Polchinski J. — String theory (volume 1). An introduction to the bosonic string :: 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

Polchinski J. — String theory (volume 1). An introduction to the bosonic string

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: String theory (volume 1). An introduction to the bosonic string

Автор: Polchinski J.

Аннотация:

The two volumes that comprise String Theory provide an up-to-date, comprehensive account of string theory. Volume 1 provides a thorough introduction to the bosonic string, based on the Polyakov path integral and conformal field theory. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory, the Polyakov path integral, and the covariant quantization of the string. The book then treats string interactions: the general formalism, and detailed treatments of the tree level and one loop amplitudes. Toroidal compactification and many important aspects of string physics, such as T-duality and D-branes are also covered, as are higher-order amplitudes, including an analysis of their finiteness and unitarity, and various nonperturbative ideas. The volume closes with an appendix giving a short course on path integral methods, followed by annotated references, and a detailed glossary.

Язык:

Рубрика: Физика/Квантовая теория поля/Теория струн/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 402

Добавлена в каталог: 25.09.2005

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

Предметный указатель

$O(k,k,\mathbf{R})$       252—253
$O(k,k,\mathbf{Z})$       253
$SU(2)\times SU(2)$ radius      242—248 261—263
$SU(2)\times SU(2)$ radius on D-brane      264—265 269—272 279
$SU(3)\times SU(2)\times U(1)$ model      1 see
$\beta\gamma$ CFT      52 75
A-cycle and B-cycle      147—148 292 296 304
Abelian differential      293
Action (D-brane)      270—273
Action (D-brane), Born — Infeld form      271 273
Action (D-brane), linearized      275—276
Action (general), Euclidean      335
Action (general), fermionic oscillator      343
Action (general), harmonic oscillator      334 339—341
Action (general), in path integral      77 331 343
Action (point particle)      9—11
Action (point particle), Euclidean      82—83
Action (point particle), gauge-fixed      129
Action (point particle), in curved spacetime      108
Action (point particle), Wilson line background      264
Action (spacetime), c=1 moduli      246
Action (spacetime), closed string tachyon      194
Action (spacetime), dimensional reduction      232—235 249 265
Action (spacetime), higher-derivative terms      188—189 195
Action (spacetime), Hilbert (gravitational)      83 114 194
Action (spacetime), inheritance principle      258
Action (spacetime), local symmetries      196
Action (spacetime), massless closed string      114—115
Action (spacetime), massless closed string, quadratic      275—276
Action (spacetime), open string      188—189 196—197 276
Action (spacetime), string field      311—314 327—328
Action (spacetime), tadpole terms      197—198 225 309
Action (world-sheet), $\beta\gamma$       52
Action (world-sheet), bc      50
Action (world-sheet), Brink — Di Vecchia — Howe — Deser — Zumino      12
Action (world-sheet), Euclidean      82—83
Action (world-sheet), Euler term $(\chi)$       15—16 30 83—84 179 203
Action (world-sheet), Faddeev — Popov ghost      89 157—8
Action (world-sheet), gauge-fixing      126—127 131
Action (world-sheet), Hilbert (gravitational)      15—16
Action (world-sheet), linear dilaton      49
Action (world-sheet), Liouville      324—325
Action (world-sheet), massless scalar      32 34 346
Action (world-sheet), Nambu — Goto      10—13 15 28 30
Action (world-sheet), Nambu — Goto and D-brane action      270
Action (world-sheet), noncritical string      325—326
Action (world-sheet), nonlinear sigma model      108—110 112
Action (world-sheet), nonlinear sigma model, T-duality      280—281
Action (world-sheet), Polyakov      12—16 28
Action (world-sheet), Polyakov and noncritical string      325
Action (world-sheet), Polyakov, Euclidean      82—83
Action (world-sheet), Polyakov, flat world-sheet      32
Action (world-sheet), wrapped torus      237
Action (world-sheet), wrapped torus, antisymmetric tensor background      249—250
Affine Lie algebra      243
