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| Ïîèñê ïî óêàçàòåëÿì |
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| Birrell N.D., Davies P.C.W. — Quantum Fields in Curved Space |
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| Ïðåäìåòíûé óêàçàòåëü |
Accelerated mirror 102—109 282
Accelerated observer (detecior) 40 41 48 53—55 89 90 109 110 116—127 228 279
Aciion 3 5 11 17 19 29—31 44 85 154—155 204—205 288—290 313
Aciion, effective 155ff. 184 194 205 214 222—223 238—239 298 307ff.
Adiabacic expansion 73—78 87 159 191 207—208
Adiabalic invariant 66 69
Adiabalic states 8 37 62—73 127 128
Adiabalic switching 51 52 57 104—105 293
Adiabalic vacuum 62—73 127—136 143—144 206
Adiabatic order 67ff. 127ff. 191—192 195 199—201 205—206 221—222 231—236 243
Adiabatic regularizaiion see under “Regularization”
Analytic continuation 129 151 159ff. 193—194 248
Aniiperiodic boundary conditions 91 321 see
Anisotropic cosmology 118 142—149 239 244—245
Annihilation and creation operacors 15—18 91
anomalies see under “Conformal anomalies” “Axial
Anomalies, anticominutators 18 20 34
Axial vector anomaly 176
Back scattering 249 251 258 260 266 280
Back-reaction (due to quantum effects) 118 142 150 215 244—248 270 279 284 287 291
Background field method 3
Bi-scalar 195 205 236
Bi-spinor 87
Bi-vector 196
Bianchi I spacetimes 142—149
big bang 6 125 142
Black hole 6 42 43 90 105 243—244 249—291
Black hole, charged 262—264 276
Black hole, entropy of 274—275 279 290
Black hole, eternal 42 43 275—283 317 319
Black hole, evaporation of 89 228
Black hole, explosion of 271—273
Black hole, gamma rays from 273
Black hole, luminosity of 260 262 270
Black hole, quantum 249—291
Black hole, radio bursts from 273
Black hole, rotating 261 276 287
Black hole, specific heat of 270
Black hole, super-radiance 262 270 274
Black hole, temperature of 257 263 270
Black hole, thermodynamics of 6 274—275
Bogolubov coefficients 46—48 61 69 108—109 146 247 251 259 295—296 301 315—327
Bogolubov transformation 46 58 72 107—109 115—126 126 135 228 249—250 257 277—278 285 294 301 316
Boltzmann's constant 26
Bose statistics 13
Bosons 1 260 262 270
Boundaries 89 96—109 222—224 296
Casimir effect 89 100—102 229—230 321
Causality 216
Collapse of a star 41—42 105 249 250—264 265—267 280—281
Commutation relations 12 45 82 278
Commutators 12 20 27—29
Conformal (Penrose) diagrams 36—43 U2 138—140 256 272 276 286—287
Conformal anomalies 8 87 151 173—189 189 193 201ff. 233 285 309 312 314
Conformal coupling (of scalar field) 44
Conformal invariance 44 62 79—81 123ff. 146 174 173—189 203 312—323 319
Conformal Killing vector 43 79 124 138 188 233 237
Conformal time 59 80 120 126ff. 152 242
Conformal transformations 36—44 79—80 109 113 117 138—142 173ff.
Conformal vacuum 37 79—81 124ff. 227ff.
