|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Baez J.C., Muniain J.P. — Gauge theories, knots, and gravity |
|
|
|
| Предметный указатель |
Abelian 167
Acceleration 268
action 136 166 267 269 398
Action principle 136 267 269
Additive link invariant 335
ADM formalism 414 425
Alexander — Conway polynomial 327 328
Algebra 25
Algebra commutative 25
Algebra graded commutative 61
Algebra supercommutative 61
Alternating link diagram 300
Ambient isotopy 297 344
Amphicheiral knot 299 304
Anti-deSitter space 448
Anti-self-duality 97 440 442
Antisymmetrization 383
Arc-connectedness 105
Arclength 76
Atlas 19
Baryon 343
Base space 200
Basepoint 110
Basis of sections 208
Beta-decay 216
Bianchi identity 253 255 257 390
Bilinear map 74
Bilinear map, nondegenerate 75
Bilinear map, symmetric 74
Blackboard framing 306 307
Bohm — Aharonov effect 139
Borromean rings 296
Boson 180
Boundary 116
Bundle 200
Bundle, locally trivial 202 205
Bundle, trivial 202
Cable 325
Canonical commutation relations 428 434
Canonical quantization 424
Cauchy data 128 129 264 414
Charge density 7
Chart 18 115
Chart, oriented 85
Chern class 281
Chern form 280
Chern — Simons action 287
Chern — Simons form 285
Chern — Simons state 438 446
Chern — Simons theory 287
Christoffel symbols 374
Christoffel symbols imitation 408
Closed form 104
Closed set 16
Cocycle 179
Cocycle condition 179 213
Cocycle, essential 180
Codazzi equation 422
Coframe field 407
Cohomologous forms 123
Cohomology class 123
Cohomology class integral 282
COLOR 168 219
Commutativity 37
Commutator 35 186 427
Compactness 21
components 27 54 295 367
Configuration space 425 426 429
Connected component 105
Connected Lorentz group 165
Connected sum 299
Connected to the identity 288
Connectedness 105
Connection 200 223
Connection flat 227 244
Connection Lorentz 407 439 443
Connection modulo gauge transformations 229 342 349
Connection, self-dual 440 443
Constraint 129
Continuity 17
Continuity equation 95 388
Contractible loop 112
Contraction 368
contravariance 32 47
Coordinate 1-forms 50
Coordinate transformation, active 52 53
Coordinate transformation, passive 52
Coordinate vector fields 50
Core 322
Cosmological constant 393 438 446
Cotangent bundle 210
Cotangent vector 44 45 47 77
Cotetrad 407
Cotriad 407
Covariance 32
Covariant derivative 223 234 376 379
Covariant exterior derivative 249
Cover 18 181 196
Curl 65
Current 93 131 261
Current density 7
Curvature 243
Curvature 2-form 249
Curvature, self-dual 441
Curve 29
Degree 57
Densitized tensor field 444
deRham cohomology 123
Diagram 298
Diffeomorphism constraint 433
Differential 41 42 63
Differential form 59
Differential form 1-form 40—44
Differential form exact 104
Differential form p-form 60
Differential form, closed 104
Differential form, E-valued 249
Differential form, End(E)-valued 248
Dirac algebra 433
Direct product 168
Direct sum 58 168 169 198
Direct sum vector bundle 210
Disjoint union topology 21
Disk  116
Distance 379
Divergence 65
Divergence-free tensor 388
Double cover 177 178
Doublet 216
Dreibein 404
Dual basis 54 209
Dual form 88
Dual linear map 47
Dual vector bundle 209
Dual vector space 46
Duality 9 149
E-valued differential form 249
Einstein summation convention 24 79
Einstein tensor 382
Einstein — Hilbert action 398
Einstein's equation 370 387 392 393
Einstein's equation, linearized 402
Einstein's equation, vacuum 392
