Bertlmann R.A. — Anomalies in Quantum Field Theory :: 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

Bertlmann R.A. — Anomalies in Quantum Field Theory

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Anomalies in Quantum Field Theory

Автор: Bertlmann R.A.

Аннотация:

An anomaly is the failure of a classical symmetry to survive the process of quantization and regularization. The study of anomalies has played an important role in quantum field theory in the last 20 years, one which is described clearly and comprehensively in this book, the first textbook on the subject. The author approaches the subject through differential geometry, a method that has received much attention in recent years, and gives detailed derivations and calculations which will be invaluable to both students and researchers in theoretical and mathematical physics.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 566

Добавлена в каталог: 26.11.2005

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

Предметный указатель

$\phi^{4}$ theory      142—149
$\pi^{0}\rightarrow\gamma\gamma$ decay      233—238
't Hooft — Veltman integral formula      207 222
't Hooft — Veltman regularization      207—210 220—223
Action principle      492
Action, active coordinate transformations      470 472—474
Action, adjoint derivative      51—53 294
Adjoint map      94
Adjoint operator      412
Adjoint representation      94 161
Adler — bardeen theorem      205
Aharonov — Bohm effect      306—311
Aharonov — Bohm effect, fibre bundle description      309
Aharonov — Bohm effect, phase shift      308
Aharonov — Bohm effect, quantum mechanics      307
Anomalous divergence      188 214 219 253
Anomaly      176 188 193—195 212—214 296—297 338 353 354 365 366 378 410 426
Anomaly and phase      194—195 440
Anomaly cancellation      245—247
Anomaly for L-currents      190
Anomaly formula      341
Anomaly shift      517
Anomaly, 2-dimensional      214—227 260—261 276 283 286
Anomaly, ABJ      188 197—214
Anomaly, Bardeen      241 243 297 351 436 446
Anomaly, consistent      243 272 401
Anomaly, covariant      243 266 270 271 297 393—394 397—400 405
Anomaly, dispersion relations      216—220
Anomaly, IR behaviour      230—231
Anomaly, non-Abelian      241—244 265—272 297 338 379 382 435—436 445—446
Anomaly, nonlocal extensions      406—407
Anomaly, normalization      369
Anomaly, regularization independence      261—263
Anomaly, singlet      238—241 259 296 379 381 400 411
Anomaly, UV behaviour      231—232
Anti-BRS transformation      175
Antiderivation rule      43 333
Associated bundle      103
Atiyah — Singer index theorem      305 319 410—411 426—427 443 534 541
Atlas      31
Axial current      178
Axial current, non-Abelian      183
Axial gauge      169
Background field      371
Bardeen — Zumino counterterm      515
Bardeen — Zumino polynomial      392—393 396—400 404—405 519 541
Base space      95
beta function      388
Betti numbers      69—71
Bianchi identity      165 295 354 463 480
Bianchi identity, first      482
Boundary      11
Boundary operator      62
Bounded operator      412
BRS algebra      376 520—524
BRS algebra for nontrivial fibre bundles      528—529
BRS algebra, shifted      524—525
BRS operator      172—175 345 350 356 379 523
