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Ward R.S., Wells R.O. — Twistor geometry and field theory
Ward R.S., Wells R.O. — Twistor geometry and field theory



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Название: Twistor geometry and field theory

Авторы: Ward R.S., Wells R.O.

Аннотация:

This book deals with the twistor treatment of certain linear and non-linear partial differential equations in mathematical physics. The description in terms of twistors involves algebraic and differential geometry, and several complex variables, and results in a different kind of setting that gives a new perspective on the properties of space-time and field theories. The book is designed to be used by mathematicians and physicists and so the authors have made it reasonably self-contained. The first part contains a development of the necessary mathematical background. In the second part, Yang-Mills fields and gravitational fields (the basic fields of contemporary physics) are described at the classical level. In the final part, the mathematics and physics are married to solve a number of field-theoretical problems.


Язык: en

Рубрика: Физика/Классическая физика/Классические поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 520

Добавлена в каталог: 20.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Killing, W.K.J.      37
Klein correspondence      7 360 376
Klein quadric      26 28 29 51 56
Klein — Gordon equation      242 254
Klein — Gordon field      255 256 258
Klein — Gordon Lagrangian      256
Klein, F.      1 7 18 27
Ko, M.      294
Kobayashi, S.      142 144
Kodaira vanishing theorem      192
Kodaira, K.      185 185 438 444 452
Komatsu, H.      359 368
Konstant, B.      460 473
Krantz, S.G.      342
Kronecker delta function      242
Kronheimer, P.      457
Kuiper, N.      258 260
Kunneth formula      161 162 165 236
Lagrangian      69 253 255 256 258 265—267 271 280 468
Laplace equation      277 296 428
Laplacian      283 446
Laurent expansion      87 190 317 384
Laurent series      91 191—193 315 316 400
Laurent series coefficients      91 322 408
Law, P.R.      448
Lawson, B.      209 274 275
Lebesgue measure      97
LeBrun, C.      433
Lee, C.      276
Left-handed fields      250 338
Left-handed Maxwell field      347
Leibniz' formula      161
Leiterer, J.      397
Leites, D.A.      460 473
Lens space      297
Leray cover      179 182 189 191
Leray direct image theorem      366
Leray spectral sequence      162 332 233 335 345 346 348
Leray theorem      190
Leray, J.      2 166
Lerner, D.E.      454
Levi-Cevita connection      145 146 249 286 443
Leznov, A.N.      284
Li, L.F.      285
Lie algebra      37 38 73 89 136 137 140 264 266 267 276 277 281 421
Lie algebra structure      85 142
Lie algebra-valued fields      483
Lie algebra-valued forms      142
Lie bracket      94 142 434 441
Lie derivative      353 436
Lie group      36 37 39 41 47 63 66 67 84 89 90 139 189 206 208 211 213 258—260 264
Lie, S.      36
Light cone      47 48 49 50—52
Light rays      48
Line bundle      72 74 86 90 198 205 279 309 316 371 383 386 398 399 404 422 441
Linear differential operator      303
Linear field equation      242 418
Linear field theories      2 3 21 241
Linear Penrose transform      325 377
Linearly independent vector fields      15 198
Liouville's theorem      377 380 395
Local coordinates      8 14 22 78 82 85 105 143 305 306 320 322 339 428 453 478 482
Local model      477—479
Local representation      87 91 105 136
Local rings      475 411
Local trivialization      76 75 77 78
Local twistor transport      438
Local twistors      441
Locally constant section      304
Locally constant sheaves      182
Locally free C-modules      184 191
Locally free sheaf      174 342 382 465 466 483
Long exact cohomology sequence      196 355
Long Exact Sequence      161 195—197 213 317 318 345 383
Loop space      164
