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Электронная библиотека Попечительского совета
механико-математического факультета
Московского государственного университета
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| Konopleva N.P., Popov V.N. - Gauge Fields |
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| Предметный указатель |
Affine connection 34 114
asymptotic freedom 36
Base (of a fiber space) 18-19 98
Cabibbo angle 45
Characteristic classes 132
Charm 36 46
Charmonium 36
Chern classes 132-135
Chiral symmetry 38
COLOR 36
confinement 36
Connection coefficients 4-9 11 21 110
Connection coefficients of a fiber space 116-117
Connection coefficients, gauge fields as 112
Connection coefficients, nonsymmetric 101-102
Connection forms 110
Conservation laws in general relativity 90
Conservation laws in isoperimetric problems 83
Conservation laws, for electrodynamics of a medium 197
Conservation laws, integral 97 91-99 107
Conservation laws, proper 63
Conservation laws, strong 19 93-94 63
Conservation laws, weak 19 63
Covariant derivative 21 29 33 117-118
Currents in Noether's first theorem 97
Currents, anomalous 133
Currents, improper 93-94 98
de Sitter group 86 93
Defects (In a medium) 129-132
Diagrammatic technique, for a real scalar field 183-187
Diagrammatic technique, for the gravitational field 220-223
Diagrammatic technique, for Yang - Hills fields 204-207 211-213
Diagrammatic technique, in quantum electrodynamics 199
Differential forms 105
Dual models 37
Electrodynamics of a medium 153-160
Embedding 99 149-150
Energy-momentum tensor, for electrodynamics 156-160
Energy-momentum tensor, of a gauge field 148
Equivalence, principle of 6
Erlanger Programm 14
Evolution operator 173
Exterior derivative 106
Exterior product 105-106
Extremal 57
Faddeev model 235-239
Fiber 10 18-19 98
Fiber space 3-4 10 17 19 98 114
Fiber space, associated 114
Fiber space, connection coefficients of 116-117
Fiber space, covariant derivatives in 117-118
Fiber space, curvature tensor of 118-119
Fiber space, holonomy group of 121-122
Fiber space, principal 114
Fiber space, tangent 31
Force, concept of 12
Galilean group 12
Gauge fields and the structure of space-time 139-148
Gauge fields, classification of 120-122 132-139
Gauge fields, concept of 2 9
Gauge fields, motion of particles in 148-149
Gauge fields, non-Abelian 36
Gauge fields, quantization of 190
Gauge invariance, local 2-3 8 21
Gauge transformations 7
General covariant transformations 12 15
General relativity 84-95
Generating functional 180 193 198
Geodesics 97-98
Geometrodynamics 102-103
Geons 103
Gluons 36 48
Goldstone model 240
Gravitation, as a gauge theory 31-34 103-104 145-148
Gravitation, as a gauge theory in strong interactions 41
Gravitation, as a gauge theory, quantum theory of 214-231
Green's functions 180-183 193 198-201 203 210-213
Group 1
Group, transitive 98
Harmonicity conditions 216
Higgs mechanism 44-49 80-81 232
Holonomy group 99 120-129
Homogeneous space 14
Homotopy group 120 130
Horizontal paths 116
Inertial system 12 97-98
instantons 27-28 100 135-137 148
Interactions, geometrization of 3-4 15-18 97
Interactions, hierarchy of 43-44 99
Isoperimetric problems 76-80
Isoperimetric problems, conservation laws in 83
Isospin 9
Isospin invariance, local 9-10 21
Killing vector 86
Kinks 138
Lagrangian derivative 57
Lagrangians, construction of 65-67 73-76
| Lie derivative 85-86
Lorentz group 12
Mass generation 80-83 232
Mass splittings 43-44
Maxwell's equations 106-107
Mechanical systems, canonical quantization of 172-173
Mechanical systems, Hamiltonian formalism for 166-172
Mechanical systems, path integral for 173-178
Minkowski space 11
Mixing angle 45
Monopoles, magnetic 26-27 133-135 248
Neutral currents 45 234-235
Noether's identities, and conservation laws 68-70
Noether's identities, for electrodynamics 63
Noether's theorems 57-63
Noether's theorems, generalized 76-78
Noether's theorems, inverse 71-72
Notophs 88
Ordered media 129-132
Path integral in quantum electrodynamics 195-200
Path integral in quantum field theory 179-180 187-188
Path integral, for gauge fields 191-194
Path integral, for simple mechanical systems 173-176
Path integral, for systems with constraints 176-178
Path integral, for the gravitational field 217-219 228-231
Path integral, for Yang - Mills fields 202 206-211
Perturbation theory in quantum electrodynamics 198-199
Perturbation theory, for a real scalar field 182-183
Perturbation theory, for gauge fields 193-194
Perturbation theory, for the gravitational field 219
Perturbation theory, for Yang - Mills fields 203-207
Pfaffian derivatives 105
Pfaffian forms 105
Poincare group 12 86 95
Poincare group for a fiber space 122
Poisson bracket 170-172
Principal forms 109
Quantization, of Boss and Fermi fields 188
Quantization, of gauge fields 190
Quantization, of mechanical systems 172-173
Quantization, of the electromagnetic field 197
Quantization, of the gravitational field 214 224
Quantization, of Yang - Mills fields 202 208-209
Quantum electrodynamics 194-201
Quarks 35-36 48
Reggeism 36-37
Regular representation 54
Relativity, principle of 11-12
Renormalizability 43-44 235
Riemannian space 11 14
Riemannian space, groups of motions of 86
Sakurai's theory 34-35
Self-action 100
Sine - Gordon equation 138
Solitons 100 137-139 146
Spontaneous symmetry breaking 44-45 80-81 232
Stability, topological 130
strings 37
Strong interactions, gauge theories of 34-36
Strong interactions, universality of 39-41
Structure equations 110-112
SU(3) symmetry 35
Superconductivity 45
Supersymmetry 45
Supplementary conditions 53 70-71
Symmetries, algebraic 37-38 43
Symmetries, dynamical 37-38
Symmetry breaking 8
Symmetry group 1
Tachyons 240
Tangent bundle 98 114
Tensor dominance 41
Test body 16
Tetrads 31
Torsion 101-102
Tunneling (between vacua) 137
Unified theories 20 45-46 98-103 150-153 231-239
Universality, of strong interactions 39-41
Universality, of weak interactions 41-43
Utiyama's theory 28-33
Vector dominance 39-41
Vertical vectors 115
Vortices 130-131
Vortices, quantum 243-249
Ward identity 200
Weak interactions, universality of 41-43
Weinberg angle 45
Weinberg - Salam model 43 45 232-235
Weyl transformations 41
Wick's theorem 182
Yang - Mills equations 23 100
Yang - Mills equations with a point source 125-127
Yang - Mills equations, instanton solutions of 27-28
Yang - Mills equations, monopole solutions of 26-27 133-134
Yang - Mills equations, spherically symmetric free-field solutions of 23-26
Yang - Mills field 21-22
Yang - Mills field, quantum theory of 201-213
Zero-charge problem 36
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