Conformally flat spacetime 43 50 59 62 79 81 181—184 243
Conformally trivial system 62 79 102 114 146 181 183 190 200 225 234—237
Cosmic censorship hypothesis 263 291
Cosmological constant 5 154 214 308
Covariant conservation (of stress-tensor) 184 216 283 285
Cut-off regularization see under “Regularization”
de Siller group 45 130 132 138 191
De Sitter space 118 129—138 140—141 186—187 190ff. 230 279 291 307
Density matrix 279—280
Density operator 26
DeWitt — Schwinger expansion 73—81 152 158ff. 171 191 201 212 218—220 231—232 304
DeWitt — Schwinger representation 37 75ff. 87 157ff. 190 215
Dimensional continuation 16 151 159ff see
Dirac equation 17 18 85
Dirac matrices 17 18 83 85 318
Divergences 4 5 16 153 see
Divergences, infrared 95 174 200
Divergences, surface 98 223—224
Divergences, ultraviolet 91 159 174 177 211
Dixac adjoint 17
Effective action see under “Action”
effective Lagrangian see under “Lagrangian”
Einstein equation 2 3 7 41—42 150 154 189 202 204 209 214 224 270 275—276
Einstein Universe 49 122ff. 134ff. 185—187 192—193
electromagnetic field 19—20 31 80 85 97—102 154 171 179—180 222 224 261
Energy 14—15 see also under “Stress-tensor”
Energy conditions 246 274—275
Energy, negative 228—229 246 269 271 275
Energy, of vacuum 4 15 16 91ff. 152
entropy 90 102 118 228
Entropy, in cosmology 244—245
Entropy, of black hole 274—275 279 290
Euclideanization of spacetime 10 25 34—35 141 288
Euler — Poincare characteristic 141
Event horizon see under “Horizon”
Evolution matrix 296
fermions 1 17 260 285
Feynman gauge 19 24
Feynman propagator 2111
Flat spacetime 89—117
Fock space representation 13—18 45—47 55 91—92 113—124 152 216 294—295 300 315—326
Friedmann cosmology 70—71
Gauge fixing term 19 24 32 85—86 172
Gauge transformations 19 31—32
Gauss — Bonnet theorem 162
General covariancc 45
General relativity 1 5 45 161
Generating functional 29ff. 93 157 288 296ff.
Ghost fields 20 34 85—86 171 180
Global hyperbolicity 29 37 44 293
Gravitational 154ff.
Gravitational, scalar field U 29 43 85 88 99 128 292—293 304—305 307 312
Gravitational, spinor field 17 31 85 88 318
Gravitational, vierbein form 84
Gravitons 2—6 81 154 215 236 245 261 289—290
Gravity 1 2 7 150—154
Gravity, quantum see under “Quantum gravity”
Green functions 10 20—28 73—78 94—96
Green functions, for interacting fields 296 302—331 306 318—329
Green functions, thermal 10 25—28 54 94—95 101 141 276 288 318
Hadamard function 20—23 218
Hamiltonian 14—16 18 25 299
Hamiltonian, diagonalization of 73
Hawking area theorem 274
Hawking effect 6 8 117 318—329 see also “The entries under black hole”
Heisenberg picture 13 300 315
Heisenberg uncertainty relations 63
Hilberl space 13
Horizon 40—43 90 111—122 137—138 187 249 252—257 261ff.
In and out regions 57 73 104ff. 147 172 190 227 237—238 241 250 257 269—270 315
information 274—275 279
instantons 291
Interacting fields 5 6 9 10 27 29 153 163 210 261 275 292—322
| Interaction picture 296 299 301 303 307
Kerr black hole 261
Kerr — Newman black hole 274 288
Killing vectors 42 45 47 113—124 123 129 137 139 265 281 288
Killing vectors, conformal 43 79 124 138—140 188
Kruskal coordinates 41—43 268 276 284 319
Kruskal manifold 42—43 275 280—281
Lagrangian, effective 158 190 208
Lagrangian, electromagnetic field 19 32 85—88
Lagrangian, for particle detector 50
Landau gauge 19 32 34
Lorenlz group representations 82—85 179—180 202
Lorentz transformations 81—84 94 130
LSZ formalism 295 302
Mass (field quanta) 10
Maxwell equations 19
Milne universe 118 124—129 130 132 144 230
Minkowski space, conformal diagram of 38—40
Minkowski space, quantum field theory in 7 10—35 45 49 63 81 89ff. 152—153
Mirror (moving) 89 102—109 257
Momentum 14 15 18
Neutrinos 81 99 261 273
Newton gravitational constant 154 161 308
Normal ordering 4 16 91 152 216
Normalization (of stales) 12 18 44 114 119 121 144 259 307
Number operator 14 15 25 46 49 108—109 315
One-loop approximation 3ff. 154 215 246 289
Pair creation 261 263—264 270 273 280
Particle creation 7 36 50 62H. 241 292 314
Particle creation, by black holes see also “The entries under black hole”
Particle creation, by moving boundaries 89 102—109
Particle creation, in cosmology 17 37 59—62 73 81 118 129 244 248 316—327
Particle detector 8 36 48—59 63ff. 90 104—105 123ff. 142 150 257 281—282
Particle number see under “Number operator”
Particle, adiabatic definition 65ff. 126fl".
Particle, concept in curved space 36 48—59 63ff. 73 110 136 150
Partition function 25 289—290
path integral 10 20 28—35 155 171 288—289 296 298 301
Pauli — Villars regularization see under “Regularization”
Perturbation theory 142—149 237—243 302ff.
