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| Fradkin E. — Field theories of condensed matter systems |
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| Предметный указатель |
Parity anomaly 180 234
Parity, spontaneously broken 179
Particle-hole symmetry 10
Particle-hole symmetry, Hubbard Model 10
Particles 212
Particles, binding to flux 212
path integral 92 139 227 315
Path integral, Chern — Simons theory 227
Path integral, coherent states 313
Path integral, Discrete Gaussian Model 166
Path integral, for fermion Green functions 267
Path integral, for spinon propagation amplitude 198
Path integral, Heisenberg antiferromagnet 139
Path integral, many-spin systems 99
Path integral, quasihole one-particle Green function 335
Path integral, single spin 92
Path integral, spin coherent state representation 95
Path ordered product 171
Pauli operators 220
Peierls 32
Peierls, gap 181
Peierls, instability 32
Peierls, mass 182
Peierls, state 146 152 162
Periodic boundary conditions 287
Periodic boundary conditions, Landau problem 256
periodicity 219
Periodicity of the statistical angle 218
Phase factor 202
Phase factor, from inequivalent topological classes 202
Phase twist 276
Physical states 214
Plasma frequency 247
Plateau 264
Plateau, Hall conductance 264
Plateau, of Hall conductance 263
Poisson summation formula 168
Polarization tensor 195 267 272 331
Polyacetylene chains 282
Pontryagin index 92 105
Principal U(l) bundle 281
Propagator 195
Propagator, fermion 195
Propagator, gauge fields 197
Propagator, spinon 198
Punctured plane 210
Quantized Hall conductance 263
Quantum Dimer Model 152 168
Quantum Dimer Model, quantum dynamics 154
Quantum Hall effect 193 235 240 251 263
Quantum Hall Effect, conductance 248
Quantum Hall Effect, fractional 205 263
Quantum Hall Effect, integer 251 263
Quantum Hall Effect, quantized 240
Quantum Hall state 240
Quantum Heisenberg Model 11
Quantum Heisenberg Model, hard-core bosons representation 205
Quantum magnets 212
Quantum paramagnet 130 152
Quasi-electron 305
Quasihole 334 338
Quasihole, anyons 313
Quasihole, charge 337
Quasihole, coherent states 313
Quasihole, excitation energy 303
Quasihole, linking number 337
Quasihole, one-particle Green function 335
Quasihole, path integral 315
Quasihole, statistics 338
Quasiparticles quantum numbers 334
Random phase approximation (RPA) 230
Relative coordinates 285
Relative linking number 202
Renormalization group 109
Renormalization group, transformation 110
Representations 281
Representations, group of magnetic translations 281
Resonating Valence Bond 131 133
Resonating Valence Bond (RVB) 91
Resonating Valence Bond, gauge field dynamics 196
Resonating Valence Bond, nearest-neighbour 133
Resonating Valence Bond, short-range 133 153
Resonating Valence Bond, short-range, non-orthogonality 134
Resonating Valence Bond, short-range, spin-spin correlation function 135
Resonating Valence Bond, short-range, staggered correlation function 136
Resonon 158
Riemann surface 283
Riemann surface of genus g 283
Roughening transition 164
Saddle-point approximation (SPA) 40 144 230
Saddle-point expansion 139 326
Scattering 22 73
Scattering, backward 22
Scattering, forward 22
Scattering, umklapp 22 73 83
Schwinger bosons representation 138
Schwinger mechanism 243
Schwinger term 79 270 309
screening 329
Self-linking number 201
Semi-classical approximation 326
Semions 203
Sine-Gordon 84
Sine-Gordon, coupling constant 84
Sine-Gordon, lagrangian 84
Sine-Gordon, potential 85
Sink 282
Slater determinant 284
Slave boson representation 137
Small gauge transformation 160 221 268
Smooth deformation 289
Solid-on-Solid Model (SOS) 164
Soliton 107 208
Soliton, operator 65
Soliton, worldline 120
Source 282
Spin coherent state 93
Spin correlation length 47
Spin current 177
Spin liquid 185
Spin liquid, chiral 196
Spin liquid, phases 185
Spin one-half XY model 230
Spin operator 137
Spin operator, boson representation 137
Spin operator, fermion representation 137
spin quantum number 197
Spin quantum number, confinement 197
Spin-density-wave 23 29 39 41 43
Spin-statistics theorem 207
Spin-wave stiffness 47
Spin-wave theory 143
Spinless fermions 221
Spinon 138 146 193
Spinon propagation amplitude 198
Spinon propagation amplitude, for two spinons 202
Spinon propagation amplitude, path integral representation 198
Spinon propagation amplitude, quantum corrections 200
Spinon propagator 198
Spinon propagator, in imaginary time 198
Spinon propagator, proper-time representation 198
Spinon, charge 196
Spinon, confinement 150