Annulus      see "Cylinder"
Anomaly, BRST      132—133 143
Anomaly, BRST, from string loops      308—309
Anomaly, conformal      same as "Weyl"
Anomaly, current conservation      119 158—159
Anomaly, ghost number      158—159 177
Anomaly, gravitational (diff)      95 349
Anomaly, Lorentz      23—24 94
Anomaly, trace      same as "Weyl"
Anomaly, Weyl      90—97 119 349
Anomaly, Weyl from string loops      308—309
Anomaly, Weyl in nonlinear sigma model      111—112
Anomaly, Weyl in vertex operators      102—107
Anomaly, Weyl, integrated      93—94
Anticommuting c-numbers      341
Antiperiodic boundary conditions in traces      212 336 344—346
Antiperiodic boundary conditions in twisted states      257—259
Antisymmetric tensor field in BRST quantization      137
Antisymmetric tensor field in light-cone quantization      27—30
Antisymmetric tensor field in OCQ      125
Antisymmetric tensor field, as axion      29
Antisymmetric tensor field, background      108—115 120
Antisymmetric tensor field, background, constant      249—251 254—255
Antisymmetric tensor field, coupling to D-brane      270—272 282
Antisymmetric tensor field, coupling to winding strings      241—242
Antisymmetric tensor field, dimensional reduction      234—235 241
Antisymmetric tensor field, field equation      111—112
Antisymmetric tensor field, gauge invariance      27 109 196
Antisymmetric tensor field, spacetime action      114
Antisymmetric tensor field, vertex operator      104—107
Axion      1 6 29
Background charge      170 204 208
Background fields      108—118
Background fields, linearized, and vertex operators      108—111
Batalin — Vilkovisky (BV) formalism      128
bc CFT      50—51 75—76 89
bc CFT, expectation values      176—178 212—213
bc CFT, mode expansion      61—63
bc CFT, state-operator mapping      65—66
Beltrami differential      162
Beltrami's equation      162
Berezin integration      341
Berezin integration, Jacobian      345
Beta function (Euler)      183
Beta function (field theory)      91 111—112 349
Beta function (field theory), string loop corrections      308—309
Beta function (field theory), world-sheet corrections      112 195
Black holes      6—7 320
Boltzmann weight      325
Borel summation      316 352
Born — Infeld action      271 273
Bosonic string theory, artifacts of      23 219 223—224 246 275 306
Bosonic string theory, reason for studying      8
Bosonization      303
Boundary state      226 230
BRST invariance of string amplitudes      160—161 283 285 287—290 351
BRST invariance of vertex operators      164 165
BRST quantization      126ff 350
BRST quantization and string field theory      311—315
BRST quantization, nilpotence      128 130—132 138 143
BRST quantization, point particle      129—131
BRST quantization, string      131—143
BRST quantization, string, anomaly      132 143 308—309
BRST quantization, string, charge      132
BRST quantization, string, current      131
BRST quantization, string, equivalence to light-cone      137—141
BRST quantization, string, equivalence to OCQ      141—143
BRST quantization, string, no-ghost theorem      137—141
BRST quantization, string, transformation      131
Calabi — Yau compactification      352
Campbell — Baker — Hausdorff formula      202
Canceled propagator argument      161 196 288 309
Casimir energy      22
Casimir energy in unitary CFT      73
Casimir energy, mnemonic      73
Central charge      48 75—76
Central charge and BRST anomaly      132 143
Central charge and compactification      113 117 137
Central charge and density of states      213
Central charge and gravitational anomaly      95
Central charge and ground state energy      73
Central charge and Weyl anomaly      92—96
Central charge in Virasoro algebra      56
Central charge, $\beta\gamma$       52
Central charge, bc      51
Central charge, free scalar      48
Central charge, linear dilaton      49
Central charge, positivity      72 76
Chan — Paton factor      186—187
Chan — Paton states      30 184—192
Chan — Paton states and D-branes      268—270
Chan — Paton states in cylinder amplitude      223
Chan — Paton states in Moebius strip      228
Chan — Paton states, non-Abelian gauge interactions      188—189
Chan — Paton states, unoriented string      189—192

