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| Ïîèñê ïî óêàçàòåëÿì |
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| Ryder L.H. — Quantum Field Theory |
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| Ïðåäìåòíûé óêàçàòåëü |
  annihilation 20
action 160
Action, effective 160
Action, principle of least 80
Adiabatic hypothesis 165
Adjoint representation of group 113
Anderson 287
Annihilation experiments 20
Annihilation operator 131
Anomalous dimensions 326
Anomaly ABJ 368
Anomaly chiral (axial, triangle) 366—374 384
Anomaly, cancellation of anomaly 373—374
Anticommutation relation 139 455
Antiparticles 42—46 140
Asymptotic condition 221
asymptotic freedom 328
Asymptotic freedom of Yang — Mills theories 353—362 389
Auxilliary fields 444 450
Baker — Campbell — Hausdorff formula 199 222 460
Bare Lagrangian 324
Baryon number 6
BCS theory 297
Becchi — Rouet — Stora transformation 270—272
Bianchi identity 76 121
Bilinear Dirac quantities 46—48
Bohm — Aharonov effect 98—105 125
Boundary operator 70
Brouwer degree 410 418
c-number 159
c-number, anticommuting 210
Cabibbo angle 23
Callan — Symanzik equation 329 388
Casimir invariants 60 63
Chain 70
Charm 8
Chiral anomaly 366—374 389
Chirality 48
Coleman 288 379
Colour 4 18—22 121—124
Connected diagram 207
Connected diagram, generating functional for connected diagram 207—210
Connection coefficient 116
Connection form 76
Contravariant vector 25
Coset 290
Coulomb potential, modification of Coulomb potential 342
Coulomb scattering 170—172
Counter-terms 321—324
Covariant derivative 95 115
Covariant derivative in Weinberg-Salam model 300 301
Covariant vector 25
CP invariance, violation of CP invariance 422
CPT theorem 429
Creation operator 131
Delta functional 248
Derivative coupling 238
Differential form 70 78
Differential geometry 69—76
Dimensional regularization of  theory 313—318 388
Dimensional regularization of QED 329—37 388
Dirac equation 29—42 77
Dirac equation, bilinear expressions 46—48
Dirac equation, electron magnetic moment 52—55
Dirac equation, negative energy states 44—45 138
Dirac equation, non-relativistic limit 52—55
Dirac field quantisation 137—140
Dirac field, qenerating functional for Dirac field 214
Dirac matrices 46-52
Dirac matrices in d dimensions 333
Dirac matrices, chiral representation 48 430
Dirac matrices, slash notation 52
Dirac matrices, standard representation 48
Dirac monopole 402—406 424
Dirac monopole quantisation condition 403
Dirac sea 45
Disconnected graph 207
Divergences in theory 308—313
Divergences in QED 329—337
Divergences, infrared 308
Divergences, overlapping 321 349
Divergences, primitive 311
Divergences, superticial degree of divergences 309
Divergences, ultraviolet 309
Domain wall 306
Dotted and undotted spinors 39 434
Dual tensor 67
Duality transformation 74
d’Alembertian operator 27 73
effective Lagrangian 250 264
Effective potential 377—380 389
Effective potential, loop expansion of effective potential 380—382
Einstein 2
Einstein, field equations 26 88
Electromagnetic field quantisation 140—150 240—245
Electromagnetic field tensor 65 95
Electromagnetic interaction 5 305
Energy-momentum tensor 85 90
Energy-momentum tensor, canonical 88 125
Energy-momentum tensor, symmetric 88
Equal-time commutation relations 128 136
Euclidean group 63
Euclidean space 185
Euler — Langrange equation 84
Euler — Maseheroni constant 314
Exterior derivative operator 72
Exterior derivative, adjoint 74
Faddeev — Popov ghost 250
Faddeev — Popov technique 245—254 281
Faraday 2-form 75
Fermi 4
Fermi Golden Rule 234
Fermi theory of weak interactions 4 312
Fermion loop 217
ferromagnetism 283—284 286
Feynman formula 315
Feynman gauge 146 243 377
Feynman propagator 184—186 242 243
Feynman rules for scalar field 189 207 231—232
Feynman rules for spinor field 231—232
Feynman rules in axial gauge 254
Feynman rules in Lorentz gauge 250—253
Feynman rules in non-Abelian gauge theories 252—253
Feynman rules in non-relativistic quantum mechanics 166 167 170
Field quantization, canonical 126—152
Field quantization, path-integral 182—217 240—281
Fierz rearrangement formula 444—445
Fixed points 327
Flavour 122
Flavour, number of flavours 357
Form factor 16
Four-point function 204—206
Four-vector potential 65 94
Functional differentiation 173—174
Functional differentiation and fermions 210
Functional integral 159 172
Functional integration 186—188
Functional integration and fermions 210—217
Fundamental group 103 104
Furry’s theorem 332 350
Gauge fields, geometry of gauge fields 112—124
Gauge fields, ghost coupling 252
Gauge fields, masslessness of gauge fields 97 110
Gauge fields, matter coupling 253
Gauge fields, non-Abelian 2 105 118 241 245—254
