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| Ryder L.H. — Quantum Field Theory |
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| Предметный указатель |
O(3) group space 401
One-loop renormalization of QED 337ff
One-loop renormalization of Yang-Mills theory 353ff
One-particle irreducible (1PI) graph 256
One-particle reducible graph 256
Overlapping divergences 321 349
Parallel transport 114
Particle interpretation of Dirac equation 45
Particle interpretation of Klein — Gordon equation 29
Particle number operator 130
Partition function 262
Path integral quantization and canonical formalism 241
Path integral quantization of gauge fields 240ff
Path integral quantization of scalar fields 182ff
Path integral quantization of spinor fields 210ff
Path-integral formulation of quantum mechanics 154ff
Pauli matrices 34 35
Pauli spinor 37 38
Pauli — Lubanski pseudovector 62
Pauli — Villars regularisation 313 330
PCAC 293
Perturbation theory 161ff 200ff
Perturbation theory, dimensional regularisation 313ff
Perturbation theory, divergences in perturbation theory 308ff
Perturbation theory, Feynman rules 207
Perturbation theory, four-point function 204ff
Perturbation theory, generating functional 200ff
Perturbation theory, renormalisation of perturbation theory 318ff
Perturbation theory, two-point function 202—204
Photino 426
Photon 2 144
Photon propagator 240—245
Photon timelike 147
Photon transverse 147
Photon, longitudinal 147
Photon-photon scattering 332—333
Pion 3 4
Pion as Goldstone boson 293
Pion decay 20
Pion-nucleon scattering 224ff
Poincare group (fundamental group) 103 104
Poincare group (inhomogeneous Lorentz group) 40 55ff 77
Poincare group (inhomogeneous Lorentz group), supersymmetric extension of Poincare group 453
Poincare lemma 73
Pontryagin index 417
Positive frequency solutions 129
Power counting 376
Prediagram 229
Principle of least action 80
Proca equations 64—69
Proca equations, quantisation 150—152
Projection operators for positive and negative energy states 51
Propagator 216
Propagator for Dirac field 215
Propagator for non-Abelian gauge field 252 254
Propagator for non-relativistic particle 154 161
Propagator for scalar field 189 216
Propagator, complete 256 332
Propagator, photon 240—245
q-number 159
QCD 4 22—23 125
QCD, vacuum polarisation in QCD 355—358
QED, asymptotic behaviour of QED 345—347
QED, divergences and dimensional regularisation of QED 329—337
QED, one-loop renormalisation of QED 337—343
QED, propagators and gauge conditions 240—245
QED, renormalisability 347—353
QED, Ward — Takahashi identity 263—270
QFD (quantum flavour dynamics) 366
Quantisation, canonical, of electromagnetic field 140—150
Quantisation, canonical, of scaler fields 126—137
Quantisation, canonical, of spinor fields 137—140
Quantisation, canonical, of vector fields 150—152
Quantisation, path integral see path in quantisation
Quantum chromodynamics see QCD
Quantum electrodynamics see QED
Quantum tunneling 420—424
Quark 4
Quark model 4 9-12
Quark self-energy 354
Quark, confinement 22 124
R 21
R gauge 376
R matrix (reaction matrix) 276
Radiation gauge 142—145
Reduction formula 223 239
Regularisation see Dimensional regularisation Pauli-Villars
Relativity, general theory of relativity 2
Renormalisability of QED 347—353
Renormalisability of Yang-Mills theories 276 302ff 375ff
Renormalisation 204 308ff
Renormalisation constants 347—348
Renormalisation constants, wave function 320
Renormalisation group 324ff
Renormalisation group, equation 325
Renormalisation of  theory 318ff
Renormalisation of Yang-Mills theories 362ff
Renormalisation, multiplicative 352
Renormalisation, of spontaneously broken Yang-Mills theories 375ff
