kondo chain

34 Conformal theory cookbook

35 Conclusion

Index