Chern — Simons term      234—235
Chiral gauge symmetry      6
Closed state (BRST)      128
Closed string      14
Closed string, BRST quantization      136—137
Closed string, light-cone quantization      25—29
Closed string, OCQ      124—125
Closed string, one-loop amplitudes      216—222 226—228
Closed string, poles in cylinder amplitude      225—226 230 274—276
Closed string, tree-level amplitudes      192—198
Closed string, tree-level amplitudes, relation to open      195
Closed string, vertex operators      63—68 101—107
Cocycle      239
Coefficient functions (OPE)      37—38
Coefficient functions (OPE) and conformal bootstrap      304
Coefficient functions (OPE) and conformal invariance      47
Coefficient functions (OPE) and matrix elements      200
Coefficient functions (OPE) and three-point amplitudes      284
Coefficient functions (OPE), determine CFT      303
Coefficient functions (OPE), generalized      303
Coefficient functions (OPE), interchange symmetry      40—41
Cohomology (BRST)      128—129 134—144 350
Cohomology (BRST) and amplitudes      283 285 289—290
Coleman — Weinberg formula      221 229—230 350
Collective coordinates (D-brane)      269 281—282
Commutators and anticommutators (specific), $[G_{I},G_{J}]$ (constraints)      133
Commutators and anticommutators (specific), $[j^{i}_{m},j^{j}_{n}]$       243
Commutators and anticommutators (specific), $[L_{m},L_{n}]$       56—57 75—76
Commutators and anticommutators (specific), $[L_{m},\mathcal{O}_{n}]$       56
Commutators and anticommutators (specific), $[N^{g},b_{m}]$       62
Commutators and anticommutators (specific), $[N^{g},c_{m}]$       62
Commutators and anticommutators (specific), $[p_{\mu}, x^{\nu}]$       17 20 26 58 62 130
Commutators and anticommutators (specific), $[Q,\mathscr{A}]$       55
Commutators and anticommutators (specific), $[Q_{1},Q_{2}]$       55
Commutators and anticommutators (specific), $[X_{L}(z),X_{L}(z')]$       239
Commutators and anticommutators (specific), $[\alpha^{\mu}_{m},\alpha^{\nu}_{n}]$       20 26—27 58 62
Commutators and anticommutators (specific), $[\delta_{\tau_{1}},\delta_{\tau_{2}}]$       129
Commutators and anticommutators (specific), $\{b_{n},c_{n}\}$       61 130 133
Commutators and anticommutators (specific), $\{Q_{B},b_{m}\}$       132
Commutators and anticommutators (specific), $\{Q_{B},L_{m}\}$       143
Commutators and anticommutators (specific), $\{Q_{B},Q_{B}\}$       132—133 143
Commutators and anticommutators, canonical      17 20 26 130
Commutators and anticommutators, Jacobi identity      128 133 143
Commutators and anticommutators, relation to OPE      54—55
Commutators and anticommutators, wrong-sign      27—28 72 121
Compact CFT      117 137
Compactification      2 6 115—118 see "Orientifold" "Toroidal"
Compactification, abstract CFT      117—118 137
Compactification, scale      110 112—113 116 244—245
Complex coordinates      33—34 153
Complex coordinates, divergence theorem      33—34
Complex manifold      153
Conformal bootstrap      304
Conformal field theory (CFT)      43—76 349 351 see " "Free "Linear
Conformal field theory (CFT), and compactification      115—118
Conformal field theory (CFT), c=1      261—263 351
Conformal field theory (CFT), compact      117 137
Conformal field theory (CFT), coupling to curved metric      95 97
Conformal field theory (CFT), expectation values and matrix elements      199—201
Conformal field theory (CFT), expectation values, Moebius invariance      198—199 205
Conformal field theory (CFT), expectation values, positive genus      169—178 201—202
Conformal field theory (CFT), expectation values, zero genus      208—216
Conformal field theory (CFT), free      32—36 49—52
Conformal field theory (CFT), matter      122 131
Conformal field theory (CFT), mode expansions      58—63
Conformal field theory (CFT), on Riemann surface      154
Conformal field theory (CFT), periodic scalar      235—240 242—244 247—248
