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| Fradkin E. — Field theories of condensed matter systems |
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| Предметный указатель |
Gauge-invariant fermion system 267
Gauss law 155—156 214 229
Generalized boundary conditions 276
Generalized equal-time commutation relations 213
Generalized periodic boundary conditions 282
Generalized toroidal boundary conditions 275
Generating functional 267 271
Genus g Riemann surface 283
Girvin — MacDonald order parameter 317
Global degrees of freedom 221
Global phase invariance 271
Goldstone mode 235
Goldstone mode, Fetter — Hanna — Laughlin 235 237
Goldstone modes 319 321
Goldstone’s theorem 32
Goldstone’s theorem, boson 43 46
Goldstone’s theorem, Fetter — Hanna — Laughlin 239
Goldstone’s theorem, modes 42
Gradient expansion 273
Gross — Neveu interaction 72
Group of magnetic translations 281
Gutzwiller projection 150
Haldane’s conjecture 109 118
Half-filling 29 32
Hall conductance 236 272—273 284 289 331 333
Hall conductance, filled Hofstadter bands 287
Hall conductance, fractional 263
Hall conductance, Kubo Formula 274
Hall conductance, level crossing 282
Hall conductance, n-th band 291
Hall conductance, negative 292
Hall conductance, plateaus 263 —264
Hall conductance, quantization 273
Hall conductance, topological invariance 274 278
Hall current 248 273 333
Halperin wave function 312
Happy fraction 233 239
Hard-core anyons 213
Hard-core bosons 64 205
Hard-core bosons, in Heisenberg Model 205
Hard-core condition 218 220
Harper’s equation 260
Hedgehogs 119
Height-height correlation function 165
Heisenberg antiferromagnet 138
Heisenberg antiferromagnet, flux state 145
Heisenberg antiferromagnet, frustrated/on square lattice 178
Heisenberg antiferromagnet, Mean-Field theory 138
Heisenberg antiferromagnet, SU(N) representation 142
Heisenberg antiferromagnet, two-dimensional quantum 221
Heisenberg antiferromagnet, valence bond states 146
Heisenberg model 55 67 92 185
Heisenberg Model, anisotropic one-dimensional Quantum 67
Heisenberg model, classical 114
Heisenberg Model, hard-core bosons representation 205
Heisenberg Model, one-dimensional Quantum 55
Heisenberg Model, quantum 92
Heisenberg Model, spin one-half 185
Heterojunctions 263
Hierarchy 306 330
Hierarchy states 317
Higgs mechanism 243
Higgs mechanism, Hall conductance in 263
High-frequency modes 273
High-momentum modes 273
Hofstadter problem 232 287
Hofstadter problem, sublattice structure 287
Hofstadter wave functions 257
Holon 138
Holonomies 268 276
Holonomies, trivial 283
Homogeneous constrait equation 221
Homotopy 107
Homotopy, classes 107 281
Homotopy, group 118
Honest-to-god 319
Hopf map 121
Hopf term 118 122
Hubbard model 5 21 46 92
Hubbard Model, attractive/repulsive 10
Hubbard Model, charge motion 13
Hubbard Model, coupling to electromagnetic field 8
Hubbard Model, electrostatic coupling 9
Hubbard Model, expansion 41
Hubbard Model, gauge invariance 9
Hubbard Model, half-filled 92
Hubbard Model, half-filling 21
Hubbard Model, interaction term 22
Hubbard Model, Mean-field-theory 21
Hubbard Model, Mean-field-theory, ferromagnetic state 26
Hubbard Model, Mean-field-theory, Neel state 29
Hubbard Model, on a bipartite lattice 9
Hubbard Model, orbital coupling 9
Hubbard Model, particle-hole symmetry 9
Hubbard Model, strong coupling limit 10
Hubbard Model, strong coupling limit, half-filling 10
Hubbard Model, strong coupling limit, not half-filling 13
Hubbard Model, SU(2) symmetry 7
Hubbard Model, transformation symmetries 7
Hubbard Model, U(l) symmetry 8
Hubbard Model, weak coupling 21
Hubbard Model, weak coupling limit 13 21
Hubbard Model, weak coupling limit, collective modes 18
Hubbard Model, weak coupling limit, Cooper pair correlation function 19
Hubbard Model, weak coupling limit, current correlation function 19
Hubbard Model, weak coupling limit, density correlation function 19
Hubbard Model, weak coupling limit, spin correlation function 19
Hubbard Model, weak coupling limit, wave function renormalization 18
Hubbard Model, Zeeman coupling 9
Hubbard — Stratonovich transformation 327
Incompressible ground state 322
Incompressible state 205 319
Induced vector field 278
Infinitesimal magnetic translations 253
Instanton 106
Integral Quantum Hall Effect (IQHE) 235 263 326
Interaction 72 129
Interaction, frustrating 129
Interaction, Gross — Neveu 72
Intrinsic spin 201
Ising model 209
Isotropic gauge 252
Jordan — Wigner transformation 64 67 208 212
Jordan — Wigner transformation, two-dimensional 220
Kac — Moody algebra 309
Kalmeyer — Laughlin state 131 205
Kink 208
Kink operator 65
Knots 193 201
Kosterlitz — Thouless transition 86
Kubo formula 275 277 288
Kubo formula, Hall conductance 274
Ladder operator 154
Lagrange multiplier field 212
Landau gap 273
Landau gauge 257 284
Landau level 296
Landau levels 253
Landau levels, basis functions 284
Landau levels, degeneracy 253
Landau levels, filled 263
Landau levels, macroscopic degeneracy 296
