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| Tsvelik A.M. — Quantum field theory in condensed matter physics |
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| Предметный указатель |
 model 187
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 126 203
Bosonization, non — Abelian 292—298
Breathers (in the sine — Gordon model) 314—315
Central charge, definition 228
Central charge, for the minimal models 242
Central charge, for the Wess — Zumino — Novikov — Witten model 279
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 lsing 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 106 132 182 189 355—357
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-1/2 257 286 320
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( ) nonlinear sigma model 69
O()-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 — Peierls transition 146 182
Spin, density wave 274
Spin, fluid 144
Spin, nematic 169
Spin-charge separation 267
Spinors 119
Stress energy tensor 221 227 228
Sugawara Hamiltonian 295
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 172 258 260
Yang — Baxter relations 305
Zamolodchikov — Faddeev algebra 305
Zamolodchikov’s theorem 208
Zero charge behaviour 62
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