Gauge fields, path-integral quantisation 240ff
Gauge fields, propagator 252 254
Gauge fields, self-coupling vertices 253
Gauge fields, spontaneous symmetry breaking 293ff
Gauge invariance 97
| Gauge principle 79 125
Gauge transformation 66
Gauge transformation of first kind 91 106
Gauge transformation of potential 116
Gauge transformation of second kind 93
Gauge transformation, global 93 284
Gauge transformation, local 93 294
Gauge, Feynman 146 243 377
Gauge, Landau 246 377
Gauge, pure 396 417
Gauge, R 376
Gauge, U 295 377
Gauge, ’t Hooft 375—377
Gauge-fixing term 146 242—243 250
Gaussian Integrals 179
Gell — Mann — Nishijima relation 14 15 300
General relativity 88 109 117 119 121
Generating functional 182ff 255
Generating functional for theory 200ff
Generating functional for connected diagrams 207ff
Generating functional for Dirac field 214
Generating functional for interacting fields 196ff
Generating functional, normalised 191 202
Generation problem 374
Generations of leptons 299
Ghost field 241 250 253 281
Ghost field and unitarity 276ff 281
Ghost field propagator 252
Ghost field, gauge field coupling 252
Glashow 4 282
Gluon 4 22 124
Goldstone 282 307
Goldstone boson 286 287 293 294
Goldstone theorem 287—93 306
Graded Lie algebra 458
Grand Unified Theory (GUT) 5 6 427
Grassmann algebra 210 214 239
Grassmann quantities 433 454
Gravitation 2
Gravitational field 2
Gravitational radiation 2
Graviton 2
Green’s function for free scalar particle 189ff 255
Green’s function for Schrodinger equation 164
Green’s function, advanced and retarded 219
Green’s function, connected 255
Green’s function, generating functional for Green’s function 189ff
Gupta — Bleuler formalism 150 294
Hausdorff formula 199 222 460
Hawking effect 223(f)
Hedgehog solution 407
Helicity 42
Higgs 282
Higgs field 301
Higgs phenomenon 294ff 307 397
High temperature restoration of symmetry 306 307
Hodge star operator 74
Homotopic paths 103
Homotopy group 104 125
Homotopy group, first 104 399
Homotopy group, second 410
Homotopy group, third 414
Huygens’ principle 155
Inelastic scattering 16—17
Instanton 414ff 425
Interacting fields, generating functional for interacting fields 196ff
Invariant function  136
Isospin 13 105 111
Isospinor 113
Jacobi identity 113
Jets 20 22
Kink, sine-Gordon 391ff
Klein — Gordon equation 27ff
Klein — Gordon field 126ff
Klein — Gordon operator 218
Lamb shift 342
Landau gauge 243 377
Landau singularity 346
Landau-Ginzburg free energy 297 397
Laplacian operator 73
Least action, principle of 80
Left derivative 210
Legendre transformation 258
Legendre transformation, geometrical interpretation 260—262
Legendre transformation, thermodynamic analogy 262—263 281
Lepton 6
Lepton generations 299
Lepton number 6
Lepton-hadron symmetry 374
Lie algebra 57 63
Lie algebra, graded 458
Lie group 31
Lightlike interval 25
Lightlike particles 63
Little group 61
London equation 297
Longitudinal photons 147
Loop expansion 317—318 380—382
Loop fermion 217
Loop ghost 280
Lorentz formula 98
Lorentz gauge 66 141
Lorentz gauge quantisation 145ff
Lorentz gauge, Feynman rules in Lorentz gauge 250ff
Lorentz group 36ff 77 427ff
Lorentz group, boost matrix 36—37
Lorentz group, generators 37 57—59
Lorentz group, inhomogeneous 40 56
Lorentz group, Lie algebra 57—59 427—428
LSZ condition 221
Magnetic flux 396—7
Magnetic moment, anomalous 343—345 388
Magnetic moment, electron 1 52—55
Magnetic moment, muon 345 388—389
Magnetic monopole (charge) 110
Magnetic monopole, Dirac 402ff
Magnetic monopole, ’t Hooft — Polyakov 406ff
Majorana condition 435
Majorana condition, spinor 429
Mandelstam variables 316
Mass and Poincare group 56 60
Mass, neutrino 42
Mass, physical (renormalised) 204 257
Mass, zero limit 63—64
Maxwell equations 64ff 69ff 96 110 121
Meissner effect 297—298
Metric tensor 26
Metric tensor in spinor space 432
Muon, magnetic moment 345 388—389
n-point function 191 255
n-point function, irreducible 209
Nambu 282
Negative energy in Dirac equation 45 138
Negative energy in Klein-Gordon equation 29
Neutral current process 305
Neutrino mass 42
Nielsen — Olesen flux line 398—399
Noether’s theorem 85—87 125
Non-Abelian gauge fields (Yang-Mills fields) 2 105 118 241 245—254
Non-Abelian gauge fields, asymptotic freedom of non-Abelian gauge fields 353—362 389
Non-Abelian gauge fields, Faddeev — Popov method 245—254
Non-Abelian gauge fields, renormalisability 276
Non-Abelian gauge fields, renormalisation of non-Abelian gauge fields 302ff 375ff
Normal ordering 132 145
Normalisation of generating functional 191 202
Normalisation, covariant 133
Normalisation, non-covariant 133
Null interval 25
Number operator 130
O(3) 30ff
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