This book is a course in modern quantum field theory as seen through the 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， Feynman 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 （Abelian and non-Abelian）， conformal field theory and theoryof integrable systems. The book is intended for graduate students， postdoctoral associatesand independent researchers working in condensed matter physics.
作者簡(jiǎn)介
暫缺《凝聚態(tài)物理學(xué)中的量子場(chǎng)論（第2版）》作者簡(jiǎn)介
圖書(shū)目錄
Preface to the first edition Preface to the second edition Acknowledgements for the first edition Acknowledgements for the second edition Ⅰ Introduction to methods 1 QFT:language and goals 2 Connection between quantum and classical: path integrals 3 Definitions of correlation functions: Wick's theorem 4 Free bosonic field in an external field 5 Perturbation theory: Feynman diagrams 6 Calculation methods for diagram series: divergences and their elimination 7 Renormalization group procedures 8 O(N)-symmetric vector model below the transition point 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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