Fulling S. — Aspects of Quantum Field Theory in Curved Spacetime :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Fulling S. — Aspects of Quantum Field Theory in Curved Spacetime

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Aspects of Quantum Field Theory in Curved Spacetime

Автор: Fulling S.

Аннотация:

Designed for self-study or advanced courses in relativity and quantum field theory, this introduction arose from a graduate level course and assumes some knowledge of general relativity and differential geometry.

Язык:

Рубрика: Физика/Квантовая теория поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 320

Добавлена в каталог: 02.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$C^{\propto}$ , $C_{0}^{\propto}$       21—23
$\mathcal{I}$       see “null infinity”
Abel summation      110
Abramowitz & Stegun (1968)      16
Absolute derivative      173—175 179 196
action      1 68 116—120 126
Acyclic graph      183
Adiabatic construction of states      153—158 208
Adler & Lieberman (1978)      204
Adler et al. (1977)      204
Aharonov — Bohm effect      159
Airy function      42
Allen et al. (1988)      185
Allendoerfer (1940)      214
Ambjorn & Wolfram (1983)      221
Anderson & Parker (1987)      213
Angular velocity      269
Anisotropic expansion      see “Bianchi Type I space-time”
Annihilation operator      see “Creation/annihilation operators”
Anti-de Sitter space      122—123 176
Anticommutator      80 125—126 148—149 279
Antiparticle(s)      230 235—238 247—248 256 267—268 274
Approximate eigenvalue      28
Arbuzov & Rochev (1972)      252
Arc length      175—183 201 208
Ashtekar & Magnon (1975a)      128 226
Ashtekar & Magnon (1975b)      128
Asymptotics for ODEs      140 151—156
Asymptotics for PDEs      158
Asymptotics of heat kernel      193—202
Asymptotics of quantum gravity      218
Asymptotics, spectral      106 108 113
Atiyah, M.      202
Atiyah, M. et al. (1973)      108
Atom(s)      28 109 258
Avis et al. (1978)      122
Axioms      53 126
Axioms, Wald      185—188 213
Axioms, Wightman      91 127
Bag model      114
Balian & Bloch (1970, 1972, 1974)      108
Banks (1985)      218
Barth & Christensen (1983)      195
Beals (1967)      32
Bekenstein (1973)      258
Bekenstein (1973) & Meisels (1977)      148
Bell & Leinass (1983)      131
Bender & Hays (1976)      114
Berezansky (1968)      32
Bergmann, P.      126
Bernoulli numbers      100
Bessel function      55 85 90 98 208
Bianchi identity      171
Bianchi Type I space-time      135 137 150—151
Bilodeau (1977)      221
Birrell (1978)      153
Birrell (1978) & Davies (1982)      128 185 212 214
Bisognano & Wichmann (1975)      131
Bjorken & Drell (1964)      223
Bjorken & Drell (1965)      85 149 223
Black hole      36 123 131 148 219 248 258—285
Bloch (coauthor)      287 288
Blum (1973)      226
Bogndr (1974)      229
Bogolubov & Shirkov (1959)      85 149
Bogolubov et al. (1975)      82 87 90 91 148
Bogolubov transformation      139—153 157 256 263 276—279
Bokobza-Haggiag (1969)      195
Bonazzola & Pacini (1966)      226
Bonic (1969)      200
Borel construction      205
Bosons      see “Statistics”
Bott (coauthor)      287
Boulware (1975a)      131 285
Boulware (1975b)      131
Boulware (1979)      194
Bound state(s)      28 35 237—239 273
Boundary condition(s)      23—27 31—33 40 49—51 103 108 111—114 122 124 200—203 205 228 232 260
Boundary condition(s), regular      32 34 39 46
Boyer, R. & Lindquist (1967)      259
Boyer, T. (1970)      109 111
Brill et al. (1972)      259
Brown & Ottewill (1986)      185 205 212
Brown (1978)      216
Brown (1984)      185 205 213
Brownell (1955)      113
Bunch & Davies (1978)      212
Bunch (coauthor)      290
Bunch et al. (1978)      153 156 208 212 213
Bunch et al. (1980)      118
c-number      81
Callan et al. (1970)      94
Campbell (1972)      155
Candelas & Deutsch (1977, 1978)      131
Candelas & Howard (1984)      218
Candelas & Raine (1976)      285
Candelas (1980)      218
Candelas (1982)      111 200
Candelas (coauthor)      291 295
Canonical formalism      116—120 125—128 229 242 245 “Momentum canonical”)
Canonical formalism, not for fermions      148
Carter (1968)      259
Casimir (1948)      109
Casimir effect      96—115 122 184—185 199 208
Casimir effect in sphere      111—114
Casimir effect, two-dimensional      107
Castagnino & Harari (1984)      185 205 213
Cauchy problem      24 69 78—79 120—125 190—191 210 228 263
Cauchy surface      121—124 127—131 144 150 211
Causal curve      121
Causal domain      98
Causal propagator      76 78—79 81 147 204 206—207
Causality      186
Chain rule      89
Chakraborty (1973)      155
Charge      93 109—110 228 230—231 238—239 241—243 245—247 250 256—257 260 268 279 281—283
Charge conjugation      232 251 267
Charge, unit      162
Charge-current density      93 157 186 218 224 239 279 281—282
Charged field      228 267
Charged field as section      167
Chern (1944, 1945, 1962)      214
Chernoff (1973)      132 226
Choquet — Bruhat (1968)      50 98 121 124
Choquet — Bruhat (1968) et al. (1977)      130
Christensen & Fulling (1977)      131
Christensen & Parker (1989)      180
Christensen (1976)      174 194 207 208
Christensen (1978)      194 207
Christensen (coauthor)      288 289 290
Christensen series      207—208 211—212 215
Christoffel symbols      117 162 165—166 168 188 “Covariant
Chrzanowski & Misner (1974)      274
Chrzanowski (coauthor)      259
Clark (1967)      108
Classical mechanics      1 3 9 17—18 33
Classical solutions as eigenfunctions      30
Closed causal curve      122
Closed classical paths      108
Coincidence limit      178 180
Coleman & Weinberg (1973)      215
Coleman (coauthor)      289
Commutation relations      6 10 15 67—68 119—120 122—127 137 145 148 242 245
Commutation relations of Newton — Wigner field      72—73
Commutation relations, covariant      125
Commutator      4 60 77—80 85 91 102 124—125 149 170—171 186
Compact manifold      131 147
Completeness, geodesic      122 130—131
Completeness, geodesic, in vector space      30 32 35 56 228—229 231 273
Complex conjugate      3 65

