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



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

јвтор: Polchinski J.

јннотаци€:

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: en

–убрика: ‘изика/ вантова€ теори€ пол€/“еори€ струн/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1998

 оличество страниц: 402

ƒобавлена в каталог: 25.09.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$O(k,k,\mathbf{R})$      252Ч253
$O(k,k,\mathbf{Z})$      253
$SU(2)\times SU(2)$ radius      242Ч248 261Ч263
$SU(2)\times SU(2)$ radius on D-brane      264Ч265 269Ч272 279
$SU(3)\times SU(2)\times U(1)$ model      1 see
$\beta\gamma$ CFT      52 75
A-cycle and B-cycle      147Ч148 292 296 304
Abelian differential      293
Action (D-brane)      270Ч273
Action (D-brane), Born Ч Infeld form      271 273
Action (D-brane), linearized      275Ч276
Action (general), Euclidean      335
Action (general), fermionic oscillator      343
Action (general), harmonic oscillator      334 339Ч341
Action (general), in path integral      77 331 343
Action (point particle)      9Ч11
Action (point particle), Euclidean      82Ч83
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      232Ч235 249 265
Action (spacetime), higher-derivative terms      188Ч189 195
Action (spacetime), Hilbert (gravitational)      83 114 194
Action (spacetime), inheritance principle      258
Action (spacetime), local symmetries      196
Action (spacetime), massless closed string      114Ч115
Action (spacetime), massless closed string, quadratic      275Ч276
Action (spacetime), open string      188Ч189 196Ч197 276
Action (spacetime), string field      311Ч314 327Ч328
Action (spacetime), tadpole terms      197Ч198 225 309
Action (world-sheet), $\beta\gamma$      52
Action (world-sheet), bc      50
Action (world-sheet), Brink Ч Di Vecchia Ч Howe Ч Deser Ч Zumino      12
Action (world-sheet), Euclidean      82Ч83
Action (world-sheet), Euler term $(\chi)$      15Ч16 30 83Ч84 179 203
Action (world-sheet), Faddeev Ч Popov ghost      89 157Ч8
Action (world-sheet), gauge-fixing      126Ч127 131
Action (world-sheet), Hilbert (gravitational)      15Ч16
Action (world-sheet), linear dilaton      49
Action (world-sheet), Liouville      324Ч325
Action (world-sheet), massless scalar      32 34 346
Action (world-sheet), Nambu Ч Goto      10Ч13 15 28 30
Action (world-sheet), Nambu Ч Goto and D-brane action      270
Action (world-sheet), noncritical string      325Ч326
Action (world-sheet), nonlinear sigma model      108Ч110 112
Action (world-sheet), nonlinear sigma model, T-duality      280Ч281
Action (world-sheet), Polyakov      12Ч16 28
Action (world-sheet), Polyakov and noncritical string      325
Action (world-sheet), Polyakov, Euclidean      82Ч83
Action (world-sheet), Polyakov, flat world-sheet      32
Action (world-sheet), wrapped torus      237
Action (world-sheet), wrapped torus, antisymmetric tensor background      249Ч250
Affine Lie algebra      243
Annulus      see "Cylinder"
Anomaly, BRST      132Ч133 143
Anomaly, BRST, from string loops      308Ч309
Anomaly, conformal      same as "Weyl"
Anomaly, current conservation      119 158Ч159
Anomaly, ghost number      158Ч159 177
Anomaly, gravitational (diff)      95 349
Anomaly, Lorentz      23Ч24 94
Anomaly, trace      same as "Weyl"
Anomaly, Weyl      90Ч97 119 349
Anomaly, Weyl from string loops      308Ч309
Anomaly, Weyl in nonlinear sigma model      111Ч112
Anomaly, Weyl in vertex operators      102Ч107
Anomaly, Weyl, integrated      93Ч94
Anticommuting c-numbers      341
Antiperiodic boundary conditions in traces      212 336 344Ч346
Antiperiodic boundary conditions in twisted states      257Ч259
Antisymmetric tensor field in BRST quantization      137
Antisymmetric tensor field in light-cone quantization      27Ч30
Antisymmetric tensor field in OCQ      125
Antisymmetric tensor field, as axion      29
Antisymmetric tensor field, background      108Ч115 120
Antisymmetric tensor field, background, constant      249Ч251 254Ч255
Antisymmetric tensor field, coupling to D-brane      270Ч272 282
