Ex Libris                        Wanted                           
blank

       
blank

blank
blank
blank
blank
Birrell N.D., Davies P.C.W. Quantum Fields in Curved Space
Birrell N.D., Davies P.C.W.  Quantum Fields in Curved Space







?
Ctrl+Enter


: Quantum Fields in Curved Space

: Birrell N.D., Davies P.C.W.

:

This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this rapid development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.


: en

: /

:

ed2k: ed2k stats

: 1 edition

: 1982

: 340

: 10.04.2010

: | | ID
blank
Accelerated mirror      102109 282
Accelerated observer (detecior)      40 41 48 5355 89 90 109 110 116127 228 279
Aciion      3 5 11 17 19 2931 44 85 154155 204205 288290 313
Aciion, effective      155ff. 184 194 205 214 222223 238239 298 307ff.
Adiabacic expansion      7378 87 159 191 207208
Adiabalic invariant      66 69
Adiabalic states      8 37 6273 127 128
Adiabalic switching      51 52 57 104105 293
Adiabalic vacuum      6273 127136 143144 206
Adiabatic order      67ff. 127ff. 191192 195 199201 205206 221222 231236 243
Adiabatic regularizaiion      see under Regularization
Analytic continuation      129 151 159ff. 193194 248
Aniiperiodic boundary conditions      91 321 see
Anisotropic cosmology      118 142149 239 244245
Annihilation and creation operacors      1518 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 244248 270 279 284 287 291
Background field method      3
Bi-scalar      195 205 236
Bi-spinor      87
Bi-vector      196
Bianchi I spacetimes      142149
big bang      6 125 142
Black hole      6 42 43 90 105 243244 249291
Black hole, charged      262264 276
Black hole, entropy of      274275 279 290
Black hole, eternal      42 43 275283 317 319
Black hole, evaporation of      89 228
Black hole, explosion of      271273
Black hole, gamma rays from      273
Black hole, luminosity of      260 262 270
Black hole, quantum      249291
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 274275
Bogolubov coefficients      4648 61 69 108109 146 247 251 259 295296 301 315327
Bogolubov transformation      46 58 72 107109 115126 126 135 228 249250 257 277278 285 294 301 316
Boltzmann's constant      26
Bose statistics      13
Bosons      1 260 262 270
Boundaries      89 96109 222224 296
Casimir effect      89 100102 229230 321
Causality      216
Collapse of a star      4142 105 249 250264 265267 280281
Commutation relations      12 45 82 278
Commutators      12 20 2729
Conformal (Penrose) diagrams      3643 U2 138140 256 272 276 286287
Conformal anomalies      8 87 151 173189 189 193 201ff. 233 285 309 312 314
Conformal coupling (of scalar field)      44
Conformal invariance      44 62 7981 123ff. 146 174 173189 203 312323 319
Conformal Killing vector      43 79 124 138 188 233 237
Conformal time      59 80 120 126ff. 152 242
Conformal transformations      3644 7980 109 113 117 138142 173ff.
Conformal vacuum      37 7981 124ff. 227ff.
Conformally flat spacetime      43 50 59 62 79 81 181184 243
Conformally trivial system      62 79 102 114 146 181 183 190 200 225 234237
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 129138 140141 186187 190ff. 230 279 291 307
Density matrix      279280
Density operator      26
DeWitt Schwinger expansion      7381 152 158ff. 171 191 201 212 218220 231232 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 223224
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 4142 150 154 189 202 204 209 214 224 270 275276
Einstein Universe      49 122ff. 134ff. 185187 192193
electromagnetic field      1920 31 80 85 97102 154 171 179180 222 224 261
Energy      1415 see also under Stress-tensor
Energy conditions      246 274275
Energy, negative      228229 246 269 271 275
Energy, of vacuum      4 15 16 91ff. 152
entropy      90 102 118 228
Entropy, in cosmology      244245
Entropy, of black hole      274275 279 290
Euclideanization of spacetime      10 25 3435 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      89117
Fock space representation      1318 4547 55 9192 113124 152 216 294295 300 315326
Friedmann cosmology      7071
Gauge fixing term      19 24 32 8586 172
Gauge transformations      19 3132
Gauss Bonnet theorem      162
General covariancc      45
General relativity      1 5 45 161
Generating functional      29ff. 93 157 288 296ff.
Ghost fields      20 34 8586 171 180
Global hyperbolicity      29 37 44 293
Gravitational      154ff.
Gravitational, scalar field U      29 43 85 88 99 128 292293 304305 307 312
Gravitational, spinor field      17 31 85 88 318
Gravitational, vierbein form      84
Gravitons      26 81 154 215 236 245 261 289290
Gravity      1 2 7 150154
Gravity, quantum      see under Quantum gravity
Green functions      10 2028 7378 9496
Green functions, for interacting fields      296 302331 306 318329
Green functions, thermal      10 2528 54 9495 101 141 276 288 318
Hadamard function      2023 218
Hamiltonian      1416 18 25 299
Hamiltonian, diagonalization of      73
Hawking area theorem      274
Hawking effect      6 8 117 318329 see also The entries under black hole
Heisenberg picture      13 300 315
Heisenberg uncertainty relations      63
Hilberl space      13
Horizon      4043 90 111122 137138 187 249 252257 261ff.
In and out regions      57 73 104ff. 147 172 190 227 237238 241 250 257 269270 315
information      274275 279
instantons      291