Lorentz group      47 60 67 287 473
Lorentz metric      215
Lorentz transformation      259 261 262 472
Lorentz, H.A.      45
Lorentzian manifold      122 212 218 473
Lorentzian signature      244 271 293 371
Lower half plane      55 62 356 358
MacCallum, M.A.H.      258 260 261 290 302 349 353 433 438
MacKichan, B.      363
Madore, J.      415
Magnetic charge      279 280 282 422
Magnetic charge density      280
Magnetic currents      279
Magnetic field      244 279 282 422
Magnetic monopoles      164
Magnetic pole      280 285 371 372 398 422 426 429
Magnetic pole solutions      279 409 429
Man ton, N.S.      423
Manifold      38
Manifold structure      39 75
Manin, Yu. I.      415 417 459 460 467 468 469 473 480 481 483 484
Martin, W.T.      54 55
Massless field      233 241 244 245 250 257 261 289 301 338 340 348 349 351 353 371 383 393- 404 418 434 446 447
Massless field equation      301—303 325 334 340 354 360 361 362 371 448
Massless free field      261 301 393 405 407 434 454
Massless free-field equations      292 293 351 397 454
Massless particles      47
Massless scalar field      242 421
Matrix group      40
Maximal ideal      475 478
Maxwell case      422
Maxwell equations      1 47 241 244 257 289
Maxwell field      250 254—257 265 279 404
Maxwell field strength      468
Maxwell Lagrangian      254 256
Maxwell potential      468
Maxwell spinor field      252
Maxwell theory      263—265 279 282
Maxwell — Dirac equations      256
Maxwell — Dirac field      255
Maxwell — Dirac Lagrangian      256
Maxwell — Dirac theory      263
McCarthy, P.J.      422
Metric      115 286 457
Metric rescalings      291
Metric tensor      287
Meyers, C.      422
Michelson, M.L.      209
Microlocal analysis      367
Miller, F.R.      454
Milnor, J.W.      213 235
Min-Oo      275
Minitwistor space      426 428 458
Minkowski conformal groups      52
Minkowski geometry      67
Minkowski inner product      46 47 66
Minkowski metric      61 271 449 450
Minkowski norm      47
Minkowski space      3 21 45—49 125 208 354 370 382 460 464 466 472 473 484
Minkowski space-time      258 260 264 267 269 270 288 353 387
Minkowski, H.      45
Mittag-Leffler, G.      166 188 189
Mitter, P.K.      275
Mixed spinor-tensor      247
Moduli space      410 414
Moebius transformation      51 52 59 62
Momentum space      1
Monad      415
Monad method      372 421 422 430
Monopole number      282 283
Monopole solution      282
Morphism      69 475
Morrow, J.      185 452
Multi-Taub-NUT metrics      296
Murray. M.K.      430
Nahm equations      431 432
Nahm's construction      431 432
Nahm, W.      430
Negative flags      42 43
Negative frequency massless fields      367
Negative helicity      338—340 342 352
Negative helicity field      347
Negative helicity massless field equations      347
Negative helicity massless fields      352
Neutrino equation      450
Newlander — Nirenberg theorem      389
Newlander, A.      114
Nilpotent elements      162 411 460 476 479
Nirenberg, L.      114
Nohl, C.      276 278
Nomizu, K.      142 144
Non-Kaehler manifolds      449
Non-self-dual problems      459
Nonabelian gauge group      264
Nonabelian gauge theory      279
Nonabelian n-monopole field      282
Nonlinear graviton construction      434
Nonlinear plane wave      472
Nonnegative helicity      362
Nonsingular quadric surface      28
Nontrivial line bundles      195
Nonvacuum space      451
Nonvanishing n-form      386 387
Normal bundle      339 340 349 436 438 441 457 461 464
Nuclear forces      285
Null cone      30 47 51 259 260 353 367
Null cone structure      56 58 260
Null direction      377 379 387 470 472
Null lines      31 32 34 56 460 483
Null Maxwell spinor field      252
Null plane      32 34
Null vectors      44 377 453
Numerical indexed quantity      121 129
Numerical indices      121 128 129 132
O'Raifeartaigh, L.      430
Oiftbfd product      209
