凝聚态物理学中的量子场论

百科

《凝聚态物理学中的量子场论(第来自2版)》,This book is a course in modern quantum field theory as seen through the eyes of a theorist杨军呀衣置知定创段working 360百科in condensed matter physics.

  • 书名 凝聚态物理学中的量子场论
  • 作者 泰斯韦利科(AlexeiM.Tsvelik)
  • ISBN 9787510005534
  • 定价 49.00元
  • 出版社 世界图书出版公司

内容简介

  《凝聚态物理学中的量子场论(第2版)》内容简介:This book is a course in modern quantum field theory as seen through t来自he eyes of a theoristworking in condensed matter physics. It contains a gentle introduction to the subject andcan therefore be used even by graduate students. The introductory parts include a deriva-tion of the path integral representation, Feyn360百科man diagrams and elements of the theory ofmetals including a discussion of Landau Fermi liquid theory. In later chapters the discus-sion gradually turns to more advanced methods used in the theory of strongly correlatedsystems. The book contains a thorough exposition of such nonperturbative techniques as1/N-expansion, bosonization (Ab继景屋加皇含台测降elian and non-A田相除belian), conformal field theory and theoryof integrable systems. The book is intended for gradua多传层想破te students, postdoctoral associatesand independent researchers working in condensed matter physics.

图书目

  Preface to the first edition

  Preface to the sec去吧九黄州题同某练ond edition

 屋怕原元神没 Acknowledgements for the first edit另毛ion

  Acknowl照演岩控另器限独也更皇edgements for the second edition

  Ⅰ Introducti么斤工仅我械势热沿乱万on to methods

  1 QFT:language and goals

  2 Connection between quantum and cl钱八布响阻架assical: pa世维田田划接即哪否妈室th integrals

  3 Definitions of correlation funct精注拿白杨跟ions: Wick's theorem

  4 Free bosonic field in an externa山每须装他青种庆l field

  5 Perturbation theory: Feynman diagrams

  6 Calculation methods for diagram series己宁革义提: divergences and their elimination

  7 Renormalization group proced衡活盾占占施染苗觉推倍ures

  8 O(N)-symmetric vector model below the tra如迫吸宜居压雷nsition point

 节然流十你针师感坚杆结 9 Nonlinear sigma models in two dimensions: renormalization group and 1/N-expansion

  10 0(3) nonlinear sigma model in the strong coupling limit

  Ⅱ Fermions

  11 Path integral and Wick's theorem for fermions

  12 Interacting electrons: the Fermi liquid

  13 Electrodynamics in metals

  14 Relativistic fermions: aspects of quantum electrodynamics (1+1)-Dimensional quantum electrodynamics (Schwinger model)

  15 Aharonov-Bohm effect and transmutation of statistics

  The index theorem

  Quantum Hall ferromagnet

  Ⅲ Strongly fluctuagng spin systems

  Introduction

  16 Schwinger-Wigner quantization procedure: nonlinear sigma models

  Continuous field theory for a ferromagnet

  Continuous field theory for an antiferromagnet

  17 O(3) nonlinear sigma model in (2 + 1) dimensions: the phase diagram

  Topological excitations: skyrmions

  18 Order from disorder

  19 Jordan-Wigner transformation for spin S = 1/2 models in D = 1, 2, 3

  20 Majorana representation for spin S =1/2 magnets: relationship to Z2

  lattice gauge theories

  21 Path integral representations for a doped antiferromagnet

  N Physics in the world of one spatial dimension

  Introduction

  22 Model of the free bosonic massless scalar field

  23 Relevant and irrelevant fields

  24 Kosterlitz-Thouless transition

  25 Conformal symmetry

  Gaussian model in the Hamiltonian formulation

  26 Virasoro algebra

  Ward identities

  Subalgebra sl(2)

  27 Differential equations for the correlation functions

  Coulomb gas construction for the minimal models

  28 Ising model

  Ising model as a minimal model

  Quantum lsing model

  Order and disorder operators Correlation functions outside the critical point Deformations of the Ising model

  29 One-dimensional spinless fermions: Tomonaga-Luttinger liquid

  Single-electron correlator in the presence of Coulomb interaction

  Spin S = 1/2 Heisenberg chain

  Explicit expression for the dynamical magnetic susceptibility

  30 One-dimensional fermions with spin: spin-charge separation

  Bosonic form of the SU1 (2) Kac-Moody algebra

  Spin S = 1/2 Tomonaga-Luttinger liquid

  Incommensurate charge density wave

  Half-filled band

  31 Kac-Moody algebras: Wess-Zumino--Novikov-Witten model

  Knizhnik-Zamolodchikov (KZ) equations

  Conformal embedding

  SUI(2) WZNW model and spin S = 1/2 Heisenberg antiferromagnet

  SU2(2) WZNW model and the Ising model

  32 Wess-Zumino-Novikov-Witten model in the Lagrangian form:

  non-Abelian bosonization

  33 Semiclassical approach to Wess-Zumino-Novikov-Witten models

  34 Integrable models: dynamical mass generation

  General properties of integrable models

  Correlation functions: the sine-Gordon model

  Perturbations of spin S = 1/2 Heisenberg chain: confinement

  35 A comparative study of dynamical mass generation in one and three dimensions

  Single-electron Green's function in a one-dimensional charge density wave state

  36 One-dimensional spin liquids: spin ladder and spin S = 1 Heisenberg chain

  Spin ladder

  Correlation functions

  Spin S = 1 antiferromagnets

  37 Kondo chain

  38 Gauge fixing in non-Abelian theories: (1+1)-dimensional quantum

  chromodynamics

  Select bibliography

  Index

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