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    • 临界现象现代方法引论(英文版)
      • 作者:(加)I.赫伯特
      • 出版社:世界图书出版公司
      • ISBN:9787519214777
      • 出版日期:2016/07/01
      • 页数:210
    • 售价:23.6
  • 内容大纲

        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。
  • 作者介绍

  • 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

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