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Masujima M. — Path integral quantization and stochastic quantization
Masujima M. — Path integral quantization and stochastic quantization

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Название: Path integral quantization and stochastic quantization

Автор: Masujima M.

Аннотация:

The book gives an overview of path integral quantization and stochastic quantization of classical mechanics and field theory. The non-Abelian gauge field, the gravitational field, and the path integral representation of quantum statistical mechanics and stochastic quantization are described.


Язык: en

Рубрика: Физика/Квантовая теория поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 282

Добавлена в каталог: 21.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abers, E.S.      168
Action functional      1 3 4 8 14
Action functional, additivity      12 21 93
Action functional, classical field theory      58
Action functional, effective      135 161
Action functional, Euclidean      180 199 200
Action functional, function of the end-points      9
Action functional, gauge field      127 129 134
Action functional, gauge field, quadratic part      128 136 139 141
Action functional, gauged matter      120
Action functional, gravitational field      173
Action functional, interaction      183
Action functional, Minkowskian      180
Action functional, modified Euclidean      180
Action functional, modified Minkowskian      180
Action functional, ungauged matter      120
Action principle      8 11
Action principle, analytical mechanics      1 13
Action principle, Feynman      56 91 101
Action principle, Hamilton      3 4
Action principle, quantum analog      13
Action principle, quantum mechanics      3
Action principle, quantum-mechanical      1 12
Action principle, Schwinger      101
Adamovsky, J.      206
Adiabatic switching hypothesis      31
Adjoint representation      104 112 119 121
Aitchison, I.J.R.      169
Alexandrou, C      206
Analytic continuation      175
Analytic continuation, generating functional, Green’s function      181
Analytic continuation, quantum field theory      175
Analytic continuation, quantum mechanics      175
Analytic continuation, Schrodinger equation      176 177
Analytical mechanics      1
Anderson, J.L.      101
Anderson, P.W.      171
asymptotic freedom      173
Auxiliary field      198
Auxiliary field, four-fermion interaction      176
Auxiliary field, Hamiltonian formalism      176 199 201
Auxiliary field, Lagrangian formalism      176 199 201
Bailin, D.      169
Balian, R.      169 172 173
Bargmann, V.      102
Baulieu, L.      240
Baym, G.      205
Becchi, C.      172
Berezin, F.A.      54 273
Billingsley, P.      240
Blankenbecler, R.      206
Bleecker, D.      169
Bloch equation      176 177
Bludman, S.      171 172
Bogoliubov, N.N.      52 100 101
Bohr quantization condition      1
Broken symmetry condition      152
Brosens, F.      206
Brout, R,      171
Brown, L.S.      102
BRST symmetry      172
Burton, W.K.      101
Canonical equations of motion      2
Canonical equations of motion, Hamilton      4
Cartesian coordinate system      2 45
Casher, A.      205
Charap, J.M.      100
Charge, conservation law      103 113 114 116 117 122 123
Charge, conserved      119
Charge, conserving      115
Charge, G-      123
Charge, group      122
Charge, total conserved G-      121
chemical potential      180 184
Chiral Dynamics      65 100
Christ, N.H.      54
Classical field theory      57
Coherent state representation      102
Coleman, S.      169
Composition law      1 2 14 20 22
Contravariant      57
Convergence in mean square      209 215
Convergence in probability      209 215
Convergence, Strong (almost sure, almost everywhere)      209 215
Convergence, Weak (in distribution)      209 215
Costa, C      101
Covariant      57
Covariant derivative      103—105 113—115 118 120 123 156
Current conservation      122
