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Авторизация |
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Поиск по указателям |
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Gitman D.M., Tyutin I.V. — Quantization of Fields with Constraints |
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Предметный указатель |
-transposition 269
action 5 171
Action effective 107 170
Action extended effective 174
Action minimum 175
Additional (supplementary) conditions 54 70
Algebra, 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 55
Canonical gauge 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 (, 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, (canonical) 55
Gauge, 70
Gauge, 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 14
Hamiltonian 17
Hamiltonian (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 288
Minimum field sector 175
Nonphysical variables 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 142 196
Physical variables 69
Physical variables 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 66
Special variables 36
Special variables 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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