Complex frequency      226 228 231 233 235—236 239—243 246—247 250—255 273
Complex structures      128 192
Computers      180 182
Condensed-matter physics      218
Conductors      see “Casimir effect”
Configuration space      1
Conformal coupling      118 133 137 198 266
Conformal invariance      118 133 135 137 198 213
Conformally flat space      134 216
Conformally related metrics      122—123 130 133
Conjugate momentum      see “Momentum canonical”
Connected graph      183
Connection (form)      23 27 47 161 165 174 191—192
Connection (form) on dual space      166—167
Connection (form) on tensors      see “Tensors differentiation
Connection (form), Levi-Civita      see “Christoffel symbols”
Connection (form), metric-compatible      172—173
Conservation law      93—94 185—188 212—213 216 228 230 238 246 259 268
Consistency axiom      187
Constraints      126
Constructive field theory      219
Continuous spectrum      5—6 11 27—33 41 46 52 62 98 228 230—231 243 245 247 255—256
Continuous spectrum, absolutely      32
Contractions      183
Coordinate basis      163 170
Corns (coauthor)      297
Cosmological constant      214—215
Coulomb potential      189
Counterterms      118—119
Coupling constant      118 185 188 214—215 243
Covariance      161 166 215
Covariant derivative      117 159—167 173 188 194—195 “Connection” “Gauge “Synge “Taylor’s covariant”)
Covariant derivative and parallel transport      174—175
Creation/annihilation operators      8—9 13—14 59—61 64—66 70—71 82 128 136—137 140 186—187 229—231 247 261 267 278 280 283
Critchley (coauthor)      295
Current      see “Charge-current density” “Flux”
Curvature      117 166—173 193—195
Curvature, constant      135—136
Curvature, principal      112
Curvature, scalar      117 132—133 198 266
Cyclic identity      171
d $\Gamma$       63—64
Davies, B. (1972)      111
Davies, P. (1974)      282
Davies, P. (1974) (coauthor)      285 288 289
Davies, P. (1974) et al. (1977)      208 212
Davies, P. (1974), (1975)      285
Davies, P. (1974), (1977)      185
De Sitter space      131
De Witt-Morette (coauthor)      290
Dean & Fulling (1982)      47
Delta function      28—29 40 45—46 62 87—88 90 99 120 125 190 206 230 272 275
Density on hypersurface      120 (see also “Charge-current density” “Energy “Measure”)
Destruction of particles      148
Detector, model      92 283
Determinant of fundamental form      113
Determinant of fundamental form, Van Vleck-Morette      199—200
Detweiler & Ipser (1973)      259 269
Deutsch & Candelas (1979)      111 200
Deutsch & Najmi (1983)      128 138
Deutsch (coauthor)      289
DeWitt, B.      147
DeWitt, B. & Brehme (1960)      199 204
DeWitt, B. (1965)      125 173 174 176 180 188 194 207
DeWitt, B. (1975)      36 104 128 207 214 224 258
DeWitt, B. (1984)      125
Diagonal set or value      104 178 210 211
Dieloctrirs      110
Dilations      243
Dillard-Bleick (coauthor)      290
DIMENSION      197—198 205
Dimensional analysis      155 193 232—233
Dimensional transmutation      215
Dimensionless parameters      18
Dimock, J.      219
Dimock, J. & Kay (1986, 1987)      131
