
《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 很of strongly correlatedsystems. The book contains a thorough exposition of such nonpert院urbative 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.
图书目录
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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