Spinon, doubling 183 186 194
Spinon, gap 201
Spinon, liberation 197
| Spinon, mass renormalization 200
Spinon, statistics 198
Spiral state 131
Spontaneous symmetry breaking 282
Staggered amplitude fluctuations 182
Staggered charge density 156
Staggered electric fields 156
Staggered gauge field 156
Staggered magnetization 20 41 103
Staggered vector potentials 156
State 26
State, Baskaran — Zou — Anderson 146
State, chiral spin 131
State, chiral spin liquid 196
State, coherent 36
State, column 152
State, disordered spin 129 131
State, ferromagnetic 26 28 56
State, flux 145
State, Kalmeyer — Laughlin 131 205
State, paramagnetic 28
State, Peierls 146 152 162
State, Quantum Hall 240
State, Resonating Valence Bond 131 133
State, spin coherent 93
State, spiral 131
State, valence bond 131 146
State, zero-temperature quantum paramagnet 125 130
Statistical angle 203 213 218 230
Statistical gauge field 228
Statistical gauge field, equal-time commutation relations 213
Statistical vector potential 212 330
Statistics of the quasiholes 311
Stoke’s Theorem 279
Stoner criterion 28
Strongly correlated electron system 296
Strongly correlated electron system, Fractional Quantum Hall Effect (FQHE) 296
Strongly correlated electron system, spin one-half Heisenberg Model 185
SU(2) symmetry 7
SU(2) symmetry, Hubbard Model 7
SU(N) Heisenberg antiferromagnet 142
SU(N) symmetry 142
SU(N) symmetry, Heisenberg antiferromagnet 142
Sublattice structure 287
Sum rules 292
Superconductivity 193
Superconductivity, anyons 193
Superconductor 225
Superconductor, Time-Reversal invariant 247
Superconductor, Time-Reversal noninvariant 247
Superfluid state 240
Susceptibilities 20
Susceptibilities, magnetic 20
Susceptibilities, static 20
T-J model 13
Tadpole term 270
Theorem 32
Theorem, Elitzur’s 150 171 271
Theorem, Goldstone 32
Theorem, Marshall 63
Theorem, Mermin — Wagner 86
Theorem, Nielsen — Ninomiya 262
Theorem, spin-statistics 207
Theorem, Stoke’s 279
Thermodynamic limit 217
Thirring model 73
Tight-binding 6 267 272
Time-dependent Schroedinger equation 274
Time-reversal invariance 171 179 193
Time-reversal invariance, spontaneously broken 179
Topological charge 120
Topological classes 118
Topological current 79 120
Topological field theories 193
Topological Hopf invariant 122
Topological invariance 239 273—274 278
Topological invariant 200 287 291
Topological mass 194
Topological obstruction 203
Topological soliton 208
Topological structure 279
Topologically inequivalent knots 202
Torus of boundary conditions 281
Transformation 64 74
Transformation, bosonization 74
Transformation, chiral 83
Transformation, Jordan — Wigner 64 67 208
Transformation, Jordan — Wigner for two-dim. systems 212
Transformation, renormalization group 110
Transition 86
Transition function 280
Transition, Kosterlitz — Thouless 86
Transversality condition 267
Transversality condition, of polarization tensor 267
Two-dimensional electron gas 263
Two-dimensional electron gas in high magnetic field 263
Two-dimensional Ising model 209
Two-dimensional Jordan — Wigner Transformation 220
Two-dimensional quantum Heisenberg, antiferromagnet 221
Two-dimensional quantum magnets 212
Two-spinon propagation amplitude 202
U(l) symmetry 8
U(l) symmetry, Hubbard Model 8
Umklapp processes 22 73 83
Umklapp processes, Hubbard Model 22
Unstaggered amplitude fluctuations 182
Vacuum persistence amplitude 33
Valence bond crystal 145 153
Valence bond state 131
Valence bond state, chiral/non-chiral 146
Valence bond state, energy 151
Valence bond state, fermion representation 137
Valence bond state, fluctuations 152
Valence bond state, Mean-Field Hamiltonian 151
Valence bond state, overlap 134
Vandermonde determinant 284
Vector potential 272
Vector potential, statistical 212
Vortices 248
Wannier states 5 258
Ward identity 48 51 270
Wave function 284
Wave function renormalization 18
Wave function, zeros 284
Weakly interacting system 18
Wess — Zumino term 97 130
Wess — Zumino term, staggered 103
Wess — Zumino term, with frustration 130
Why? 264
Wigner crystal 297 325 329
Wigner crystal, melting 297
Wilson loop 140 173 199 228
Wilson loop, statistical gauge fields 228
Winding number 92 105 162 262 280 289
WKB approximation 328
Worldline 120
Worldline, braiding 120
Worldline, linking number 120
Writhing number 201
Wu — Yang construction 279
XY model 67
XY model, spin one-half 67 69
Young tableau 142
Zeeman coupling 8
Zeeman coupling, Hubbard Model 8
Zero energy eigenstates 261
Zero energy eigenstates, multiplicity 261
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