BRS operator, shifted      524
BRS operator, total      521
BRS transformation      172—175 345—346 357 358 366 521
Cartan structure equation      114—116 463 479
Cartan's exterior algebra      42
Cartan's homotopy formula      334
Cauchy's integral formula      217
Chain complex      62
Chain terms      352 354 369 537
Chain terms, solutions      382—383 386 389
Chains      61
Charts      31
Chern character      425
Chern number      305 319 327
Chern — Simons form      296 314 327—328 335—337 354 367 372 377 379 444 516 525 527
Chern — Simons form, gauge transformation      336—337
Chern — Simons form, variation      339 341
Chern — Simons term      240
Chern — Simons theory      379
Chiral transformations      181 250—251 256 267
Chiral transformations, Jacobian      280—286
Chirality split      268
Christoffel connection      460—461
Christoffel connection, transformation      469 471 474
Christoffel symbol      460
Closed set      10
Closure      10
Coboundary      67 364 378
Coboundary operator      363
Cochain      363
Cocycle      67 362 364 378
Cocycle condition      361 364
Coderivative      see "Adjoint derivative"
Cohomology      363—365 378—379
Cokernel      413
Commutation relations functional      391
Compactification      13 17
Compactness      12
Compatibility condition      112 117 304 317 442 443
Conformal group      456
Conformal transformation      456
Conformally flat manifolds      456—458
Connectedness      18
Connection      105—113 304 309 317
Connection 1-form      109—112 442 460
Connection, global      443
Conservation laws      177—185 228
Consistency conditions for gravitational anomalies      512—515 522 529
Consistent current      392
Consistent current, gauge transformation      392 396 402—403
Continuous map      13
Contractible space      329
Contravariant vector      459
Coordinate transformations      458—460 468—474
Coordinate transformations, infinitesimal      470—471
Coordinate transformations, matrix      469
Cosmological constant      493
Cotangent bundle      104
Cotangent space      39—40
Cotangent space, basis      39 373
Covariant anomaly condition      394
Covariant current      392—393 397 404
Covariant current, gauge transformation      393 404
Covariant derivative      113 162 163 181 343 376 461 467—468 479 496
Covariant vector      459
Covering      12
Current 1-form      296 395
Current 1-form on Sp $\mathcal{A}$       401
Current operator      210—214
Curvature      113—117 304 310 463—465 479 484
Curvature 2-form      114 443
Curvature, transformation      469 471 473
Cutkosky rule      225
CYCLE      63
d'Alembert operator      420
De Rham cohomology      67—73
de Rham cohomology, group      67
de Rham cohomology, inner product      70
de Rham complex      68
de Rham's theorem      69
Derivative in Sp $\mathcal{A}$       391
Descent equations      341 354 369 372 376 377 385 387 525—527 530
Determinant bundle      448—449
Determinant fermion      439
Determinant of a differential operator      137—139
Determinant of the Dirac operator      277—286
Determinant of the metric      453
Determinant of the Weyl operator      428
Determinant, gauge invariance      429—430 439
Determinant, phase      439—440
Determinant, regularized      277 280—286
Diffeomorphism group      469

