全新正版玻色化和强关联系统978751000558界图书出版公司

Preface
Acknowledgements
Part Ⅰ: Technical aspects of bosonization
1 A simple case of Bose-Fermi equivalence: Jordan-Wigner transformation
2 One-dimensional fermions. States near the Fermi points
Ⅰ Chiral anomaly
Ⅱ Anomalous commutators
3 Ganssian model. Lagrangian formulation
Ⅰ Bosonization
Ⅱ Interaction with an electromagnetic field; gauge invariance
4 Conformal symmetry and finite size effects
Ⅰ Gaussian model in the Hamiltonian formulation
5 Virasoro algebra
Ⅰ Ward identities
Ⅱ Subalgebra sl(2)
6 Structure of Hilbert space in conformal theories
Ⅰ Differential equations for correlation functions
Ⅱ Dotsenko-Fateev bosonization scheme for the minimal models
7 Current (Kac-Moody) algebras; the first assault
Ⅰ Sugawara Hamiltonian for Wess-Zumino-Noko-Wtten model
Ⅱ Knizhnik-Zamolodchikov (KZ) equations
8 Relevant and irrelevant fields
9 Bose-Einstein Condensation in two dimensions; BeresinskiiKosterlJtz-Tbouless transition
10 The sine-Gordon model
Ⅰ The renormalization group analysis
Ⅱ Exact solution of the sine-Gordon model
11 Spin S - 1/2 Heiseuherg-lsiug chain
Ⅰ Explicit expression for the dynamica anetic susceptibility
12 Isiug model
13 More about the WZNW model
Ⅰ Special cases
Ⅰ.1 SU1(2) WZNW model as a Gaussian model
Ⅰ.2 SU2(2) WZNW model and the Ising model
Ⅰ.3 SU4(2) as a theory of two bosonic fields
Ⅰ.4 SU10(2) as a theory of three bosonic fields
Ⅱ Deformation of the WZNW model and coset constructions
14 Non-Ahelian bosonization
Ⅰ WZNW model in the Lagrangian formulation
Ⅱ Derivation of the Lagrangian
Ⅲ Calculation of a nontrivial determinant
Part Ⅱ: Application of the hesonizatiou technique to physical models in (1+1)-dimemions
15 Interacting fermions with spin
16 Spin-l/2 Tomonaga-Luttinger liquid
17 Instabilities of a Tomouaga-Luttinger liquid
Ⅰ Electron-phonon interaction
Ⅰ.1 Incommensurate band filling, the effect on Kc
Ⅰ.2 Commensurate band filling
Ⅰ.3 Appendix
Ⅱ Spectral gap in the spin sector
Ⅲ Optical conductivity
Ⅳ Gap in the charge sector at half-filling and the case of small doping
Ⅴ Appendix. RG equations for the model of one-dimensional electrons from the SU(2) current algebra
18 Interacting fermions with broken spin rotational symmetry
Ⅰ U(l)-symmetric Thirring model: relation to sine-Gordon and massive Thirfing models
Ⅱ XYZ Thirring model
Ⅲ Spin correlation functions
Ⅳ The role of magnetic field
Ⅳ.1 Spin-flop transition in the XY'Z model
Ⅳ.2 Toy model for an orbital antiferromagnet
19 What may happen with a Tomomlln-Lattinger liquid in three dimensions
Ⅰ Appendix. Fermionic Green's function
Ⅰ.1 Coordinate space Green's function
Ⅰ.2 The spectral function (Vc > vs)
Ⅰ.3 Fourier transform of the Green's function (vc > v,)
Ⅰ.4 The spectral function, v, > vc
Ⅰ.5 Fourier transform of Green's function, v, > ve
20 Two weakly coupled Tomonaga--Lm/iager liquids; spinless ease
21 Spin qid n one dintension: example of spin ladders
Ⅰ Coupling of identical chains; the Abel/an bosonization
Ⅱ Correlation functions for the identical chains
Ⅱ.1 Staggered susceptibility of the conventional (Haldane) spin liquid
Ⅱ.2 Dimerized spin liquid
Ⅲ Inequivalent chains; non-Abelian bosonization
Ⅳ String order parameter in the spin-ladder model
Ⅴ Appendix A. The topological term emerging from the Wess-Zumino term
Ⅵ Appendix B. Hidden Z2 ~ Z2 symmetry and string order parameter in the bond-alternating S = 1/2 Heisenberg chain
22 Spin-l/2 Heisenberg chain with alternating exchange
Ⅰ Appendix. Multiparticle formfactors
Superconductivity in a doped spin liquid
Ⅰ Bosonization and fermionization
Ⅱ Superconducting fluctuations
Ⅲ Conclusions
Ⅳ Appendix. Conditions for suppression of the singie-particle tunneling
24 Edge states in the quantum Hall effect
Part Ⅲ: Single impurity problems
25 Potential scattering
Ⅰ Introduction
Ⅱ Reduction of the local scattering problem to one dimension
Ⅲ The scattering phase
26 X-ray edge problem (Fermi liquids)
Ⅰ Introduction
Ⅱ Statement of the problem
Ⅱ.1 Many-body formulation
Ⅱ.2 One-particle formulation
Ⅲ Linked clusters expansion
Ⅳ Nozieres-De Dominicis solution
Ⅴ Exact solution for the overlap integral.
Ⅵ Bosonization approach to the X-ray edge problem
Ⅵ.1 Boundary condition changing operator (chiral anomaly)
Ⅵ.2 X-ray response functions via bosonization
Ⅶ Appendix A. Parquet approximation
Ⅷ Appendix B. The Wiener-Hopf method
Ⅸ Appendix C. Orthogonality of Slater determinants
27 Impurities in a Tomonaga-Luttinger liquid
Ⅰ Introduction
Ⅱ Weak-coupling analysis of a single impurity
Ⅱ.1 Bosonization of the impurity Hamiltonian
Ⅱ.2 Lagrangian formulation: local action
Ⅱ.3 Renormalization group analysis of local operators
Ⅲ Strong-coupling analysis
Ⅲ.1 Open boundary bosonization
Ⅲ.2 Strong-coupling fixed point
Ⅳ Exact solution at K = 1/2 and the conductance
Ⅴ Relation of the impurity backscattering model to the CaldeiraLeggett model
Ⅵ X-ray edge problem in Tomonaga-Luttinger liquids
28 Multi-channel Kondo problem
Ⅰ Introduction
Ⅱ litative analysis
Ⅲ The Toulouse limit
Ⅳ The Emery-Kivelson solution
Ⅳ.1 Green's functions and zero-field free energy
Ⅳ.2 Magnetic field effects
Ⅳ.3 Wilson ratio
Ⅴ The Toulouse limit for the four-channel Kondo model
Ⅵ Coulomb blockade
Ⅵ.1 One-dimensional electrons in point contacts
Ⅵ.2 Coulomb blockade and two-channel Kondo model
General bibliography
Index

玻色化已经成为研究现代多体问题的一个重要的方法。本书详细说明了玻色化技术及其在强关联系统中的应用。本书内容分为四个部分。部全面介绍玻色化技术，内容包括一维费米子，高斯模型，共形场论中Hilbert空间的结构，两维玻色－爱因斯坦凝聚，非阿贝尔玻色化，Ising模型和WZNW模型。第二部分介绍了玻色化技术在实际模型中的应用，包括Tomonaga－Luttinger液体，一维自旋液体和交换作用交替分布的自旋1/2Heisenberg模型。第三部分着重介绍了量子杂质问题，内容包括势散，透边缘问题，Tomonaga－Luttinger液体中的杂质和多通道近藤问题。