Dimock, J. (1979)      146
Dimock, J. (1980)      50 79 91 124 127 138 139 219
Dimock, J. (1982)      127 219
Dirac distribution      see “Delta function”
Dirac equation      48 149 161 223
Dirac field      221 237
Dirac notation      3—4
Direct integral      29
Direct sum      57—58 127
Directional derivative      170
Dirichlet condition      25 32 97 103 106—107 109 201 232
DiSessa (1974)      285
Disjoint union      57—58
Distributions      31 50 56—57 62 64—67 74 82 85—90 95—96 99—100 144 146—147 185
Distributions, integration of      83—84
Divergence of vector field      47 94
Domain      23 60
Dowker (1978)      131
Dowker (1978) (coauthor)      295
Drager (1978)      180 195
Drell (coauthor)      223 288
Dual space, connection on      166—167 169
Duff, M.      218
Duff, M. (1981)      214 219
Duistermaat & Guillemin (1975)      108 202
Dunford & Schwartz (1963)      38
d’Alembertian      117
Eguchi et al. (1980)      200
Eidel’man (1969)      188 191
Eigenfunctions      11—13 16 20 22—23 30—47 51 70 136 211 213 225
Eigenvector(s)      11 22 25 28 31 —34. 228
Einstein equation      118 166 185 214 218
Einstein tensor      214
Einstein, A.      148
Electromagnetism      48 92—93 106 109—114 159—162 166 169 174 186 189 219 221 223—257 260—261 265—268
Electron      111 148 186
Elliptic equation or operator      10 20—47 49 132—133 188—189 200—206
Elliptic regularity      22 31 206
Ellis (coauthor)      259 294
Energy      2 12 15 28 48 54 93—96 108—109 114 187 228 230—231 241—242 245—247 255—259 268 279—283
Energy density      39 104—108 141 152 156—157 209 279—284
Energy space      62
Energy, negative      16 48 224 231 238—239 241 247 250 252 256 258 284
Energy-momentum tensor      see “Stress tensor”
Epstein (1975)      216
Equation of motion      1—2 6 93
Ergosphere      258—262
Euler — Lagrange equation      1 68 117—118
Exclusion principle      148
exercises      19 23 26 40 42 55 57 60 68 84 87 91 98 107 117 119 120 125 132 133 138 139 141 146 155 165 167 169 172 175 181 183 187 191
Exercises, solution      47
Expanding Universe      134 148
expectation value      3 7 92 96 103 127 149 185—188 207—208 211—212 241 280—282
Extensions of operator      24—27
External field or potential      21 188 191 197 210—211 284
Fackerell (coauthor)      259
Fedoriuk (coauthor)      296
Fermi coordinates      285
fermions      221 (see also “Statistics”)
Feshbach & Villars (1958)      226
Feynman diagrams      81
Feynman function      see “Causal propagator”
Fiber      161 163 182 191—193 197 199
Field      9 15 19—20 48—49 55 73 92 158 163—164 217—219 224 283
Field algebra      6 19 69—70 91 124—127 150 219 241 247
Field operator      64—70 80 127 136 144 246 267 280
Fierz (1960)      107
Figari et al. (1975)      131
figures      14 16 17 36 37 38 44 75 76 77 79 89 97 102 108 109 112 121 122 123 124 131 138 163 177 186 201 204 209
Figures, appendix      232 237 249 251 254 262 264
Finite propagation speed      79 206
Finite-size effect      103—104 106—108
First-order formalism      226 (see also “Stationary space-time”)
Floyd (coauthor)      258

1 2 3 4

О проекте