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Gitman D.M., Tyutin I.V. — Quantization of Fields with Constraints
Gitman D.M., Tyutin I.V. — Quantization of Fields with Constraints

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Название: Quantization of Fields with Constraints

Авторы: Gitman D.M., Tyutin I.V.

Язык: en

Рубрика: Физика/Квантовая теория поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1991

Количество страниц: 291

Добавлена в каталог: 06.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$T_{\lambda}$-transposition      269
action      5 171
Action effective      107 170
Action extended effective      174
Action minimum      175
Additional (supplementary) conditions      54 70
Algebra, $\mathcal{F}$      73 265
Algebra, B      73 265
Algebra, closed      65
Algebra, Grassman      265
Algebra, open      65
Antibracket      182
Antifields      174
Berezin algebra (B-algebra)      73 266
Berezmian      94 274
BRST-charge      173 194
BRST-transformations      172 176 195
Canonical gauge $G^{(c)}$      55
Canonical gauge $G^{(c)}$ with (without) violation of equation of motion      56
Canonical transformations      19
Cauchy problem      45
Causal Green function      135 279
Classes of physical equivalent functions      47
Classes of physical equivalent functions, operators      145
Classes of physical equivalent functions, states      143
Classes of physical equivalent functions, trajectories      47
Classical B-theory      73
Classical B-theory, nonsingular      75
Classical B-theory, singular      75
Classical theory ($\mathcal{k}$, D)      45
Commutator Pauli — Jordan function      135 279
Conditions of physicity of functions in Hamiltonian formalism      51
Conditions of physicity of functions in Lagrangian formalism      68
Constraint surface      22
Constraints      8 21
Constraints in Hamiltonian formalism      16
Constraints in Lagrangian formalism      8 60
Constraints of canonical form      25
Constraints of special form      33
Constraints, equivalent      19 25
Constraints, first-class      25
Constraints, first-stage      16 22
Constraints, independent      76
Constraints, primary      16
Constraints, second-class      25
Constraints, secondary      22
Degeneracy      8 39
Degenerate theories      39 45
Derivative in B-algebra      272
Dipole function      138 280
Dirac bracket      29
Dirac bracket in B-algebra      76
Dirac bracket, generalized      34
Dirac hypothesis      53
Dirac quantization      82
Dirac quantization of theories with time-dependent constraints      230
Electrodynamics      113
Equivalence theorem      103
Equivalent Hamiltonians      19
Equivalent theories      47
Essential parameters      64
Even elements of B-algebra      266
Extended system of Hamiltonian equations      14
Extended system of Hamiltonian equations for the theory with higher derivatives      222
Extended system of Lagrangian equations      13
Extended system of Lagrangian equations for the theory with higher derivatives      221
Faddeev — Popov ghosts      111 156
Faddeev — Popov ghosts, trick      108
First-class function      25
Functional (path) integral      91
Functions of generating elements      266
Gange invariance      9 48 64
Gauge      48
Gauge fermion      173 176
Gauge identities      61 64
Gauge theories      9 64
Gauge theories of special form      201
Gauge theories, irreducible      175
Gauge theories, reducible      175
Gauge transformations      9 64
Gauge, $G^(c)$ (canonical)      55
Gauge, $G^(k)$      70
Gauge, $G^(w)$      53 58
Gauge, axial      157
Gauge, Coulomb      116 153
Gauge, minimum      48
Gauge, rigid      48
Gaussian functional      91
Generalized commutator      83
Generating elements of B-algebra      266
Generating functional      86
Generating functional for theories with higher derivatives      226
Generating functional for theories with time-dependent constraints      238
Generating functional of quantum electrodynamics      125 126 133
Generating functional of theories with Yang — Mills fields      156 158
Generator of BRST transformations      172 176 195
Generators      61 264
Generators of gauge transformations      62
Generators, independent      61
Generators, trivial      62
Ghost charge      174
Ghost number      174
Ghosts      106 111 156
Grassman parity      266
Gravitation      159
Hamiltonian $H*$      14
Hamiltonian $H^{(1)}$      17
Hamiltonian $H_{ph}$ (physical)      31 38
Hamiltonian H      17
Hamiltonian of QED in the Coulomb gauge      119
Hamiltonian system of equations with primary constraints      18
Hamiltonization      5
Hamiltonlan formulation      3
hessian      6 219
Hessian matrix      6
Imposing of a gauge      48
In-limit      135
Indefinite metric      141
Independent identities      62
Initial date      45 73
Instantaneous state of the trajectory      45
Integral in B-algebra      273
Integral in B-algebra, Gaussian      275
Jacobi identity      29 77 149 277
Kaellen — Lehman representation      135
Kugo — Ojima method      171
Lagrangian field theories      9
Lagrangian quantization      170
Lagrangian theories      5
Lagrangian theories with (without) higher derivatives      217 6
Left derivative      272
Local functional      9
Master equation      174
Matrix $E^{AB}$      288
Minimum field sector      175
Nonphysical variables $\mathcal{Q}$      37 51
Nonsingular theories      6 75
Normal form of a supermatrix      268
Odd elements of B-algebra      266
Operator formulation      4 81
Operator of middle position      253
Operator of spin      252
Orbit of a group      71 108
P-transposition      270
Parity      266
Path (functional) integral      91
Pauli — Lubanslri spin vector      252
Physical function      46
Physical functional      46 68
Physical Hamiltonian      31 38
Physical operator      144
Physical sector of a theory      47 196
Physical state space $R_{ph}$      142 196
Physical variables $\mathcal{k}$      69
Physical variables $\omega$      50
Physically equivalent theories      47
Physically equivalent, generating functionals      103
Poisson bracket      288
Poisson bracket in B-algebra      76
Poisson bracket, generalized      277
Primary solvable (expressible) velocities      16
Primary solvable (expressible) velocities, unsolvable (unexpressible) velocities      16
Proposition 1      30
Proposition 2      36
Proposition 3      41
Proposition 4      61
Quantization      3
Quantization, canonical      4 81
Quantization, Lagrangian      170
Quantum electrodynamics      113 127
Quasi-Gaussian functional      92
Quotient space      146 199
Relativistic particle      239
Right derivative      272
Rigid set of functionals      67
Singular B-theory      75
Singular functions      279
Singular theory      6
Singular theory with higher derivatives      219
Special variables $(k, \xi)$      66
Special variables $(\omega, Q, \Omega)$      36
Special variables $(\omega, \Omega)$      30
Spinning particle      247
Superdeterminant      271
Supergauge transformations      247
Supermatrices      268
Supertrace      271
Supplementary (additional) conditions      53 70
Theories of special form      201
Theories with first class constraints      36
Theories with higher derivatives      6 217
Theories with second class constraints      27
Theories with time-dependent Lagrangian and constraints      229
Theory, local (in time)      9
Trajectory, genuine      45
Trajectory, genuine, equivalent      47
Trajectory, genuine, genuine quantum      84
Trajectory, genuine, intersecting      46
Variational derivatives      10
Variational derivatives with fixed time      10
Variational Principle      5
Variational principle for constrained system      14 18
Ward identities      108 134 189
Yang — Mills fields      148
Yang — Mills theory with higher derivatives      227
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