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

$CP^{n-1}$ models      127—129
-alities      231
“primary” constraints      10 194
$Riem(^3M)/D^{\infty}$       285
      113
$T\hat{Q}$       2
      28
$\hat{G}$       4 71
$\sin^2\theta_W$ ,      251
$\theta$ vacua      272—278
Action, Chern — Simons      135
Action, chiral $S_{WZ}$       63
Action, free      2 23
Action, left and right      49
Action, QCD      146
Action, Wess — Zumino      213—216
Adiabatic rotations      137
anomalies      4 202—204
Anomalies, U(1)      146
Antisymmetric potentials      213
Asymmetric rotor      94—96
Axial, anomaly      182—183
Axial, symmetry      264
Baryon, decuplet      193 243—244 247
Baryon, masses      244 246
Baryon, number      136 145 180—184 206 217—218 221
Baryon, octet      193 243—244 247
Baryonic current      180 203 236
Base, manifold      23
Base, space B      24
Belavin and Polyakov solution      118
Bianchi identity      57 131—132
Bogomol’nyi bound      103 118 120 158 162
Borel — Weil — Bott      52
Bosonization      202
Boundary $\partial\Lambda$ of $\Lambda$       201
Braid group       89 297—298
BRST symmetry      15
Bundle automorphism      25
Bundle circle      66
Bundle space      24
Bundle structure      23
Bundle tangent      9
Bundle twisted      2 311
Bundle, $\hat{Q}$       61 67
Bundle, $\pi_1(Q)$       312
Bundle, cotangent T*M      10
Burnside’s Theorem      304
Canonical approach to gravity      274
Canonical formalism      44—54
Canonical quantization      13—15 193—197
Canonical transformations      11
Casimir invariant      196 226
Central extension      68 71
Central extension $\hat{G}$ of G      71—75
Central extension of 50(3)      76—79
Central term      216
Centre of a group      190
Centrifugal term      162
Charge, conjugation      155—156
Charge, monopole system      38—43 55—61 311
Charge, operator      176
Chern — Simons, nonabelian term      298
Chern — Simons, term      130—151
Chern — Simons, three-form      183 284
Chiral, gauge model      250 254
Chiral, group $SU(2)_L\times SU(2)_R$       253
Chiral, model action      63 200—204
Chiral, symmetry      135
Chiral, two flavour model      154 250
Chromodynamics      272
Classically stable      101 265
Clebsch — Gordan      236 241 246
Cohomology group, second       228
Collective, approximation      223 228
Collective, coordinate      137 162 182 185—186 188—193 224 227 230
Collective, model of nuclei      86 94—96
Colour,       189
Colour, group      143 180 190
Colour, SU(3)      232
Commutator subgroup      76
Configuration space, gravity theories      280
Configuration space, M      9
Configuration space, multiply connected      80—96 271—284
Configuration space, nonabelian gauge theories      276—278
Configuration space, Q      1 154 281
Connected sum $M_1\sharp M_2$       286—288 307
Connection      28—35
Connection, one-form      31 131
Connection, smooth      29
Constraints, analysis      9—13
Constraints, first and second class      12 195
Constraints, primary      10
Constraints, secondary      11
Coset space G/H      112 147
Covariant derivative      145 177 252 253 264
Current algebra masses      144 244
Curvature two-form      131
d-functions      51—54 169—170 191—192
Decuplet, mass      197
Decuplet, spin      226
defects      297
Degenerate states      222
Delta, charge      177
Delta, mass      176
Delta, resonance      174—175
Derrick’s theorem      109 118 158
Dibaryon      219—228 231—232 247—248
Diffeomorphism      131 275 279
Diffeomorphism, asymptotically trivial      276
Diffeomorphism, group      275 279
Diffeomorphism, internal      309
Diffeomorphism, orientation reversing      306
Diffeos      299
Dirac — Bergmann, constraint theory      9
Dirac — Bergmann, quantization procedure      44 48
Dirac, brackets      13
Dirac, quantization condition      54 59 65 79
Dirac, sea      180
Dirac, string      18 56
Dirac, vacuum      180
Disconnected, components      154
Disconnected, sets      102
Eightfold way      141
Electric charge      175 178 208 256
Electric current      207—208
Equivalence relation $\sim$       14 24 27
Ethylene molecule      86
Exchange operation E      301
Fermi statistics      180
Ferromagnetic      114 153
Fibration      27
Fibre      24
Fibre bundle $U(l)\rightarrow S^3\rightarrow S^2$       42
First class constraints      12 47
Flat metric      293
Flavour      144—145 167 184
Flavour, decuplet      193
Flavour, octet      193
Flavour, rotation      163
Flavour, SU(3)      196
Fractional statistics      131 298
Free (U(1)) action      2 23
Free spinning particle      16
Fundamental group, group of Q      79
Fundamental group, nonabelian      91
g-factor      239
G-orbit      24
Gauge, chiral model      250 254
Gauge, fixing      22 26—28