Photon 1 3 20 81 245 273
Planck length 2 3 246
Planck lime 2 244—248
Planck mass 272
Planck spectrum 116 128 260
Poincare Invariance 45 49 51 130 132 296 309 315—328
Point-splitting regularization see under “Regularization”
Pressure 92 246
Quantum electrodynamics 1 2 9 47 153 161 292 307
Quantum gravity 1—8 215 224 272 275 287
Regularization 8 36 73 89 150
Regularization, adiabatic 151 206ff.
Regularization, cut-off 92 94 152—153 194 209
Regularization, dimensional 151 162ff. 177—182 190 202£f. 304 309 320
Regularization, Pauli — Villars 210ff.
Regularization, point-splitting 151 167—171 194ff. 217ff. 313
Regularization, zeta-function 165—169 176—177 180 192
Reissner — Nordstrom black hole 254 262—263 265 276 286
Renormalization 4—10 16 29 37 89 96 127—128 150—224 292 301 304—314
Renormalization group 164 309 311 314
Response function (for particle detector) 52 56 133 282
Ricmannian manifold 288—289
Rindler coordinates 111 113
Rindler space 109—117 124—130 138—141 186—187 233 277
Robertson — Walker cosmology 58ff. 118—149
Robinson — Bertotti spacetime 291
S matrix 47 292—301
Scalar field 10—12 20ff. 43—48 50—54 83 94 99 102 113
Scalar field, in curved space 44 79 85
Scalar field, Lagrangian see under “Lagrangian”
Scalar field, wave equation 10 44
Scalar product 11 12 44 58 108
Schwarzscluld spacetime 40—42 250 268—272 276—277 284 287—290
Schwinger variational principle 155
Self-interacting field 128 301—314
Singularity, avoidance of 245—246
Singularity, coordinate 42 137
Singularity, naked 263 272 291
Singularity, physical 8 42—43 139 146 152 244—245 252—253 256 271—273 276 287—288 291
Singularity, theorems 246
Spin 10 17 18 81—88
Spin 1 field 83—88
Spin, higher 86—87 129 179—180
Spinor field 17 23 28 31 80 83—88 93 182 258 318
Spinors 18 23
Sponcaneous symmetry breaking 128 321
Static spacetime 122—124 232
Steady-state cosmology 130—142 187
Stimulated emission (from black hole) 270
Stress-tensor (stress-energy-momentum tensor) 7 10 14 18 37 49 87il. 127 138 150—224 225—248 264—275 283—287 308
Super-radiance 262 270 274
Supergravity 1 9
Surface effects (in quantum field theory) 222—224
Surface gravity 252 255 262 267 274 276
Tensor, metric 10
Tensor, stress see under “Stress-tensor”
Thermal Green functions see under “Green functions”
Thermal radiation, accelerated detector 90 109—110 116—127
Thermal radiation, from black hole 249 257 275—285 292 318—329
Thermal radiation, in de Sitter space 133 136 138
Thermal radiation, moving mirror 106—109 229
Thermal spectrum 133 144 260 see
Thermodynamics, and black holes 6 274—275
Thermodynamics, first law 274
Thermodynamics, second law 288 244 274—275 292 318
Thermodynamics, third lav 263
Thermodynamics, zeroth law 274
Thirring model 318—329
Tomonaga — Schwinger equation 299
Topology (nontrivial) 9 89ff. 110 140—141 152 159 207 276 291—292 298 319—321
Trace (of stress-tensor) 99
Trace anomalies see under “Conformal anomalies”
Twisted Fields 91—96 194 200 319—321
Ultraviolet divergences see under “Divergences”
Uncertainty relations see under “Heisenberg”
Uouville transformation 135 145
Vacuum slate 13
Vacuum slate, adiabatic definition 62—73 124ff.
Vacuum slate, conformal 37 79—81 124ff. 138—142 143 184—187 200 227
Vacuum slate, in and out states 29
Vacuum slate, in curved space 45 48 55 76 87
Vacuum slate, in de Sitter space 131?.
Vacuum slate, in Einstein universe 123 141—142
Vacuum slate, in Milne universe 126
Vacuum slate, in Minkowski space i 3ff.
Vacuum slate, in presence of boundary 97 104—105
Vacuum slate, Rindler 114—126 130 141 186 235
Vierbeins 83—84 94
While holes 18 42—43 291
Wightman functions 21 52 57 104—105 123 132—133 136 281
Zeca-function regularization see under “Regularization”
Zela-funciion (generalized) 165 190
Zeta-function (Riemann's) 165 193 320
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