《玻色化和免式木某标资论强关联系统》是2010年4月1日世界图书出版公司出版的图书，作者是高戈林。

• 中文名 玻色化和强关联系统
• 定价 69.00元
• 出版社 世界图书出版公司
• 作者 高戈林
• 出版时间 2010年4月1日

内容简介

　例宽响练　Technical aspects of bosonization、A simple case of Bos来自e-Fermi e英硫表沙quivalence: J360百科ordan-Wigner训乡为拉准船调、Transformation、One-dimensional fermion States near the Fermi poin了赵川ts、Chiral anomaly、Anomalous commutators、Ganssian model. Lagrangian formulation、Bosonization、Interaction with an electromagnetic field; gauge i草课故nvariance、Conformal symmetry an穿液真支迫之握期都d finite size effects、Gaussian model in the Hami变ltonian formulation、Virasoro al民油易球gebra、Ward i那速物行dentities等等。

图书目录

　　Preface

度代想伤　　Acknowledgements

　　Part I: Technical aspects of bosonization

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

拉火继值垂师斗尼送负句　　One-dimensional fermion tates near the Fermi points

　　Chiral anomaly

　　Anomalous commutators

　菜期绝跑零围　Ganssian model. Lagrangian formulation

　　Bosonization

　　Interaction with an electromagnetic field; gauge invariance

　　Conformal symme第岩四官许没酸齐衣延又try and finite size effec垂测之头ts

　　Gaussian model in the Hamil美观对tonian formul剂免围延ation

　　Vir站育河周语asoro algeb吗达今组低木木注一后两ra

　　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 models

　　in (1 + l)-dimemions

　　Interacting fermions with spin

　　Spin-l/2 Tomonaga-Luttinger liquid

　　Instabilities of a Tomonaga-Lnttinger liquid

　　Electron-phonon interaction

　　1.1 Incommensurate band filling, the effect on K

　　1.2 Commensurate band filling

　　1.3 Appendix

　　Spectral gap in the spin sector

　　Optical conductivity

　　Gap in the charge sector at half-filling and the case of small doping

　　Appendix. RG equations for the model of one-dimensional electrons

　　from the SU(2) current algebra

　　Interacting fermions with broken spin rotational symmetry

　　U(l)-symmetric Thirring model: relation to sine-Gordon and

　　massive Thirring models

　　XYZ Thirring model

　　Spin correlation functions

　　Theroleofmagneticfield

　　IV.ISpin-floptransitionintheXYZmodel

　　IV.2Toymodelforanorbitalantfferromagnet

　　WhatmayhappenwithaTomonaga-Luttingerfiquidinthree imensions

　　Appendix.FermionicGreen'sfunction

　　1.1 oordinatespaceGreen'sfunction

　　1.2 hespectralfunction(vc>vs)

　　1.3 ouriertransformoftheGreen'sfunction(re>v)

　　1.4 hespectralfunction,vs>vc

　　1.5 ouriertransformofGreen'sfunction,vs>vc

　　TwoweaklycoupledTomonaga-Luttingerliquids;spinlemcase

　　Spinliquidsinonedimension:exampleofspinladders

　　Couplingofidenticalchains;theAbelianbosonization

　　Correlationfunctionsfortheidenticalchains

　　II.lStaggeredsusceptibilityoftheconventional(Haldane)spin iquid

　　II.2Dimerizedspinliquid

　　Inequivalentchains;non-Abelianbosonization

　　Stringorderparameterinthespin-laddermodel

　　AppendixA.Thetopologicaltermemergingfromthe

　　Wess-Zuminoterm

　　AppendixB.HiddenZ2~Z2symmetryandstringorderparameter

　　inthebond-alternatingS---1/2Heisenbergchain

　　Spin-l/2Heisenbergchainwithalternatingexchange

　　Appendix.Multiparticleformfactors

　　Superconductivityinadopedspinliquid

　　Bosonizationandfermionization

　　Superconductingfluctuations

　　Conclusions

　　Appendix.Conditionsforsuppressionofthesingle-particletunneling

　　EdgestatesinthequantumHalleffect

　　PartⅢ Singleimpurityproblems

　　Potentialsattering

　　Introduction

　　Reduction of the local scattering problem to one dimension

　　The scattering phase

　　X-ray edge problem (Fermi liquids)

　　Introduction

　　Statement of the problem

　　II.1 Many-body formulation

　　I1.2 One-particle formulation

　　Linked dusters expansion

　　Nozi6res-De Dominicis solution

　　Exact solution for the overlap integral

　　Bosonization approach to the X-ray edge problem

　　VI.1 Boundary condition changing operator (chiral anomaly)

　　VI.2 X-ray response functions via bosonization

　　Appendix A. Parquet approximation

　　Appendix B. The Wiener-Hopf method

　　Appendix C. Orthogonality of Slater determinants

　　Impurities in a Tomonaga-Luttinger liquid

　　Introduction

　　Weak-coupling analysis of a single impurity

　　II.1 Bosonization of the impurity Hamiltonian

　　II.2 Lagrangian formulation: local action

　　11.3 Renormalization group analysis of local operators

　　Strong-coupling analysis

　　III.1 Open boundary bosonization

　　111.2 Strong-coupling fixed point

　　Exact solution at K=1/2 and the conductance

　　Relation of the impurity backscattering model to the Caldeira-eggett model

　　X-ray edge problem in Tomonaga-Luttinger liquids

　　Multi-channel Kondo problem

　　Introduction

　　Qualitative analysis

　　The Toulouse limit

　　The Emery-Kivelson solution

　　IV.I Green's functions and zero-field free energy

　　IV.2 Magnetic field effects

　　IV.3 Wilson ratio

　　The Toulouse limit for the four-channel Kondo model

　　Coulomb blockade

　　VI.1 One-dimensional electrons in point contacts

　　VI.2 Coulomb blockade and two-channel Kondo model

　　General bibliography