Current conservation law      114 116 117
Current conserved      119
Current conseved Noether      120
Current gauge      123
Current gauged matter      119 120 123
Current matter      123
Current total      120
Current total conserved G-      121
Current ungauged matter      119
Curvilinear coordinate system      2 45
Density matrix, canonical ensemble      176 177
Density matrix, grand canonical ensemble      180 184 185 202
Density matrix, relativistic quantum field theory      185
Devreese, J.T.      206
DeWitt, B.      101 170
Dirac, P.A.M.      51 53
Displacement operator      91 96
Donsker, M.D.      206
Dudley, R.M.      240
Edwards, S.F.      54 100
Ehrenfest theorem      3
Eikonal approximation      1
Eikonal equation      1
Electrodynamics, J.C. Maxwell      103 113 116
Electrodynamics, U(l) gauge group      104
Englert, F.      171
Equal time canonical commutation relations      23
Equal time canonical commutator      3
Equal-time canonical (anti-)commutators      74
Equation of motion, functional Fourier transform      79
Equation of motion, generating functional, Green’s function      55 73 77
Esposito, U.      101
Euler derivative      94
Euler — Lagrange equation of motion      3 4 8 9 58 74
External field      81
External field problem      73 80
Faddeev — Popov, determinant      104 130—132 159
Faddeev — Popov, determinant, R-gauge      162
Faddeev — Popov, first formula      128 133
Faddeev — Popov, ghost      128 133
Faddeev — Popov, ghost field      104 136 163
Faddeev — Popov, ghost Lagrangian density      104
Faddeev — Popov, ghost, covariant gauge      143
Faddeev — Popov, ghost, Landau gauge      140
Faddeev — Popov, method      104 128
Faddeev — Popov, second formula      105 128 134 135
Faddeev, L.D.      169 170 172—174
Fermion number integration      57
Fetter, A.L.      51 52 205
Feynman — Dyson expansion      55 72
Feynman, R.P.      52 53 170 205 206
Fleischer, W.      206
Fokker — Planck equation      210 223 240
Fokker — Planck equation, Non-Abelian gauge field      223 239
Fokker — Planck equation, Non-Abelian gauge field, covariant non-holonomic gauge fixing condition      210
Fokker — Planck equation, quantum field theory      229
Fokker — Planck equation, quantum field theory, probability distribution functional      230
Fokker — Planck equation, quantum mechanics      227
Fokker — Planck equation, quantum mechanics, probability distribution functional      228
Fokker — Planck equation, stationary solution      223
Four-dimensional transversality      127
Fourier analysis      1
Fradkin construction      175 184 185 202
Fradkin, E.S.      100 101 170 206
Frampton, P.H.      169
Freundlich, Y.      171
Friedrichs, K.O.      100
Fritzsch, H.      170
Frohlich, H.      206
Fugacity      180
Fujikawa, K.      171
Fukai, T.      240
Functional Fourier transform      56 78
Functional integration, momentum      2
Gadella, M.      54
Gauge field      103 105
Gauge field, Abelian      104 113 121—123
Gauge field, Abelian, U(l) neutral      122
Gauge field, electrodynamics, J.C. Maxwell      103
Gauge field, mass term, Higgs — Kibble mechanism      105
Gauge field, massive      106
Gauge field, massless      106
Gauge field, Non-Abelian      104 107 112 113 116 118 121—123 128
Gauge field, Non-Abelian, G-charged      122
Gauge field, spontaneous symmetry breaking      105 106
Gauge field, SU(2)-isospin      104
Gauge field, SU(3)-color      104
Gauge field, U(l)      104 113 115
Gauge field, universal coupling      104
Gauge field, Yang — Mills      104 116
Gauge fixing condition      104
Gauge group, color      125
Gauge group, isospin      124
Gauge group, SU(2)-isospin      104 113
Gauge group, SU(3)-color      113
Gauge group, U(l)      104
Gauge principle, Klein — Kaluza — Fock      116 170
Gauge principle, Sakurai      116 170
Gauge principle, Utiyama      116
Gauge principle, Utiyama — Kibble      173
Gauge principle, Weyl      103—105 113 115 116 118 150 154 169
