Marmo G., Skagerstam B.S., Stern A. — Classical topology and quantum states :: Электронная библиотека попечительского совета мехмата МГУ

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Marmo G., Skagerstam B.S., Stern A. — Classical topology and quantum states

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Название: Classical topology and quantum states

Авторы: Marmo G., Skagerstam B.S., Stern A.

Язык:

Рубрика: Физика/Квантовая теория поля/Теория калибровочных полей/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1991

Количество страниц: 358

Добавлена в каталог: 23.07.2005

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

Предметный указатель

Multiply connected, spaces — examples of      85
No-go theorem      111
Noether current      177 208
Noether’s theorem      167 189
Nonabelian fundamental group      91—94 312
Nonabelian gauge theory      276 312
Nonabelian QCD gauge theory      80
Nonlinear $\sigma$ -model      112
Nonlinear gauge theories      122—129
Nucleon, charge      177
Nucleon, doublet      174—175
Nucleon, magnetic moment      241
Nucleon, mass      238
Observables      2 14 47 90 195 283—284
Octet mass      197
Orientable prime manifold      290
Parastatistics      88
Parity P      199
Particle with fixed spin      16—28 311
Path space $\mathcal{P}\mathcal{Q}$ over $\hat{Q}$       56 66 82
Path, $\Gamma_P$       64
Path, connected space      82 102
Path, ordered integral      278
Path, oriented      82—83
Path, space $\mathcal{P}\mathcal{G}$       72
Path, unparametrized      82—83
Peter — Weyl theorem      51 165 169 230
Phase convention      2
Physical spin      218
Pion      146
Pion, decay constant $F_{\pi}$       149 157
Pion, fields      150 177
Pion, mass $m_{\pi}$ ,      135 144 150
Pion, nucleon coupling      243
Pion, physics      155
Pion, scattering lengths      150 157
Poincare’s Lemma      131
Points at infinity      33 115 273
Poisson bracket      10
Polar decomposition      252
Prime decomposition theorem      288—289
Prime, decomposition      286—291 307
Prime, manifolds      286
Principal fibre bundle      23—26 312
Principal fibre bundle, $\bar{Q}$       85 282
Principal fibre bundle, trivial      25
Projection map $\pi$       23—24 66 74 300
Pseudoscalar octet      146
Pull-back      32 64
QCD, $\theta$ -aneles      274
QCD, anomaly      145—146
QCD, chiral symmetry      144
QCD, discrete symmetries      192
QCD, effective Lagrangian      143 146
QCD, Lagrangian      145
QCD, scale $\Lambda_{QCD}$       135
Quantization of gauge theories      282
Quantization, ambiguities      152 164 178 185—187 217 225 227—234 263
Quantization, condition      see “Dirac”
Quantization, Gupta — Bleuler      49—52
Quantization, procedure      13
Quantum mechanical, rotation group      77
Quantum mechanical, symmetry group $G_{QM}\subset G$       68—75
Quantum, chromodynamics      272
Quantum, gravity      274 282 307—310 312
Quantum, Hall effect      7 298
Quantum, observables      2 14 195 283—284
Quark      135 231
Quark, charges      249
Quark, fields $q_a^{\alpha}$       143 145
Quark, flavour      144
Quark, model      249
Quaternion group      95 290
radii      236
Renormalizability      149 157
Riemannian metrics, asymptotically flat      307
Right coset      23
Right generator      49 166
Rigid rotator      165
Rotational symmetry      160
Scalar constraint      275
Schrodinger equation      106
Schur’s lemma      92 202 206 224
Schwinger terms      212
Secondary constraints      11
Semiclassical quantization      163 261
Semiclassical tunneling      267—268
Simply connected      83
Singular fibration      27
Skyrme, Lagrangian      162
Skyrme, term      150 256
Skyrmion      191
Skyrmion, -flavour      227—234
Skyrmion, baby      99
Skyrmion, electroweak      250—268
Skyrmion, phenomenology      235—249
Skyrmion, physics      312
Skyrmion, radii and magnetic moment      236
Skyrmion, static properties      236
Skyrmion, three-flavour      178 207 208—209 218 243—249
Skyrmion, two-flavour      152—173 179 236—243
Slide      303
Soliton, energy      158

Soliton, maximal and non-maximal      223 232—234
Soliton, physics      229
Soliton, spin      229
Soliton, topological      99—121 149 152
Solution, Belavin and Polyakov      118
Solution, classically stable      101
Solution, dissipative      101
Solution, localized      100
Spatial rotations      262 292
Sphaleron      265
Spherical space forms      290—291
Spherical symmetry      160—162 218 222 264
Spherical, Ansatze      162 217—234 253
Spherically symmetric solution      160
Spin content      226
Spin-statistics theorem      295 305 313
Spinning particle      16 46
Spinorial states in the Skyrme model      164 184—193
Spinorial states, quantum states      171 174 190
Spinorial states, states from pure gravity      291—297 310
Stability      264
Stability group      112
Standard (GSW) model      144 251
States, $\theta$       271
States, bosonic and fermionic      165
States, degenerate      227
States, spinorial      171 174 190
States, stability      267
States, tensorial      170 305
Statistics in a plane      297—298
Statistics of particles      297
Statistics, Fermi      180
Statistics, fractional      298
Statistics, Skyrmion      248
Stereographic coordinates      115 153
Stereographic projection      33
Stokes theorem      35 60 181 200 204 212
strings      298
Strings, antistring      305
Strings, Dirac      18 56
Strings, exchange of      301
Strings, oriented      299 306
Strings, unlinked      301
Strings, unoriented      299—305
Strong coupling limit      193 252—261
Structure, abelian group      312
Structure, constants $c^i_{jk}$       212
Structure, group $\mathcal{G}^{\infty}$       277
Structure, group $\pi_1(Q)$       282
Structure, group U(l)      23
SU(3) flavour symmetry breaking      244
Symmetry breakdown      144—146
T*M      10
Tangent bundle TM of M      9
TM      9
Topological aspects of quantum gravity      312
Topological charges      177 310
Topological conservation laws      254
Topological current      180—181 199
Topological field theories      132
Topological geon      307
Topological index      259
Topological mass      131
Topological soliton      99—121 149 152
Topologically stable configuration      102
Topology of Q      2
Topology, change      313
Triality      190
Trivial sector      108
tunneling process      267—268
Two-Sylow subgroup      294—295
U(1) bundle $\hat{Q}$ over Q      81 311
UIR,       298
UIR,       300
UIR, $\mathcal{G}^{\infty}/\mathcal{G}^{\infty}_0$       173
UIR, G      304
Unimodularity      150
Unitarity      150
Universal covering space $\bar{Q}$       82—85 281 300
Unknots      299 306
Unordered set      88
Vector and axial currents      211
Vector, constraint      275
Vector, domain      280—282
Vector, horizontal and vertical      29
Vector, horizontal space       30
Vector, subgroup      146
Vector, vertical space       31
Vector-valued      81
Vortices      111
Weak, equality (as)      11
Weak, gauge invariance      42
Weak, interactions      144 251
Weak, isospin      253
Weakly invariant      21
Wess — Zumino — Novikov model      210—216
Wess — Zumino, action      63
Wess — Zumino, term      55—79 188—192 198 203—205 210
Winding number      108 152 155—156 161 167 183 273
Wu-Yang      43
Yang — Mills potential      130 143
Zero, frequency modes      164 261
Zero, modes      101 164 262—263
Zero, point corrections      247—248

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