Renormalisation, one-loop, of QED 337ff
Renormalised coupling constant 318
Renormalised mass 204 256 318
Resonance 8
Riemann-Christoffel tensor 119
Right derivative 211
Rotation group 30ff
Rotation group generators 31
Running coupling constant 327
Rutherford formula 172
S matrix 166 217ff 239
Saddle-point method 380
Salam 4 see
Scalar field propagator 189
Scalar field, canonical quantisation 126—137
Scalar field, complex 90—97
Scalar field, Feynman rules 189 207 231—232
Scalar field, generating functional 182ff
| Scalar field, path integral quantisation 182ff
Scalar field, real 81-90
Scalar photons 147
Scaling, behaviour of Green’s function 326
Scaling, Bjorken 17
Scattering amplitude 165
Scattering cross section 232ff
Schroedinger equation 28
Schroedinger equation, Green’s function for 163—164
screening 347
Second quantisation 126
Selectron 426
Self-energy operator 255ff
Self-energy operator, electron 329ff
Self-energy operator, gluon 355
Self-energy operator, photon 331
Self-energy operator, quark 354ff
Sine-Gordon equation 391
Sine-Gordon kink 391—395
Skeleton diagram 348
SL(2,C) and Lorentz group 36ff
slash notation 52
Slavnov — Taylor identity 273ff 281 363
Solitary wave (soliton) 390 391 424
Spacelike interval 25
Spacelike momentum 56
Spin and statistics 133 153
Spin operator 55
Spinor 33 77
Spinor field, Feynman rules 231—232
Spinor, Dirac 49 51 427ff
Spinor, dotted and undotted 39 434
Spinor, four-spinor 41
Spinor, Majorana 427
Spinor, Pauli 37 39
Spinor, Weyl 42 427
Spontaneous symmetry breaking 282ff
Spontaneous symmetry breaking of gauge theories 293ff
Statistical mechanics and field theory 263 281
Stokes’ formula 73
Strong asymptotic condition 221
Strong interaction 3—4 7
Structure constants 113
Structure constants of SU(3) 123
Structure factor 17
SU(2) and O(3) 30ff 77 400—401
SU(2) and rotation group 30ff 77
SU(2), structure constants 113
SU(3) 3 13—14 122—125
SU(4) 15
Summation convention 25—26
Superconductivity 296—298 307 397
Superfields 463 464ff
Superfields, chiral 464 467ff
Supergravity 473
Superspace 459ff
Supersymmetry 426ff
Supersymmetry, mass-shell realisation 452
Sutherland paradox 368
Symmetry factor 202 206
Tau ( ) lepton 7 299
Tau-vacua 420—424
Thomas precession 37
Time ordering operator 178
Timelike interval 25
Timelike momentum 56
Timelike photons 147
Trace formulae 52
Transverse photons 147
Transverse photons propagator 243
Tree approximation 382
Two slit experiment 98 155
Two-point Function 202
U gauge 295 377
U(1) 92
U(1), gauge transformations 96
U(1), spontaneous breaking 294
Uehling term 342
Unitarity 276
Unitarity and ghosts 276ff 281
Vacuum graph (diagram) 202 206
Vacuum polarisation 331
Vacuum polarisation in QCD 355ff
Vacuum, degenerate 283
Vacuum, expectation value 284 378
Vacuum-vacuum transition amplitude 174—175 182—184
Vector potential 65
Vertex function 255 258 286
Vertex function proper 263
Vortex line 395ff
W boson 5 305
Ward identity 255 263ff 281 338 349 366
Ward identity, axial 366
Ward identity, generalised 255
Ward-Takahashi identity 263ff 281 349—350
Weak asymptotic condition 221
Weak hypercharge 300
Weak interaction 4 5
Weak isospin 24 299
Weinberg 4
Weinberg angle 303
Weinberg — Salam model 298ff 411
Weinberg — Salam theory 4 24 282 287 307
Weinberg's theorem 311 388
Wess-Zumino model 440 470ff
Weyl equation 42
Wick’s theorem 196
WKB approximation 420
Wu-Yang construction 404—406 424
Yang-Mills field see non-Abelian gauge fields
Yukawa 3
Yukawa, potential 237
Z boson 5 305
‘In’ and ‘out’ states 217
’t Hooft 282
’t Hooft — Polyakov monopole 110 406ff 424
’t Hooft, gauges 375—377 388—389
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