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| Baez J.C., Muniain J.P. — Gauge theories, knots, and gravity |
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| Предметный указатель |
Magnetic charge 150
Magnetic field 7 69 131
Magnetic field Yang — Mills 262 264
Magnetic field, gravitational 444
Magnetic flux 133 135
Magnetic monopole 10 150
Manifold 18
Manifold, Lorentzian 75
Manifold, orientable 84
Manifold, oriented 85
Manifold, Riemannian 75
Manifold, semi-Riemannian 75
Manifold, smooth 20
MAP 32
Mass 268
Matrix groups 162 163 165
Matrix units 221
Maxwell's equations 3 7 69 72 92 93
Maxwell's equations, static 69 70 94
Maxwell's equations, vacuum 8 96
Meson 343
Metric 73 75
Metric-preserving connection 372
Minkowski metric 75
Module 27
Moebius strip 84 202 203 212
Momentum 99 388 389
Momentum conjugate 425
monopole 150
Morphism 203 221
Multi-index 65
Multiplet 219
Multiplicative link invariant 336
Muon 5 217
Naturality 48 67
Negative orientation 84
Neighborhood 16
Neutrino 5 216 217
Neutron 5 216
New variables 437
Newton's law 271
Nondegeneracy 80
Nonorientability 84
Nucleon 216 217
Nugatory crossing 300 301
Null vector 74 75
Observable 134 426
One-form see "Differential form"
Open set 16 17
Operator ordering problems 434 445
Orientation 82 84
Orientation-preserving map 85
Oriented link 305
Orthogonal group 163
Orthonormal basis 75
p-form see "Differential form"
Palatini action 408 409
Palatini formalism 404—406
Pancake proof 318
Parallel translation 234
Parallel transport 231 234 379
Parity 61
Partition function 333 342
Partition of unity 118
Path 104
path integral 135 137 341
Path-ordered exponential 236
Path-ordered product 236
Paths, composable 238
Paths, product of 238
Pauli matrices 172
Perko pair 300
Phase 134 166
Phase space 426
Phase space, physical 431
Photon 5
physical state 435
Physical state space 436 445
Pion 217
Planck length 6 449
Planck's constant 135 152
Plane wave 99
Plane wave frequency 100
Poincare group 164
Poisson bracket 427
POSITION 268
Positive orientation 84
potential energy 268
Prime knot 299
Problem of time 436
PRODUCT 162
Product topology 21
Projection map 200
Proper time 76
Proton 5 216
Pullback 31 32 47 53 61
Pushforward 32 33
Quantum chromodynamics 219
Quantum group 350
Quark 5 219 220
Quaternions 173
Rapidity 10
Reality conditions 443
Regular isotopy 309
Reidemeister move 301—303 308 336—338
Representation of a group 166
Representation of a Lie algebra 197
Representation, contragredient 175
Representation, dual 175
Representation, equivalent 168
Representation, fundamental 169
Representation, irreducible 170
Representation, projective 179
Representation, trivial 175
Restriction 204
Ricci flat metric 392
Ricci scalar 382
Ricci scalar imitation 408
Ricci tensor 382
Ricci tensor imitation 408
Riemann curvature tensor 380
Riemann tensor imitation 408
Riemannian metric 75
Right-handed basis 84
Right-handed crossing 310
Scalar curvature 382
Scalar field 366
Scalar potential 104
Schur's lemma 171
| Section 200 207 208
Section over a set 205
Seifert surface 319
Self-dual action 440
Self-duality 97 279 440—442
Self-linking number 311
Semi-Riemannian manifold 75
Semi-Riemannian metric 74
Shift vector field 420
SIGN 310
Signature 75
Simply connected 108
Site 333
Skein relations 312
Skein relations for Alexander — Conway polynomial 327
Skein relations for Jones polynomial 340
Skein relations for linking number 314
Skein relations for writhe 313
Skew-adjoint 187 189
Slice 414
Smearing 346
Smooth function 19 115 116
Smooth manifold 20
Smooth map 32
Smooth with boundary 115
Smooth, topological 20
Smoothness 7
Solenoid 132
Spacelike slice 414
Spacelike vector 74 75
Spacetime 72
Spacetime interval 73 74
Spacetime, splitting 72
Special linear group 163
Special orthogonal group 163
Special unitary group 164
Specific heat 333
Sphere  15 16 20
Spin-down state 198 216
Spin-up state 197 216
Standard fiber 202 205 214
Standard flat connection 227
Standard model 5
Standard orientation 84
Star operator 58
State 330
State sum 331
State vector 134
Static spacetime 76
Stokes' theorem 119
Strand 302
Stress-energy tensor 387
Strong force 167
Subgroup 162
Submanifold 120
Submanifold with boundary 121
Subrepresentation 170
Superconductivity 317
Superfluidity 317
Superspace 429
Symmetrization 383
Tangent bundle 201
Tangent bundle, complexified 439
Tangent space 28 116
Tangent vector 27 28 30 77
Tangent vector to a curve 29
Tau particle 5
Temporal gauge 127 231
Tensor 366
Tensor field 366
Tensor product 169 170
Tensor product vector bundle 210
Tetrad 404
Three-metric 415
Time coordinate 413
Time-reversal 164
Timelike vector 74 75
Topological space 16
topology 16
Torsion-free connection 372
Torus  141 142
Total divergence 401
Total space 200
Trace 172 272
Traceless matrix 172
Transition amplitude 134
Transition function 18 19 212
Transition probability 134
Transversality 319
Trefoil knot 294 314
Triad 404
Triplet 217
Unitary group 164
Unitary matrix 164
Unitary representation 178
Unknot 294 312
Vacuum expectation value 342
Variation 270 271 274 432
Vector bundle morphism 206
Vector bundle, complex 206
Vector bundle, real 205
Vector field 24 25
Vector field, integrable 35
Vector field, left-invariant 192
Vector fields, basis of 27
Vector fields, linearly independent 27 465
Vector fields, spanning 27
Vector potential 104 126 224 225
Velocity 268 426
Vierbein 404
Volume element 83
Volume form 83 85
Volume form, associated to a metric 86
Vortex lines 292 317
Vorticity 292
W boson 5
wavefunction 136
Wedge product 56
Wheeler — DeWitt equation 435 437
Whitehead link 311
Whitney trick 308
Wilson loop 242 342 343 438
Winding number 111
Wormhole 141
Writhe 311 312 314
Yang — Mills action 274 279
Yang — Mills equation 261 262 277 278
Yang — Mills Lagrangian 273
Z boson 5
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