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

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 $D^{n}$       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 $C^{\infty}$       40
Link      294 344
Linking number      310 314
Living in $\mathfrak{g}$       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

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