Baez J.C., Muniain J.P. — Gauge theories, knots, and gravity :: Электронная библиотека попечительского совета мехмата МГУ

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Baez J.C., Muniain J.P. — Gauge theories, knots, and gravity

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Название: Gauge theories, knots, and gravity

Авторы: Baez J.C., Muniain J.P.

Аннотация:

The book is clearly written and should be accessible to readers who have a good undergraduate preparation in mathematics or physics. Each part of the book ends with a list of references that will enable the reader to pursue the material presented in greater detail.

Язык:

Рубрика: Физика/Квантовая теория поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 465

Добавлена в каталог: 23.07.2005

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

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 $S^{n}$       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 $T^{n}$       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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