electric field 7 104
Electric field Yang — Mills 262 264
Electric field, gravitational 444
electromagnetic field 3 12
Electron 5 216
Electroweak force 167
Embedding 121 297
| Empty link 295
End(E)-valued 1-form 225
End(E)-valued differential form 248
Endomorphism 220
Endomorphism bundle 221
Energy 389
Energy density 81 388
Energy-momentum 99
Euler — Lagrange equations 271 425
Evolutionary equation 129
Exact form 104
Expected value 134
Exponential 184
Exponential map 189
Exterior algebra 56 59
Exterior algebra bundle 211
Exterior covariant derivative 250
Exterior derivative 41 42 48 63—65
Exterior product 56
Extrinsic curvature 416
Fermion 180
Fiber 201 206
Fiberwise linearity 206
Figure-eight knot 296
Flavor 219
Flow 35
Flux 114 133
Flux tube 316 449
force 268
Form bundle 210
Frame 404
Frame field 404
Frame field, complex 439
Framed link 306
Framed Reidemeister moves 308
Framing 306 346
Free particle 428
Frequency of a plane wave 100
Functional derivative 432
G-bundle 214
G-connection 228
Gauge boson 180
Gauge choice 127
Gauge equivalence 229
Gauge field 5
Gauge freedom 126
Gauge group 214
Gauge invariance 206 222 241
Gauge transformation 126 222
Gauge transformation, large 289
Gauge transformation, small 288 446
Gauge-invariant 262
Gauss equation 422
Gauss integral 315
Gauss law 129 264 439 444
Gauss — Codazzi equations 422
General linear group 162 166
Geodesic 379
Gluon 5
Graded commutator 258
Graded cyclic property 276
Graded Jacobi identity 258
Gradient 39 40 65
Grand unified theory 168
Gravitational constant 370
Gravitational waves 394 402
Graviton 402
Group 162
Hadron 150 216 219 343
Hamilton's equations 426
Hamiltonian 268 425 426 430
Hamiltonian constraint 433
Hamiltonian generating time evolution 427 428
Higgs boson 6
Hodge star operator 87 88 261
Hodge star operator internal 439
Holonomy 238 247
Homomorphism 165 191
Homotopy 107
Hopf link 295 305
Identity 162
Identity component 165 177
Identity loop 239
Indices, abstract 370
Indices, dummy 369
Indices, internal 225 246 405
Indices, raising and lowering 76 79 369
Indices, spacelike 420
Indices, spacetime 405
Induced topology 20
Inner product 80
Inner product problem 436
Instanton 98 279
Integral curve 34
Internal metric 405
Internal space 404
Intersection number 320
Intrinsic curvature 420
Invariant subspace 170
Inverse 162
Inverse path 239
Isomorphism 166 191 203
Isospin 216
Isotopic 302
Isotopy class 299
Isotopy invariant 299
Jacobi identity 38 191
Jones polynomial 340
Kauffman bracket 335
kinetic energy 268
Knot 293
Kronecker delta 43
Lagrangian 135 269 341 425
Lapse function 420
Left circularly polarized wave 101
Left multiplication 192
Left-handed basis 84
Left-handed crossing 310
Leibniz law 26
Length 379
Lepton 5
Level 345
Levi — Civita connection 372
Levi — Civita connection imitation 408
Levi — Civita symbol 91
Lie algebra 183 191
Lie algebra, semisimple 198
Lie bracket 35 186
Lie group 165
Lie subalgebra 192
Lightlike vector 74
Line bundle 206
Linearity over  40
Link 294 344
Linking number 310 314
Living in  215 222
Living in G 214
Local coordinates 50
Local trivialization 205
Locally constant function 124
Locally finite linear combination 59
Loop 110
Loop number 331
Loop representation 438
Loop value 335
Loop, contractible 110 111
Lorentz force law 7
Lorentz group 163
Lorentz transformation 10
Lorentzian metric 75
|
|
|
| Реклама |
|
|
|
|
|
О проекте