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主要從現代凝聚態物理的角度，完整且比較簡潔闡述了臨界現象理論和重正化群。在介紹量子及統計力學的基礎上，這本書主要討論了磁鐵相變，超流體，超導體，規範場論。書中著重介紹比較現代的觀點，例如超導體中的規範場震盪，Kosterlite-Thouless轉變，對偶變換和量子態轉變，這些都是當今物理學研究的前沿。
《臨界現象現代方法引論》主要從現代凝聚態物理的角度，完整且比較簡潔闡述了臨界現象理論和重正化群。作者是知名物理家。
Preface
1 Introduction
1.1 Phase transitions and order parameters
1.2 Models： Ising，XY，Heisenberg
1.3 Universality and criticalexponents
1.4 Scaling of free energy
1.5 Correlations and hyperscaling
2 Ginzburg—Landau—Wilsontheory
2.1 Partition function for interacting bosons
2.2 Bose—Einstein condensation
2.3 Hartree approximation
2.4 Landau's mean—field theory
2.5 Upper critical dimension
3 Renormalizationgroup
3.1 Idea
3.2 Momentum—shelltransformation
3.3 ε—expansion
3.4 Dangerously irrelevant coupling
3.5 Corrections to scaling
3.6 Field—theoretic perspective
3.7 Computation of anomalous dimension
3.8 Summary
4 Superconductingtransition
4.1 Meissner effect
4.2 Fluctuation—induced first—order transition
4.3 Type—II superconductors near four dimensions
4.4 Anomalous dimension for the gauge field
4.5 Width of the critical region
5 Near lower critical dimension
5.1 Goldstone modes
5.2 Mermin—Wagner—Hohenberg theorem
5.3 Non—linear cr—model
5.4 Low—temperature expansion
5.5 Discussion
6 Kosterlitz—Thouless transition
6.1 Vortices and spin waves
6.2 Mean—field theory
6.3 Duality and the sine—Gordon theory
6.4 Renormalization of the sine—Gordon model
6.5 Universaljump of superfluid density
6.6 Heisenberg model
7 Dualityin higher dimensions
7.1 Frozen lattice superconductor
7.2 Confinement of magnetic monopoles
7.3 Magnetic field correlations
7.4 Compact electrodynamics
8 Quantum phase transitions
8.1 Dynamical critical exponent
8.2 Quantum critical point in φ4—theory
8.3 Bose—Hubbard model
8.4 Quantum fluctuations and the superfluid density
8.5 Universal conductivity in two dimensions
Appendix A Hubbard—Stratonovich transformation
Appendix B Linked—cluster theorem
Appendix C Gauge fixing for long—range order
Select bibliography
Index