Antisymmetric tensor field, coupling to winding strings      241Ч242
Antisymmetric tensor field, dimensional reduction      234Ч235 241
Antisymmetric tensor field, field equation      111Ч112
Antisymmetric tensor field, gauge invariance      27 109 196
Antisymmetric tensor field, spacetime action      114
Antisymmetric tensor field, vertex operator      104Ч107
Axion      1 6 29
Background charge      170 204 208
Background fields      108Ч118
Background fields, linearized, and vertex operators      108Ч111
Batalin Ч Vilkovisky (BV) formalism      128
bc CFT      50Ч51 75Ч76 89
bc CFT, expectation values      176Ч178 212Ч213
bc CFT, mode expansion      61Ч63
bc CFT, state-operator mapping      65Ч66
Beltrami differential      162
Beltrami's equation      162
Berezin integration      341
Berezin integration, Jacobian      345
Beta function (Euler)      183
Beta function (field theory)      91 111Ч112 349
Beta function (field theory), string loop corrections      308Ч309
Beta function (field theory), world-sheet corrections      112 195
Black holes      6Ч7 320
Boltzmann weight      325
Borel summation      316 352
Born Ч Infeld action      271 273
Bosonic string theory, artifacts of      23 219 223Ч224 246 275 306
Bosonic string theory, reason for studying      8
Bosonization      303
Boundary state      226 230
BRST invariance of string amplitudes      160Ч161 283 285 287Ч290 351
BRST invariance of vertex operators      164 165
BRST quantization      126ff 350
BRST quantization and string field theory      311Ч315
BRST quantization, nilpotence      128 130Ч132 138 143
BRST quantization, point particle      129Ч131
BRST quantization, string      131Ч143
BRST quantization, string, anomaly      132 143 308Ч309
BRST quantization, string, charge      132
BRST quantization, string, current      131
BRST quantization, string, equivalence to light-cone      137Ч141
BRST quantization, string, equivalence to OCQ      141Ч143
BRST quantization, string, no-ghost theorem      137Ч141
BRST quantization, string, transformation      131
Calabi Ч Yau compactification      352
Campbell Ч Baker Ч 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 75Ч76
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      92Ч96
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 Ч Paton factor      186Ч187
Chan Ч Paton states      30 184Ч192
Chan Ч Paton states and D-branes      268Ч270
Chan Ч Paton states in cylinder amplitude      223
Chan Ч Paton states in Moebius strip      228
Chan Ч Paton states, non-Abelian gauge interactions      188Ч189
Chan Ч Paton states, unoriented string      189Ч192
Chern Ч Simons term      234Ч235
Chiral gauge symmetry      6
Closed state (BRST)      128
Closed string      14
Closed string, BRST quantization      136Ч137
Closed string, light-cone quantization      25Ч29
Closed string, OCQ      124Ч125
Closed string, one-loop amplitudes      216Ч222 226Ч228
Closed string, poles in cylinder amplitude      225Ч226 230 274Ч276
Closed string, tree-level amplitudes      192Ч198
Closed string, tree-level amplitudes, relation to open      195
Closed string, vertex operators      63Ч68 101Ч107
Cocycle      239
Coefficient functions (OPE)      37Ч38
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      40Ч41
Cohomology (BRST)      128Ч129 134Ч144 350
Cohomology (BRST) and amplitudes      283 285 289Ч290
Coleman Ч Weinberg formula      221 229Ч230 350
Collective coordinates (D-brane)      269 281Ч282
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), $[L_{m},L_{n}]$      56Ч57 75Ч76
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 26Ч27 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), $\{Q_{B},Q_{B}\}$      132Ч133 143
Commutators and anticommutators, canonical      17 20 26 130
Commutators and anticommutators, Jacobi identity      128 133 143
Commutators and anticommutators, relation to OPE      54Ч55
Commutators and anticommutators, wrong-sign      27Ч28 72 121
Compact CFT      117 137
Compactification      2 6 115Ч118 see "Orientifold" "Toroidal"
Compactification, abstract CFT      117Ч118 137
