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临界现象现代方法引论(英文版)

  • 定价: ¥59
  • ISBN:9787519214777
  • 开 本:16开 平装
  • 作者:(加)I.赫伯特
  • 立即节省:
  • 2016-07-01 第1版
  • 2016-07-01 第1次印刷
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导语

  

内容提要

  

    I.赫伯特编著的《临界现象现代方法引论》主要从现代凝聚态物理的角度,完整且比较简洁阐述了临界现象理论和重正化群。在介绍量子及统计力学的基础上,这本书主要讨论了磁铁相变,超流体,超导体,规范场论。书中着重介绍比较现代的观点,例如超导体中的规范场震荡,Kosterlite-Thouless转变,对偶变换和量子态转变,这些都是当今物理学研究的前沿。

目录

Preface
1 Introduction
  1.1  Phase transitions and order parameters
  1.2  Models: Ising, XY, Heisenberg
  1.3  Universality and critical exponents
  1.4  Scaling of free energy
  1.5  Correlations and hyperscaling
2 Ginzburg-Landau-Wilson theory
  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 Renormalization group
  3.1  Idea
  3.2  Momentum-shell transformation
  3.3  E-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 Superconducting transition
  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 σ-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  Universal jump of superfluid density
  6.6  Heisenberg model
7 Duality in 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 ~4-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