Interacting fields      5 6 9 10 27 29 153 163 210 261 275 292322
Interaction picture      296 299 301 303 307
Kerr black hole      261
Kerr Newman black hole      274 288
Killing vectors      42 45 47 113124 123 129 137 139 265 281 288
Killing vectors, conformal      43 79 124 138140 188
Kruskal coordinates      4143 268 276 284 319
Kruskal manifold      4243 275 280281
Lagrangian, effective      158 190 208
Lagrangian, electromagnetic field      19 32 8588
Lagrangian, for particle detector      50
Landau gauge      19 32 34
Lorenlz group representations      8285 179180 202
Lorentz transformations      8184 94 130
LSZ formalism      295 302
Mass (field quanta)      10
Maxwell equations      19
Milne universe      118 124129 130 132 144 230
Minkowski space, conformal diagram of      3840
Minkowski space, quantum field theory in      7 1035 45 49 63 81 89ff. 152153
Mirror (moving)      89 102109 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 108109 315
One-loop approximation      3ff. 154 215 246 289
Pair creation      261 263264 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 102109
Particle creation, in cosmology      17 37 5962 73 81 118 129 244 248 316327
Particle detector      8 36 4859 63ff. 90 104105 123ff. 142 150 257 281282
Particle number      see under Number operator
Particle, adiabatic definition      65ff. 126fl".
Particle, concept in curved space      36 4859 63ff. 73 110 136 150
Partition function      25 289290
path integral      10 20 2835 155 171 288289 296 298 301
Pauli Villars regularization      see under Regularization
Perturbation theory      142149 237243 302ff.
Photon      1 3 20 81 245 273
Planck length      2 3 246
Planck lime      2 244248
Planck mass      272
Planck spectrum      116 128 260
Poincare Invariance      45 49 51 130 132 296 309 315328
Point-splitting regularization      see under Regularization
Pressure      92 246
Quantum electrodynamics      1 2 9 47 153 161 292 307
Quantum gravity      18 215 224 272 275 287
Regularization      8 36 73 89 150
Regularization, adiabatic      151 206ff.
Regularization, cut-off      92 94 152153 194 209
Regularization, dimensional      151 162ff. 177182 190 202f. 304 309 320
Regularization, Pauli Villars      210ff.
Regularization, point-splitting      151 167171 194ff. 217ff. 313
Regularization, zeta-function      165169 176177 180 192
Reissner Nordstrom black hole      254 262263 265 276 286
Renormalization      410 16 29 37 89 96 127128 150224 292 301 304314
Renormalization group      164 309 311 314
Response function (for particle detector)      52 56 133 282
Ricmannian manifold      288289
Rindler coordinates      111 113
Rindler space      109117 124130 138141 186187 233 277
Robertson Walker cosmology      58ff. 118149
Robinson Bertotti spacetime      291
S matrix      47 292301
Scalar field      1012 20ff. 4348 5054 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      4042 250 268272 276277 284 287290
Schwinger variational principle      155
Self-interacting field      128 301314
Singularity, avoidance of      245246
Singularity, coordinate      42 137
Singularity, naked      263 272 291
Singularity, physical      8 4243 139 146 152 244245 252253 256 271273 276 287288 291
Singularity, theorems      246
Spin      10 17 18 8188
Spin 1 field      8388
Spin, higher      8687 129 179180
Spinor field      17 23 28 31 80 8388 93 182 258 318
Spinors      18 23
Sponcaneous symmetry breaking      128 321
Static spacetime      122124 232
Steady-state cosmology      130142 187
Stimulated emission (from black hole)      270
Stress-tensor (stress-energy-momentum tensor)      7 10 14 18 37 49 87il. 127 138 150224 225248 264275 283287 308
Super-radiance      262 270 274
Supergravity      1 9
Surface effects (in quantum field theory)      222224
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 109110 116127
Thermal radiation, from black hole      249 257 275285 292 318329
Thermal radiation, in de Sitter space      133 136 138
Thermal radiation, moving mirror      106109 229
Thermal spectrum      133 144 260 see
Thermodynamics, and black holes      6 274275
Thermodynamics, first law      274
Thermodynamics, second law      288 244 274275 292 318
Thermodynamics, third lav      263
Thermodynamics, zeroth law      274
Thirring model      318329
Tomonaga Schwinger equation      299
Topology (nontrivial)      9 89ff. 110 140141 152 159 207 276 291292 298 319321
Trace (of stress-tensor)      99
Trace anomalies      see under Conformal anomalies
Twisted Fields      9196 194 200 319321
Ultraviolet divergences      see under Divergences
Uncertainty relations      see under Heisenberg
Uouville transformation      135 145
Vacuum slate      13
Vacuum slate, adiabatic definition      6273 124ff.
Vacuum slate, conformal      37 7981 124ff. 138142 143 184187 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 141142
Vacuum slate, in Milne universe      126
Vacuum slate, in Minkowski space i      3ff.
Vacuum slate, in presence of boundary      97 104105
Vacuum slate, Rindler      114126 130 141 186 235
Vierbeins      8384 94
While holes      18 4243 291
Wightman functions      21 52 57 104105 123 132133 136 281
Zeca-function regularization      see under Regularization
Zela-funciion (generalized)      165 190
Zeta-function (Riemann's)      165 193 320
blank
blank
blank
HR
@Mail.ru
       © , 2004-2020
   | Valid HTML 4.01! | Valid CSS!