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　　分類: 图书,自然科学,物理学,固体物理学,

作者： （英）高戈林 著

出 版 社： 世界图书出版公司

出版时间： 2010-4-1字数：版次： 1页数： 422印刷时间： 2010-4-1开本： 16开印次： 1纸张： 胶版纸I S B N ： 9787510005589包装： 平装

内容简介

Technical aspects of bosonization、A simple case of Bose-Fermi equivalence: Jordan-Wigner、Transformation、One-dimensional fermion States near the Fermi points、Chiral anomaly、Anomalous commutators、Ganssian model. Lagrangian formulation、Bosonization、Interaction with an electromagnetic field; gauge invariance、Conformal symmetry and finite size effects、Gaussian model in the Hamiltonian formulation、Virasoro algebra、Ward identities等等。

目录

Preface

Acknowledgements

Part Ⅰ: Technical aspects of bosonization

A simple case of Bose-Fermi equivalence: Jordan-Wigner transformation

One-dimensional fermion tates near the Fermi points

Chiral anomaly

Anomalous commutators

Ganssian model. Lagrangian formulation

Bosonization

Interaction with an electromagnetic field; gauge invariance

Conformal symmetry and finite size effects

Gaussian model in the Hamiltonian formulation

Virasoro algebra

Ward identities

Subalgebra sl(2)

Structure of Hilhert space in conformal theories

Differential equations for correlation functions

Dotsenko——Fateev bosonization scheme for the minimal models

Current (Kac-Moody) algebras; the first assault

Sugawara Hamiltonian for Wess-Zumino-Novikov-Witten model

Knizhnik-Zamolodchikov (KZ) equations

Relevant and irrelevant fields

Bose-Einstein Condensation in two dimensions; Beresinskii-

Kesterlitz-Thouless transition

The sine-Gordon model

The renormalization group analysis

Exact solution of the sine-Gordon model

Spin S-1/2 Heisenberg-lsing chain

Explicit expression for the dynamical magnetic susceptibility

Ising model

More about the WZNW model

Special cases

1.1 SU1(2) WZNW model as a Gaussian model

1.2 SU2(2) WZNW model and the Ising model

1.3 SU4(2) as a theory of two bosonic fields

1.4 SUI0(2) as a theory of three bosonic fields

Deformation of the WZNW model and coset constructions

Non-Abelian bosznization

WZNW model in the Lagrangian formulation

Derivation of the Lagrangian

Calculation of a nontrivial determinant

Part Ⅱ: Application of the bosonization technique to physical

Part Ⅲ Singleimpurityproblems

 

 

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