Gauge, group $\mathcal{G}$       25
Gauge, group SU(3)      272
Gauge, invariance      21
Gauge, potentials      32—35
Gauge, symmetry      184 232
Gauge, transformation      21 34 282
Gauss-law constraint      185 272
Gell — Mann — Nishijima      178 200 207 210
Gell — Mann — Okubo      244
Generators, left SU(2)      166
Generators, right SU(2)      166
Geodesies      280
Geons      94 271 285—295 307
Geons, antigeon      313
Geons, identical      308
Geons, phenomenology      313
Geons, spinorial      313
Global, chiral rotation      153
Global, gauge fixing      26 42
Global, phase choice      2
Global, section      25
Gluons      180
Golds tone, bosons      252
Golds tone, mode      147
Goldstone’s theorem      146
Group algebra C(G)      304
Group,       89
Group,       87 95
Group, $D^{\infty}$ and $D^{\infty}_0$       279
Group,       279
Group, $G_{QM}$       77 311
Group,       291
Group, $SU(2)\times U(1)$       144
Group,       252
Group, $SU(3)\times SU(2)\times U(1)$       144
Group,       143—144 190
Group,       180
Group,       62
Group, $SU(N_f)_L\times SU(N_f)$       146 253
Group,       88
Group,       146
Group,       145
Group,       252
Group, $Z_{N_f}$       230
Group, $\bar{\Gamma}/Z_2$       290
Group, $\hat{G}$       71 311
Group, $\mathcal{G}^{\infty}$       273
Group, $\mathcal{G}^{\infty}_0$       276
Group, H vector isospin      266
Group, quaternion subgroup      95
Group, structure group G      24
Group, SU(2)      41 154
GSW model      251
GSW model, strong coupling limit      252
Gupta — Bleuler method      49—52
GUT models      297
H-baryon      219—227
H-baryon, mass      249
Haar measure      169—170 190 230
Hamiltonian      11
Hamiltonian, formulation of gravity      277
Hamiltonian, spinning particle      17
Helicity      94
Higgs, field      251—252 256
Higgs, mass      251 256
Higgs, particle      252
Higgs, self-coupling constant      251
High temperature superconductivity      132 298
Homology group       64
Homomorphism, SU(2) to SO(3)      49 163
Homotopy classes      109
Homotopy equivalence      83 108—109
Homotopy groups      111
Homotopy groups, $\pi_0(\mathcal{G}^{\infty})$       277
Homotopy groups, $\pi_1(M)$       82—85 280 299 312
Homotopy groups, $\pi_3(M)$       134 254
Homotopy groups, $\pi_4(SU(2))$       172
Homotopy groups, $\pi_D(M)$       134
Homotopy groups, $\pi_2(M)$       116
Hopf fibration      29
Horizontal lifts      35—37
Hyperbolic spaces      291
Hyperchange      186 189 245
instantons      122 267
Invariant measure,       230
Invariant measure, SO(3)      169
Invariant measure, SU(2)      170
Invariant measure, SU(3)      189
Irreducible representation(IRR), $Z_{N_f}$       231
Irreducible representation(IRR), SU(3)      191 225
Isospin      151 167 170 240
Isospin,       176
Isospin, diagonal      192
Isospin, rotations      161
Isospin, subgroup      206
Isospin, vector      253 257 262—263
Isospin, weak      253
Jacobi identity      12 46
Kac — Moody algebras      212
Kernel $\hat{K}$       71
Kink (antikink)      105
Knots      132
Knots, unknots      299 306
L weakly invariant      21—22
Lagrange multipliers      11
Lagrangian      2
Lagrangian, $\sigma$ -model      114
Lagrangian, effective      134
Lagrangian, global      18
Lagrangian, nonlinear model      122—129
Lagrangian, QCD      145
Lagrangian, real scalar field      104 107
Lagrangian, Skyrme      162 186
Lagrangian, spinning particle      19—20
Lagrangian, U(1) gauge theory      111
Large limit      159
Larger space $\hat{Q} = QxS^1$       1
Left generator      49 166
Legendre transformation      18
Levi — Civita symbol      17 39 165 292
links      306
Little group      27
Local section      25 32
Local U(1) gauge symmetry      110
Loop corrections      255
Lorentz force      38
Low energy, dynamics      150
Low energy, mulitpion scattering amplitudes      150 157
magnetic moment      17 230 238 242
Magnetic monopole      38—43 200—201
Magnetic monopole, field      38 56 214
Magnetic monopole, quantization      52—54
Manifold,       274 304 312
Manifold,       274
Manifold, asymptotically flat      282
Manifold, boundaryless      307
Manifold, closed      307
Manifold, compact      307
Maurer — Cartan form      123 148 153
Merons      267
Mesons, higher spin      200
Mesons, masses      238 245
Mesons, pseudoscalar octet      146 204 244
Mesons, pseudoVector      200
Mesons, vector and axial      147
Mesoscopic networks      305
Moment of inertia      85 94 138 224
Motion group      301
Multiply connected      84
Multiply connected, configuration spaces      74

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