Diffeomorphisms      13 532
Differential forms      40—58 84
Differential forms on Sp $\mathcal{A}$       348
Differential forms, anticommutator      56—58
Differential forms, closed      54
Differential forms, coclosed      54
Differential forms, coexact      54
Differential forms, commutator      56—58
Differential forms, exact      54
Differential forms, harmonic      54 71—72
Differential forms, inner product      51
Differential forms, integration of      45—46
Differential forms, trace      56
Differential map      73 89
Dilatation vector      475
Dirac equation      154 178 229
Dirac equation, energy spectrum      229
Dirac field, free      154 155
Dirac field, interacting      155—156
Dirac genus      534
Dirac monopole      297—306 380 426
Dirac monopole, fibre bundle description      303
Dirac monopole, field strength      302
Dirac monopole, gauge potentials      299 301 302
Dirac monopole, gauge transformation      300—302
Dirac monopole, magnetic charge quantization      301
Dirac monopole, winding number      305
Dirac operator      249 255 265 497
Dirac operator, construction on $S^{2}\times S^{2n}$       441—443
Dirac operator, eigenvalue equation      409
Dirac operator, spectrum      431
Dirac operator, zero modes      409
Dirac sea      227—233
Dispersion relations      216—220
Dual algebra *Lie G      358
Dual current form      296 395
Dual p-form      49
Duality      68
Einstein anomaly      509—510 533 536
Einstein anomaly, 2-dimensional      537
Einstein equation      492—493
Einstein equation, with matter      493
Einstein equation, without matter      492
Einstein ghost      521
Einstein invariance      504—505 519
Einstein tensor      493
Einstein transformations      474 504 518—519
Einstein transformations, generator      511
Einstein — Hilbert action      491
Electrodynamics      287
Electrodynamics, action      292
Electrodynamics, current conservation      292
Electrodynamics, field strength      178
Electrodynamics, field strength tensor      288
Electrodynamics, gauge potential      156—159 290
Electrodynamics, Lagrangian      177
Elliptic differential operators      417—420 422
Embedding      454
Energy-momentum tensor      493—495 508 519
Energy-momentum tensor, antisymmetric      509
Energy-momentum tensor, covariant      519
Energy-momentum tensor, covariant conservation      493 505
Energy-momentum tensor, symmetric      493 503 504
Energy-momentum tensor, traceless      507
Equivalence principle      458
Euclidean space      250
Euclidean space, 2-dimensional      261
Euler characteristic      69—71
Exponential map      90
Extended gauge group element      374
Exterior covariant derivative      113
Exterior derivative      42 373 443
Exterior derivative in Sp $\mathcal{A}$       348 360
Exterior derivative in Sp $\mathcal{M}$       518
Exterior derivative on $\mathcal{M}\times \mathcal{G}$       374
Face      59
Faddeev — Popov determinant      167
Faddeev — Popov ghosts      92 168—170 344 350 356 379
Faddeev — Popov operator, differential      345
Faddeev — Popov operator, integrated      345
Family index theorem      436
Fermionic action      497
Fermionic Lagrangian      500—502
Feynman gauge      159
Feynman parameter integral      206 221
Feynman propagator for fermions      154—155
Feynman propagator of the photon      158—159
Feynman propagator, scalar      137
Feynman's path integral      124—129
Feynman's path integral, formula      126
Feynman's path integral, Hamilton formalism      126—129
Fibre bundles      95—117 348
Fibre bundles, reconstruction      99—101
Fibres      95 304 316
Field strength      116—117
Flow      78—81 90 93 105
Flow, infinitesimal      79
Frame bundle      104
Fredholm alternative      415
Fredholm operators      413—414 420
Fredholm operators, direct sum      415
Fredholm operators, product      416
Fujikawa's method      255—259
Fujikawa's method, regularization      257—259 263 268 270 432—435
Fujikawa's uncertainty principle      263—265
Function of an operator      274
Functional derivative      132—135 347
Fundamental vector field      105 360
Fundamental vector field, commutator      401
Gamma function      278
Gauge condition      166
Gauge fixing      158 167 169
Gauge group      159—161
Gauge group space      347 374 447
Gauge operator      343—344 353 356 360
Gauge operator, commutation relations      343 353
Gauge operator, integrated      344
Gauge potential      110—113 162
Gauge transformations      112 161 270 374
Gauge transformations, axial      179 181
Gauge transformations, infinitesimal      164
Gauge transformations, left-handed      180 182
Gauge transformations, right-handed      180 182
Gauge transformations, vector      178 181
Gauge variation      344
Gauss theorem      467
Gaussian cut-off      257 434
Gaussian integration      137—139 259 435
Gaussian integration for Grassmann variables      151—154
Gell-Mann matrices      160
Generating functional      140 142 144 154 155 169 191—197 251 342
Graded algebra      173
Grassmann algebra      42 149—154
Grassmann differentiation      150
Grassmann integration      150 256 264 433
Grassmann measure      256 267
Gravitational anomaly formula      527 531
Gravitational anomaly, axial      542—543
Gravitational anomaly, covariant      518—520 540
Gravitational anomaly, normalization      536
Gravitational anomaly, total      522
Green functions      185—190
Green functions for interacting fields      144—147
Green functions, connected      147—149
Green functions, free      139—141
Gribov ambiguity      171—172
Group parameter space      372
harmonic oscillator      121
Heat equation      274—275
Heat kernel      274—276 423—425

1 2 3

О проекте