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Àâòîðèçàöèÿ |
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Ïîèñê ïî óêàçàòåëÿì |
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Bailin D., Love A. — Introduction to Gauge Field Theory |
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Ïðåäìåòíûé óêàçàòåëü |
gauge 183—184 186
invariance 233
Abelian gauge field theory 110—111
Angular momentum tensor 23 26 30 37
Annihilation operators 39
anomalies 272
Anomalous dimensions 158—162
Anomalous magnetic moment, of electron 140—142
Asymmetric phase 338 340—341 343
Asymptotic behaviour 54—55
Asymptotic conditions 55
asymptotic freedom 147
Axial gauges 125 130
Axial U(1) symmetry 218
Axial vector current conservation 217
Axion 217
Axion, invisible 226
Axion, mass 225—256
Bare coupling constant 75
Bare Lagrangian, for gauge theory 132
Bare mass 75
Baryon number conservation 40
Baryon number violation, by colour triplet Higgs scalars 309
Bjorken limit 151
Bjorken scaling 155
Bottom quark mass, in grand unified theory 313
Boundary conditions, for path integrals 40—41
BRS transformations 346
Charge 19
Chiral theory 273
Chiral transformation 38
Chirality 191
Classical field 15 47 174
Classical field, as solution of the classical field equation 48
Classical field, relation to vacuum expectation value of field 47
Closed fermion loops 135
Coleman — Weinberg mechanism 212
Coleman — Weinberg transition 342
Colour 116
Complex scalar field theory 24 175
Conjugate momentum, in field theory 39
Connected Green functions 46
Connected Green functions, in momentum space 47
Conserved current 18—20
Continuation to Euclidean space, of vacuum amplitude 41
Continuation to imaginary time, for ground state amplitude 10—11
Counter term, Lagrangian 85
Counter terms 263
Counter terms for gauge theories 132
Covariant cut-off 79
Covariant derivative 185
Covariant derivative for Abelian gauge field 111
Covariant derivative for non-Abelian gauge fields 112 115 125
Covariant spin vector 27 33
Creation operators 39
Critical temperature 336 338—340
Curie temperature 172
Deep inelastic scattering 149 162
Deep inelastic scattering, moments of structure functions 162—163
Deep inelastic scattering, structure functions 150
Degree of divergence 77
Degree of divergence for Feynman diagrams with fermions 101—103
Degree of divergence for gauge theories 131
Derivative interactions 103
Derrick's theorem 194
Dilatation 37 38
Dimensional regularisation 79—81
Dimensional transmutation 212
Diquarks 301 303
Diquarks, masses 309
Dirac function, integral representation 44
Dirac equation 25
Dirac field 31
Dirac matrix identities, in dimensions 137 139
Divergences 17
Effective action 48 201—203
Effective action for free scalar field 48
Effective potential 49 200—212
Effective potential at finite temperature 313—318
Effective potential, expansion in terms of Green functions 50
Eigenstates, of the field operator 39
electric dipole moment 220
Electromagnetic current 31 216 218
Electron-positron annihilation, inclusive process 165—167
Electroweak theory 214 232
Electroweak theory at finite temperature 322—323
Energy-momentum tensor 23 35
Energy-momentum vector 22 27 35
Euclidean space, continuation of Feynman propagator 44
Euclidean space, continuation of vacuum amplitude 41
Euclidean space, Green functions 41
Euler — Lagrange equations 16—17 26 34 170
Faddeev — Popov ghosts 123—125
Faddeev — Popov Lagrangian 187 189
Faddeev — Popov procedure 119—123
Fermi coupling constant 214
Fermi statistics, at finite temperature 306
Fermion loops 105—106
Fermion mass matrix 190 192
Fermion mass terms 217
Fermion masses in electroweak theory 223 233
Fermion masses in grand unifield theory 294—297
Fermionic functional integration measure 273
Ferromagnet 172
Feynman diagrams 62—63
Feynman diagrams for free scalar field theory 45
Feynman gauge 126 140 261
Feynman integrals 81—85
Feynman integrals in dimensions 329
Feynman parameter 82—83 141
Feynman propagator for Dirac field 100
Feynman propagator for Faddeev — Popov ghosts 126
Feynman propagator for scalar field theory 43—44
Feynman propagator in momentum space for Dirac field 101 128
Feynman propagator in momentum space for scalar field theory 44
Feynman propagator, diagramatic representation of scalar propagator 46
Feynman rules 63 187
Feynman rules for theory 60
Feynman rules for electroweak counter terms 248—258
Feynman rules for electroweak gauge boson vertices 224—231
Feynman rules for electroweak gauge bosons 221 225—226
Feynman rules for electroweak ghost particles 222 224
Feynman rules for electroweak Goldstone bosons 222 226 228
Feynman rules for electroweak Higgs particle 222 226 228
Feynman rules for Faddeev — Popov ghosts 126 128
Feynman rules for fermion antiparticles 107—108
Feynman rules for fermion loops 105—106
Feynman rules for fermion propagators 104
Feynman rules for fermion-fermion scattering 107—108
Feynman rules for gauge field interactions 127—129
Feynman rules for momentum space 64
Feynman rules for quarks in electroweak theory 238 240
Feynman rules for S-matrix elements 70
Feynman rules for temperature Green functions 312
Feynman rules for Yukawa interactions 103—106
Feynman rules from counter terms 86
Field equations, for gauge field theories 114
Fine structure constant 142 232
Finite temperature effective potential 313—314
Finite temperature effective potential at one loop order 314—319 321 323
Free energy 315
Functional derivatives 3 13 40—41 48 122
Functional derivatives for fermions 99
Functional derivatives with respect to spinor sources 104
Functional expansion in terms of connected Green functions 46
