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| 本书由世界图书出版公司北京公司和剑桥大学出版社合作出版。 |
| Preface 1 From particles to fields 1.1 Classical harmonic chain: phonons 1.2 Functional analysis and variational principles 1.3 Maxwell's equations as a variational principle 1.4 Quantum chain 1.5 Quantum electrodynamics 1.6 Noether's theorem 1.7 Summary and outlook 1.8 Problems 2 Second quantization 2.1 Introduction to second quantization 2.2 Applications of second quantization 2.3 Summary and outlook 2.4 Problems 3 Feymnan path integral 3.1 The path integral: general formalism 3.2 Construction of the path integral 3.3 Applications of the Feynman path integral 3.4 Summary and outlook 3.5 Problems 4 Functional field integral 4.1 Construction of the many-body path integral 4.2 Field integral for the quantum partition function 4.3 Field theoretical bosonization: a case study 4.4 Summary and outlook 4.5 Problems 5 Perturbation theory 5.1 General structures and low-order expansions 5.2 Ground state energy of the interacting electron gas 5.3 Infinite-order expansions 5.4 Summary and outlook 5.5 Problems 6 Broken symmetry and collective phenomena 6.1 Mean-field theory 6.2 Plasma theory of the interacting electron gas 6.3 Bose-Einstein condensation and superfluidity 6.4 Superconductivity 6.5 Field theory of the disordered electron gas 6.6 Summary and outlook 6.7 Problems 7 Response functions 7.1 Crash course in modem experimental techniques 7.2 Linear response theory 7.3 Analytic structure of correlation functions 7.4 Electromagnetic linear response 7.5 Summary and outlook 7.6 Problems 8 The renormalization group 8.1 The one-dimensional Ising model 8.2 Dissipative quantum tunneling 8.3 Renormalization group: generaltheory 8.4 RG analysis of the ferromagnetic transition 8.5 RG analysis of the nonlinear o'-model 8.6 Berezinskii-Kosterlitz-Thouless transition 8.7 Summary and outlook 8.8 Problems 9 Topology 9.1 Example: particle on a ring 9.2 Homotopy 9.3 0-Terms 9.4 Wess-Zumino terms 9.5 Chern-Simons terms 9.6 Summary and outlook 9.7 Problems Index |
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