Landau orbits 99
Landau problem 251
Landau problem, complex coordinates 252
Landau problem, isotropic gauge 252
Landau problem, magnetic translation group 252
Landau problem, on a disk 252
Landau problem, with periodic boundary conditions 256
Landau — Ginzburg action 241
| Landau — Ginzburg theory 295 316 319
Landau — Hofstadter bands 289 291
Landau — Lifshitz equation 102
Landau — Lorentz gauge 323
Laplacian coupling 164
Large gauge transformation 160 215 256
Large gauge transformation, Landau problem 256
Lattice Cauchy — Riemann equation 217
Lattice divergence 156
Lattice gauge theory 140 154
Lattice Green function 169 216
Lattice Green function, three-dimensional anisotropic 169
Lattice magnetic translations 258
Laughlin sequence 317 330
Laughlin state 205 265 295 316 326
Laughlin wave function 295 319
Laughlin wave function, analyticity 298
Laughlin wave function, overlap 298
Linear response theory 267
Link variables 139
Linking number 120 202
Linking number, magnetostatic analogy 200
Linking number, relative 202
Liquid state 298
Local constraint 214
Local quantum field theory 207
Local quantum field theory, axioms 207
London current 248
Low energy spectrum 239
Low energy spectrum, anyon gas 239
Low energy spectrum, with fractional statistics 193
Luttinger model 73
Magnetic algebra 253
Magnetic Brillouin zone 259 288
Magnetic Brillouin zone, and time-reversal invariance 193
Magnetic monopole 98 279
Magnetic translation 252
Magnetic translation, finite 253 258
Magnetic translation, generator of infinitesimal 253
Magnetic translation, many-body wave functions 281
Magnetic translation, operator 253 276
Magnetic translations group 252
Magnetic translations group, ray representation 254
Magnetophonon 322
Magnetoplasmon 322
Magnetoroton 322
Magnetostatic analogy 200
Magnetostatic analogy of linking number 200
Magnons 101
Magnons, antiferromagnetic 102
Magnons, ferromagnetic 101
Mandelstam formula 208
Mandelstam operators 85
Marshall theorem 63
Mass renormalization 200
Mass renormalization, spinon 200
Massive modes 322
Mean-field theory 21 138
Mean-Field theory, chiral spin state 178
Mean-Field theory, flux state 146
Mean-Field theory, Heisenberg antiferromagnet 138
Mean-Field theory, Hubbard Model 21
Mean-Field theory, valence bond state 151
Measuring instruments 268
Meissner effect 230
Meissner state 319
Mermin — Wagner theorem 86
Model 55 67 91 137 230
Model,  121 137
Model, anisotropic one-dimensional Quantum Heisenberg 67
Model, classical Heisenberg 114
Model, Discrete Gaussian 164
Model, half-filled Hubbard 92
Model, one-dimensional Quantum Heisenberg 55
Model, Quantum Dimer (QDM) 152
Model, quantum Heisenberg 92
Model, quantum non-linear sigma 91
Model, Solid-on-Solid 164
Model, spin one-half XY 67 69
Model, SU(N) Heisenberg antiferromagnet 142
Model, Thirring/Luttinger 73
Model, XY 230
Momentum space torus 288
Monopole gas 168
Monopole-antimonopole plasma 158
Monopoles 197 199
Monopoles, confinement 197
Monopoles, in high magnetic field 263
Multicomponent wave functions 282
Multivalued function 217
Multivalued wave function 203
Neel antiferromagnet 32
Neel state 29 42 46 103
Neel state, quantum fluctuations 43 51
Negative Hall conductance 292
Nesting 29
Nesting, property 29
Nesting, vector 29
Nielsen — Ninomiya theorem 262
Niu — Thouless — Wu formula 278 284
Non-Abelian bosonization 118
Non-contractible closed loop 215
Non-integrable phases 221
Non-linear  -model 51 91 129
Non-linear -model, asymptotic freedom 115
Non-linear -model, coupling constant 113
Non-linear -model, dimensionless coupling constant 110
Non-linear -model, effective coupling with frustration 129
Non-linear -model, fast modes 110
Non-linear -model, momentum shell integration 111
Non-linear -model, quantum 91
Non-linear -model, quantum fluctuations 109 125
Non-linear -model, renormalization group transformation 110
Non-linear -model, RG beta-function 112
Non-linear -model, scale invariance 110
Non-linear -model, slow modes 110
OfF-diagonal long range order (ODLRO) 230 317
One-component wave functions 282
One-dimensional relativistic fermions 271
One-particle Hamiltonian 251
One-particle states 283
One-particle states, Hofstadter problem 288
Onsager fermions 216
Operator 65 175
Operator, chiral 175
Operator, dimension 85
Operator, disorder 66
Operator, kink 65
Operator, Mandelstam 85
Operator, normal ordered 75
Operator, parafermion 209
Operator, point-split product 76
Operator, product expansion 73 80
Operator, relevant 85
Operator, soliton 65 80
Operator, umklapp 83
Operator, umklapp, bosonized 83
Operator, Wilson loop 199
Orbital coupling 9
Orbital coupling, and parity 193
Orbital coupling, Hubbard Model 9
Orbital ferromagnetism 177
Orbital spin currents 177
Order parameter 48 85 103 317 323
Order parameter, chiral 85
Order parameter, gauge invariant 324
Order parameter, staggered 48 103
Pair-wave-functions 285
Parafermion 209
Parity 179 182 193
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