Oka, K.      193 194
Okonek, C.      402
Olive, D.      279 284
One-instanton solution      278
One-point compactification      10 272
Orbit      42
Ordinary differential equation      377 429
Orthogonal groups      208 236 237 391
Orthonormal frame      122 129 208
Orthonormal frame bundle      165 212
Osborn, H.      418
Panagopoulos, H.      431
Paracompact Hausdorff space      176 179 183
Parallel field      374
Parallel transport      144
Parity change      474 482
Partial differential equations      166 283 342 354 371
Particle Physics      473
Partition of unity      98 122 146 183 184 186 329 480
Path-ordered exponential integral      376
Pauli matrices      89 267 276 284 405 421
Penrose transform      3 171 233 301- 305 325 331 338 346—349 352 354 360 362 364 366 469 370 382 383 386 398 444 459 460 464 466 468 473 483
Penrose, R.      115 118 121 125 241 246 250 257 258 260 261 286- 294 302 310 311 321 343 347—350 353 366 393 422 433 434 438 441 448 470 472
Perry, M.J.      295
Perturbation analysis      270 271
Phase invariance      263
Physical fields      245
Planck's constant      242
Plucker embedding      26 27 29 32 56 460
Plucker, J.      1 7
Poincare group      47 258 259 261 271
Poincare Invariance      241 258 267
Poincare lemma      108 170 171
Poincare transformations      260—262
Poincare, H.      45 98 150 153 260
Polarization      200
Polking, J.      361 363
Polyakov, A.M.      283
Polyhedral surface      148
Pontrjagin classes      199
Pool, R.      463 466 468 470
Pope, C.N.      295
Positive flag      42
Positive frequency massless fields      367
Positive helicity      338
Potential      254 347 387
Prasad — Sommerfield solution      283 284 423 424
Prasad, M.K.      284 424 431
Presheaf      67
Prime ideals      478
Primed indices      247 406 448 450 453
Primed spin-bundle      405 443
Primed spin-space      246 442
Primed spinor      434 442 445 447
Principal bundle      68 88 89 90 139 140 208 212 217 265 278
Projective algebraic manifold      16 185
Projective line      65 67 338 345 378 460
Projective linear spaces      17
Projective primed spin-bundle      444 445
Projective space      1 3 7 9 10 11 12 18 19 23 65 86 112 163 186 192 196 310
Projective spinor      445
Projective twistor space      20 23 24 371 372 438
Pseudo-Riemannian manifolds      122 145 214 241 259 286
Pseudoparticle solution      278
Pullback bundle      208 304
Pullback mapping      97 328 360
Pullback sheaf      304 311 313
Pullback vector bundle      203 324
Quantum electrodynamics      263 285
Quantum field theory      1 46 263 270 271 284 285
Quantum gravity      294
quantum mechanics      19
Quantum-mechanical fluctuations      270
Quaternionic conjugation      210
Quaternionic structure      65 67
Quaternionic-Kaehler spaces      449
Quaternions      419—421
Quotient bundle      75 340
Quotient sheaf      172 339
Quotient stalk      340
Quotient topology      10
R-gauge      403 409
Rajaraman, R.J.      285
Range, R.      342
Rational curve      430 436 445
Rational holomorphic curves      457
Rational mappings      61
Rawnsley, J.H.      393 417
Real cohomology groups      160
Real compactified Minkowski space      361
Real conformal weights      309
Real form      387 389 390 391 392 417
Real gauge field      409
Real lines      65 388 416
Real manifold      208 275 410
Real Minkowski space      21 301 302 361 362
Real points      65
Real projective space      10 162 163
Real space-time      311
Real structure      416 428 433 457
Real submanifold      9 61
Real tangent bundle      101 102 114
Real-analytic Dolbeault group      361
Real-analytic function      355 356 360
Real-analytic germs      72
Real-analytic manifold      36 359
Real-analytic p-forms      360
Real-analytic solution      354 361 362
Real-analytic tangential Dolbeault group      362
1 2 3 4 5
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