Conformal field theory (CFT), sewing and cutting      300—305
Conformal field theory (CFT), state-operator isomorphism      63—68
Conformal field theory (CFT), unitary      71—73 117 137
Conformal gauge      85
Conformal gauge and light-cone gauge      83
Conformal gauge, curvature      93
Conformal gauge, ghost action      89
Conformal gauge, OCQ      121
Conformal gauge, sphere      166
Conformal gauge, variations around      152
Conformal invariance      43—45
Conformal invariance and OPE      45—47
Conformal invariance, relation to $diff\times Weyl$ invariance      85—86
Conformal Killing equation      151
Conformal Killing group (CKG) or vector (CKV)      149—152 155 157 161
Conformal Killing group (CKG) or vector (CKV), specific Riemann surfaces, positive genus      167—169 176 178 192 197
Conformal Killing group (CKG) or vector (CKV), specific Riemann surfaces, zero genus      206—208 212 216—217
Conformal transformation      44—45 75
Conformal transformation and Virasoro algebra      52—58
Conformal transformation of energy-momentum tensor      47—49
Conformal transformation of ghost-number current      51
Conformal transformation, $d\geq 3$       75
Conjugacy classes      260
Constraints (in quantization)      28 130 133 143—144 350
Contraction      39—40 50 65 75 172 175
Coordinate transformation, large      see "Modular invariance"
Coordinate transformation, spacetime      28 109 196 285 310
Coordinate transformation, world-sheet      see "Diff invariance"
Cosmological constant, spacetime      222 306 350
Cosmological constant, world-sheet      95 323
Covariant derivative      89 118
Covariant gauge      see "Conformal gauge"
CPT symmetry      23
Critical dimension from BRST anomaly      132 143
Critical dimension from cylinder amplitude      230
Critical dimension from Lorentz anomaly      21—24 27
Critical dimension from modular invariance      230
Critical dimension from OCQ      124 143
Critical dimension from Veneziano amplitude      204
Critical dimension from Weyl anomaly      94—95
Critical dimension, effect of backgrounds      113 120
Critical point      44
Cross-cap      101—102 207—208 227—228
Cross-cap, state      230
Cross-ratio      199
Current algebra      243—244
Curved spacetime      108—118
Cylinder (annulus)      78 81
Cylinder (annulus), long      see "Handle" "Degenerating"
Cylinder (annulus), Riemann surface      207
Cylinder (annulus), semi-infinite      63—64
Cylinder (annulus), string amplitude      222—226 229—230
Cylinder (annulus), string amplitude, calculation of D-brane tension      274—276
Cylinder (annulus), string amplitude, closed string poles      225—226 230
Cylinder (annulus), string amplitude, divergence      224—225 229
Cylinder (annulus), string amplitude, unoriented      226
D-brane      7 31 104 268—282 317 351
D-brane, action      270—273
D-brane, gauge symmetry      268—273
D-brane, half-D-brane      280
D-brane, tension      273—277
Dedekind eta function      210 216
Del Guidice — Di Vecchia — Fubini (DDF) operators      143 240
Density of states      213 321
Determinant functional      182 338—341 344—345 see
Determinant in Born — Infeld action      271
Determinant of Laplacian      170
Determinant variation      12
Diff (reparameterization) invariance      12—13
Diff (reparameterization) invariance of vertex operators      102—103
Diff (reparameterization) invariance with boundary      90
Diff (reparameterization) invariance, anomaly      91 95 349
Diff (reparameterization) invariance, gauge-fixing      85 129 325
Diff (reparameterization) invariance, relation to conformal invariance      44 85—86
Diff (reparameterization) invariance, removes unphysical states      27—28 117
Dilaton      6
Dilaton and equivalence principle      115
Dilaton and string coupling      112—115
Dilaton in BRST quantization      137
Dilaton in light-cone quantization      27 29—30
Dilaton in OCQ      125
Dilaton, background      108—115 233—234
Dilaton, coupling to D-brane      270—277

1 2 3 4

О проекте