Gauge principle, Weyl, spontaneous symmetry breaking      154
Gauge, axial      128 136
Gauge, covariant      128 136 141
Gauge, Landau      136 139 165
Gauge, R-      106 151 161
Gauge, t Hooft — Feynman      165
Gauge, unitarity      165
Gauge-fixing condition      128 130 136
Gauge-fixing condition, general linear      159
Gauge-fixing condition, generalized      128 134
Gauge-fixing condition, R-      161
Gaussian average      201
Gaussian average, functional      204
Gaussian average, one dimensional      202
Gaussian average, two dimensional      202
Gaussian method      199 201
Gaussian white noise      240
Gelfand, I.M.      100
Gell-Mann, M.      170
Generating functional, full Green’s function, interacting field      70
Generating functional, Green function      2 22 34
Generating functional, Green function and its connected part      34
Generating functional, Green’s function, covariant gauge      144
Generating functional, Green’s function, free field      68
Generating functional, Green’s function, R-gauge      166
Generating functional, matrix element of the time-ordered product      15 30
Generator, broken      105 106 150 152 154 155 157 158
Generator, canonical transformation      6
Generator, contact transformation      10
Generator, gauge transformation      239
Generator, group      108
Generator, unbroken      106 151 152 154 157
Geometrical mechanics      1
Geometrical optics      1
Georgi, H.      169 172
Gerlach, B.      206
Gerstein, I.S.      100
Gilmore, R.      169
Glashow, S.L.      170 172
Glauber, R.J.      102
Glimm, J.      53
Goldstein, H.      51
Goldstone, J.      171
Goldstone, theorem      105 150 151 153
Gomis, J.      173
Gottfried, K.      52
Gravitational field      173
Green’s function, connected part      34
Green’s function, Faddeev — Popov ghost, covariant gauge      144
Green’s function, Faddeev — Popov ghost, Landau gauge      141
Green’s function, gauge field, axial gauge      137
Green’s function, gauge field, covariant gauge      142
Green’s function, gauge field, Landau gauge      139
Green’s function, gauge field, matter field, and ghost field, R-gauge      163
Grosche, C.      54
Gross, D.J.      173
Gulyaev, Y.V.      54
Guralnik, G.S.      171
Hagen, C.R.      171
Hamilton — Jacobi equation      1
Hamiltonian density      59
Hamiltonian formalism, analytical mechanics and quantum mechanics      1 3
Han, M.Y.      170
Heisenberg      1
Heisenberg equation of motion      23
Hey, A.J.G.      169
Hibbs, A.R.      52 53 205 206
Hida Calculus      273
Higgs, P.W.      101 171
Higgs-Kibble mechanism      106 151 154 158 171
Honerkamp, J.      100
Hori, S.      101
Huang, K.      52
Hubbard, J.      206
Indices, Greek      58
Indices, Latin      58
Invariance, BRST      106
Invariance, exact G      105
Invariance, gauge      103 127 129 146 150
Invariance, gauge, integration measure      134
Invariance, gauge, local 10-parameter Poincare transformation      173
Invariance, global      103
Invariance, global G      105 118 120 123 150 151
Invariance, global G, spontaneously broken      154
Invariance, global SU(2)      116
Invariance, global SU(2), local extension      113
Invariance, global U(l)      113—115 122 123
Invariance, global U(l), local extension      113 116
Invariance, local      103
Invariance, local (U(l) or G)      123
Invariance, local G      105 118—120 123 150 154 158
Invariance, local G, hidden      158
Invariance, local G, manifest      158
Invariance, local SU(2)      116 124 126
Invariance, local SU(3)      125
Invariance, local U(l)      113—115 122
Invariance, scale      103
Invariance, translation      194
Itzykson, G      52 273
Jackiw, R.      100 102 170—172
Jacobian, coordinate transformation      2 45
Jaffe, A.      53
Johnson, K.      171
Jona-Lasinio, G.      171
Kadanoff, L.P.      205
Kaku, M.      174
Kappoor, A.K.      54
Karlin, S.      240
Khalatnikov, I.M.      100
Kibble, T.W.B.      171 173
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