Tsvelik A.M. — Quantum field theory in condensed matter physics :: Электронная библиотека попечительского совета мехмата МГУ

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Tsvelik A.M. — Quantum field theory in condensed matter physics

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Название: Quantum field theory in condensed matter physics

Автор: Tsvelik A.M.

Аннотация:

This course in modern quantum field theory for condensed matter physics includes a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals. Alexei Tsvelik also covers Landau Fermi liquid theory and gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques, as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. First edition Hb

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Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 2003

Количество страниц: 360

Добавлена в каталог: 12.02.2011

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Предметный указатель

Abrikosov — Suhl resonance      185
Aharonov — Bohm effect      129
Anderson model      184 189—192
Anomalous commutator      126
Anomalous Green's function      327
Anomaly      123 228 293
asymptotic freedom      62
Berry phase      149
Bethe ansatz      307
Bosonization, Abelian      126
Bosonization, non-Abelian      292—298
Breathers (in the sine-Gordon model)      314—315
Central charge for the minimal models      242
Central charge for the Wess — Zumino — Novikov — Witten model      279
Central charge, definition      228
Central charge, relation to the specific heat      224
Charge density wave      274
Chern — Simons QED      133
Chern — Simons term      131—133
Chern — Simons term, general expression      135
Christoffel symbol      38
Clifford algebra      180
confinement      319
Conformal anomaly      228
Conformal coordinates      40
Conformal dimension      202
Conformal embedding      282
Conformal spin      202
Conformal symmetry      40 219—221
Covariance      37
Curie law      144
Curie — Weiss temperature      143
Differential geometry      34—40
Disorder operators (for the lsing model)      249
Doped antiferromagnets      184
Dual field      201
Duality transformation (for the Ising model)      249
Dyson equation      45
Electrodynamics      103 123
Equivalence between bosons and fermions      172 255
Equivalence between classical and relativistic electrons in one dimension      121
Equivalence between quantum field theory and statistical mechanics      15
Euler parametrization of the SU(2) group      36 295
Fermi liquid      96
Feynman diagrams      41 94
Finite size effects in critical models      220
Formfactors      311
Frustration      143—146
Fusion rules      229
Gauge symmetry      106 132 182 189
Gauss — Bonnet theorem      77
Gell — Mann — Low equations      61 74 207
Gell — Mann — Low equations, for nonlinear sigma model      76
Ghosts      356—357
Goldstone bosons      69 74
Graded algebras      187
Grassmann numbers      92
Hausdorff formula      222
Heisenberg chain, spin 1      334
Heisenberg chain, spin-1/2      257 286
Hubbard model      269
Hubbard operators      186
Hubbard — Stratonovich transformation      181 325
Index theorem      135
Irrelevant perturbation      206
Jordan — Wigner transformation      172
Kac — Moody algebra      278
Kagome lattice      146
Klein factors      271
Knight shift      13
Knizhnik — Zamolodchikov equations      281
Kondo chain      350
Kondo effect      184
Kosterlitz — Thouless (KT) transition      212
Lagrangian      25—26

Lehmann series      11 220 301
Lsing model      245
Lsing model in magnetic field      253
Luttinger theorem      327—328
Magnetic susceptibility (dynamical)      13
Majorana fermion representation of Kac — Moody algebra      289
Majorana fermion representation of spin-1/2 operators      180
Majorana fermions      180 248 289 338
Majumdar — Ghosh chain      155
Marginal operator      207
Maxwell equations      104
Metrics      34
Minimal conformal models      243
Muon resonance      13
Neutron scattering      12
Nuclear magnetic resonance      13
O(N) nonlinear sigma model      69
O(N)-syminetric vector model      41 51 56 63 66 74 82
Operators, correlation functions      8—12
Operators, product expansion      227 229
Operators, time dependence      9
Path integral for bosons      15 25
Path integral for doped antiferromagnets      189
Path integral for fermions      93
Path integral for spins      149
Pauli — Willars regularization      158
Peierls instability      325
Primary fields      226
QCD      355
Quantum critical phase in O(3) nonlinear sigma model      160
Quantum disordered phase in O(3) nonlinear sigma model      160
Quantum Hall ferromagnet      137
Raman scattering      14
Renormalization      56
Ricchi tensor      76
Riemann tensor      76
Scaling dimension      206
Schwinger model      127
Schwinger — Wigner representation of spin      155
Screening operators      241
Semiclassical approach to electrodymanics in metals      104
Semiclassical approximation      32
Sine-Gordon model      208 312 320
Sinh-Gordon model      307
Skin effect      105
Skyrmion      162
Slave bosons      188
Spin, density wave      274
Spin, fluid      144
Spin, nematic      169
Spin-charge separation      267
Spin-Peierls transition      146 182
Spinors      119
Stress energy tensor      221 227—228
Sugawara Hamiltonian      295
T-J model      187
Tensors (covariant and contravariant)      37—38
Tomonaga — Luttinger model      255
Topological charge      139
Topological term      152
Ultrasound absorption      14
Umklapp process      270
Universality hypothesis      61
Valence bond state      179
Virasoro algebra      226
Wess — Zumino — Novikov — Witten model      273 279 292 300
Wick's theorem for bosons      25
Wick's theorem for fermions      89
Wilson loop      114—115
X-ray scattering      13
XXZ model      172 258
Yang — Baxter relations      305
Zamolodchikov — Faddeev algebra      305
Zamolodchikov’s theorem      208
Zero charge behaviour      62

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