Functional expansion in terms of Green functions 41
Functional expansion in terms of opi Green functions 48
Functional expansion of effective action 48
Functional expansion of vacuum amplitude 41
Gauge boson mass matrix 186
| Gauge invariance 170
Gauge invariance, Abelian 110
Gauge invariance, non-Abelian 113—114
Gauge invariant Lagrangian for Abelian gauge field 111
Gauge invariant Lagrangian for non-Abelian gauge fields 114
Gauge invariant Lagrangian of renormalised Lagrangian 131
Gauge parameter ( ) 289 346
Gauge transformation 24 30 34
Gauge-fixing Lagrangian 183 186
Gauge-fixing term 34 121 124—125
Gaussian integral 1
Gaussian integral for Grassmann variables 96—99
Gell-Mann matrices, normalisation 299
Generating functional for connected Green functions 46
Generating functional for Euclidean Green functions 41
Generating functional for Gauge theories 123—125
Generating functional for Green functions 40—41
Generating functional for spinor field theories 99
Generating functional in free scalar field theory 42—45
Global transformation 19 24 30
Goldstone boson 177 179—180 183 185 187—188 218 224
Goldstone modes 220 222
Gordon reduction 142
Grand unification scale 298 305—306
Grand unified theory 198 225 298
Grassmann variables 28—29 96 210
Grassmann variables, complex 98 123—124
Green functions 40
Green functions for Faddeev — Popov ghosts 136
Green functions for free scalar field theory 45—47
Green functions for gauge fields 133—135
Green functions for opi 66
Green functions for spinor field theories 99
Green functions high momentum behaviour 149
Green functions in Euclidean space 41
Green functions in momentum space 46
Green functions, connected 46
Green functions, inserted 157
Green functions, one-particle-irreducible 47—50
Green functions, unrenormalised 144
Ground state expectation values in quantum mechanics 11—14
Ground state expectation values in terms of ground state amplitude 14
Ground-state-to-ground-state amplitude, in quantum mechanics 8—11
Group generators, normalisation 114
Group theory factors 135 137 139
Group theory factors in renormalisation group equation 146
Hadronic weak current 252
Hamiltonian 22
Hamiltonian density 22 39 41
Heisenberg picture 5
Helicity 31 33 37
Higgs field 174 183 187—189 209
Higgs mechanism 180
Higgs mechanism in non-Abelian theories 185
Higgs model 180 207
Higgs model at finite temperature 334—336 340
Higgs scalar 337
Higgs scalar for electroweak breaking 309
Higgs scalar mass 342
Higgs scalar potential for SU(5) breaking 308
Higgs scalar, breaking SU(5) symmetry 307—308
Identical fermions, factors in scattering amplitudes 108
In and out fields 54—55
Infinities 75 79
Infrared divergence 83 139 142
instantons 212—213
Invariant amplitude, for fermion-fermion scattering 108
Klein — Gordon equation 21
Lagrange multiplier 34
Lagrange's equations 16
Lagrangian 15
Lagrangian density 15 41
Landau gauge 126 148—149 208 210
Lepto-quarks 301 303
Lepto-quarks, masses 309
Leptonic current 330
Light cone 152—153
Light cone coordinates 151—152
local gauge invariance 34 79
Logarithmic divergence 77
Loop expansion 201 207
Lorentz (gauge) condition 34—35 170 183
Lorentz transformation 23
Magnetic charge 200
Magnetic monopoles 193—200
Magnetisation 172
Mass-independent renormalisation schemes 91
Massless fermions, generating functional 106
Massless fermions, propagators 107
Matsubara frequencies for bosons 318
Matsubara frequencies for fermions 323
Maxwell's equations 17 33
Minimal subtraction (MS) 90 206
Minimal subtraction (MS) in gauge theory 133
Minimal subtraction (MS), MS scheme 91 206
Momentum scheme 92
Muon decay 249—252 285
Noether current 25 31 178
Noether's theorem 18—19
Non-Abelian gauge field theory 112—115
Non-abelian gauge symmetry 177
Non-Abelian gauge transformations 112—113
Normalisation factor, for generating, functional 42
On-mass-shell electrons 141
On-shell scheme 93
One-particle-irreducibility, of Green functions 47—50
Operator product expansion 152—153
Optical theorem 151
Parity 31 190—191
Partition function 315
Partition function as a path integral 317
Partition function for fermions 322—324
Partition function for free scalar field 317—320
Partition function for gauge adds 320—322
Path integrals for Grassmann variables 96—99
Path integrals for Grassmann variables in Minkowski space 98—100
Path integrals, Gaussian 1—4
Path integrals, over conjugate momentum 42
Peccei Quinn symmetry 223—224
Perturbation series, with fermions 104
Perturbation theory 60
Phase transformation 110
Phase transition, first order 339—341
Phase transition, second order 336
Physical renormalisation 206
Poincare transformation 21 27
Polarisation vectors of a massive vector field 171
Polarisation vectors, longitudinal 171
Pontryagin index 213—214
Prasad — Sommerfield solution 197
Projection operators, for gauge field propagators 117—118 126
Proton decay 309 313
Quadratic divergence 77
Quadratic divergence in gauge theory 133
Quantum chromodynamics (QCD) 116 192
quantum mechanics 51
Quarks 236
Radiative corrections to muon decay 285—288
Renormalisable field theory 75 169
Renormalisable interactions of fermions with scalars 102
Renormalisation 74—78
Renormalisation group coefficients 145—146
Renormalisation group equation 145
Renormalisation group equation for Wilson coefficients 157—158
Renormalisation group equation, solution of 146—147
Renormalisation scheme 88 90 260
Renormalisation, of theory 74—78 85
Renormalised coupling constant 74
Renormalised field 75 85
Renormalised Lagrangian, for gauge theories 131
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