Compactification, scale      110 112Ч113 116 244Ч245
Complex coordinates      33Ч34 153
Complex coordinates, divergence theorem      33Ч34
Complex manifold      153
Conformal bootstrap      304
Conformal field theory (CFT)      43Ч76 349 351 see " "Free "Linear
Conformal field theory (CFT), and compactification      115Ч118
Conformal field theory (CFT), c=1      261Ч263 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      199Ч201
Conformal field theory (CFT), expectation values, Moebius invariance      198Ч199 205
Conformal field theory (CFT), expectation values, positive genus      169Ч178 201Ч202
Conformal field theory (CFT), expectation values, zero genus      208Ч216
Conformal field theory (CFT), free      32Ч36 49Ч52
Conformal field theory (CFT), matter      122 131
Conformal field theory (CFT), mode expansions      58Ч63
Conformal field theory (CFT), on Riemann surface      154
Conformal field theory (CFT), periodic scalar      235Ч240 242Ч244 247Ч248
Conformal field theory (CFT), sewing and cutting      300Ч305
Conformal field theory (CFT), state-operator isomorphism      63Ч68
Conformal field theory (CFT), unitary      71Ч73 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      43Ч45
Conformal invariance and OPE      45Ч47
Conformal invariance, relation to $diff\times Weyl$ invariance      85Ч86
Conformal Killing equation      151
Conformal Killing group (CKG) or vector (CKV)      149Ч152 155 157 161
Conformal Killing group (CKG) or vector (CKV), specific Riemann surfaces, positive genus      167Ч169 176 178 192 197
Conformal Killing group (CKG) or vector (CKV), specific Riemann surfaces, zero genus      206Ч208 212 216Ч217
Conformal transformation      44Ч45 75
Conformal transformation and Virasoro algebra      52Ч58
Conformal transformation of energy-momentum tensor      47Ч49
Conformal transformation of ghost-number current      51
Conformal transformation, $d\geq 3$      75
Conjugacy classes      260
Constraints (in quantization)      28 130 133 143Ч144 350
Contraction      39Ч40 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      21Ч24 27
Critical dimension from modular invariance      230
Critical dimension from OCQ      124 143
Critical dimension from Veneziano amplitude      204
Critical dimension from Weyl anomaly      94Ч95
Critical dimension, effect of backgrounds      113 120
Critical point      44
Cross-cap      101Ч102 207Ч208 227Ч228
Cross-cap, state      230
Cross-ratio      199
Current algebra      243Ч244
Curved spacetime      108Ч118
Cylinder (annulus)      78 81
Cylinder (annulus), long      see "Handle" "Degenerating"
Cylinder (annulus), Riemann surface      207
Cylinder (annulus), semi-infinite      63Ч64
Cylinder (annulus), string amplitude      222Ч226 229Ч230
Cylinder (annulus), string amplitude, calculation of D-brane tension      274Ч276
Cylinder (annulus), string amplitude, closed string poles      225Ч226 230
Cylinder (annulus), string amplitude, divergence      224Ч225 229
Cylinder (annulus), string amplitude, unoriented      226
D-brane      7 31 104 268Ч282 317 351
D-brane, action      270Ч273
D-brane, gauge symmetry      268Ч273
D-brane, half-D-brane      280
D-brane, tension      273Ч277
Dedekind eta function      210 216
Del Guidice Ч Di Vecchia Ч Fubini (DDF) operators      143 240
Density of states      213 321
Determinant functional      182 338Ч341 344Ч345 see
Determinant in Born Ч Infeld action      271
Determinant of Laplacian      170
Determinant variation      12
Diff (reparameterization) invariance      12Ч13
Diff (reparameterization) invariance of vertex operators      102Ч103
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 85Ч86
Diff (reparameterization) invariance, removes unphysical states      27Ч28 117
Dilaton      6
Dilaton and equivalence principle      115
Dilaton and string coupling      112Ч115
Dilaton in BRST quantization      137
Dilaton in light-cone quantization      27 29Ч30
Dilaton in OCQ      125
Dilaton, background      108Ч115 233Ч234
Dilaton, coupling to D-brane      270Ч277
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