Mandl F., Shaw G. — Quantum field theory :: Электронная библиотека попечительского совета мехмата МГУ

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Mandl F., Shaw G. — Quantum field theory

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Название: Quantum field theory

Авторы: Mandl F., Shaw G.

Аннотация:

Consists of three main objectives: to explain the basic physics and formalism of quantum field theory, to make readers totally proficient in theory calculations using Feynman diagrams, to introduce gauge theories which play a major role in elementary particle physics. This revision contains developments of W and Z bosons and their implications, updated references and an improved treatment of dimensional regularization.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1984

Количество страниц: 354

Добавлена в каталог: 10.02.2006

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Предметный указатель

${W}^{\pm}$ boson      237 272
${W}^{\pm}$ boson, decay      254
${W}^{\pm}$ boson, mass      239 301—302
${W}^{\pm}$ boson, production      239 322
${Z}^{0}$ boson      257 272
${Z}^{0}$ boson, decay      318 321 325 326
${Z}^{0}$ boson, mass      258 301—302
${Z}^{0}$ boson, production      257 317—321
't Hooft gauge      288
Abelian      265
absorption operator      8 62 68 87
Adiabatic hypothesis      102 192
Angular momentum, conservation      37—40
Angular momentum, of a spinor field      65
Annihilation operator      8 45 see
Anti-particle      49—50 70—71
Bare particle      102 117 176
Basic vertex part      108
Bhabha scattering      116 150
Bilinear covariants      335 339
Bloch — Nordsieck theorem      170 171
Bose — Einstein statistics      9 72—73
Branching ratio      246
Bremsstrahlung      165
Canonical quantization      30—33
Charge, conjugation      58 94
Charge, conservation      36
Charge, operator      36 49 65 69
Charge, renormalization      186 191 194 196—198 213 214
Chiral phase transformations      80
Coherent photon states      10 25
Commutation relations, canonical      32
Commutation relations, covariant      50
Commutation relations, equal-time      33
Compton scattering      122 153 180
Conjugate field      31
Conservation laws, angular momentum      37—40
Conservation laws, derivation from symmetries      33
Conservation laws, electric charge      36 49 262
Conservation laws, energy-momentum      37—40
Conservation laws, lepton numbers      132 240 294
Continuity equation      34
Contraction, identities of gamma matrices      329
Contraction, of field operators      104
Coulomb gauge      3
Coulomb scattering      162
Coulomb scattering, electron polarization in      163
Counterterm      190 213
Covariant derivative      263 269 270 290
Creation operator      8 45 62 68 87
Cross-section, general formula for      138
Current, charged      257 266
Current, conserved      35 82 92 262
Current, electromagnetic      49 65 266
Current, leptonic      237 266
Current, neutral      257 266 272
Current, weak, hypercharge      267
Current, weak, isospin      266
Decay of ${W}^{\pm}$ boson      254
Decay of ${Z}^{0}$ boson      318 321 325 326
Decay of Higgs particle      325
Decay of muon      247 259
Decay of tauon      253
Decay rates, general formula for      245
Decay width      246
Destruction operator      see “Absorption operator”
Dimensional regularization      222 226
Dirac equation      63 327
Dirac equation, gamma matrices      327
Dirac equation, gamma matrices, anticommutation relations      328
Dirac equation, gamma matrices, contraction identities      329
Dirac equation, gamma matrices, Dirac — Pauli representation      336
Dirac equation, gamma matrices, Majorana representation      70 338
Dirac equation, gamma matrices, trace theorems      329
Dirac equation, plane wave solutions      331
Dirac equation, projection operators, energy      332
Dirac equation, projection operators, helicity      333
Dirac equation, projection operators, spin      334
Dirac equation, relativistic properties      334 339
Dirac equation, spin, matrices      328
Dirac equation, spin, operator      70
Dirac equation, spin, summations      141
Electric dipole approximation      10 19
Electro-weak theory      see “Standard electro-weak theory”
Electron-electron scattering      113 125 173
Electron-muon scattering      172
Electron-positron annihilation, ${W}^{\pm}$ pair production      322
Electron-positron annihilation, ${Z}^{0}$ production      317—321
Electron-positron annihilation, Higgs particle production      323—325
Electron-positron annihilation, lepton pair production      146 315—320
Electron-positron annihilation, lepton pair production, asymmetry in      317
Electron-positron scattering      116 150
Electron-proton scattering      172
Energy projection operators      332
Energy-momentum conservation      37—40
External, field      159
External, line      76
Fermi coupling constant      248 252 349
Fermi — Dirac statistics      63 72—73
Feynman amplitude      122 129
Feynman amplitude, and gauge invariance      144—145 173
Feynman diagram      55 74—77 Chap.
Feynman diagram, irreducible      215
Feynman diagram, primitively divergent      216
Feynman diagram, proper      212
Feynman diagram, skeleton      215
Feynman gauge      303
Feynman parameter      223
Feynman rules      see “Appendix B”
Feynman rules, external field      162
Feynman rules, intermediate vector boson theory      244
Feynman rules, QED      128
Feynman rules, standard electro-weak theory      303
Fierz identities      313
Form factor      172
Furry's theorem      182
Gamma matrices      see “Dirac equation”
Gauge, bosons      272
Gauge, bosons, self-interaction      274 305 308—311
Gauge, field      263 269 270
Gauge, fixing term      288
Gauge, transformations, electromagnetic      3 78—79 84 262 291
Gauge, transformations, of the first kind      36
Gauge, transformations, of the second kind      3
Gauge, transformations, SU(2)      268—269 290
Gauge, transformations, U(1)      270 290
Gauge, transformations, weak hypercharge      270 290
Ghost particle      289
Glashow model      275
Goldstone boson      284
Goldstone model      280
Gordon identity      339
Gupta — Bleuler formalism      87—90
Heisenberg picture      22—24
Helicity, projection operators      333
Helicity, states      70
Higgs, field      289 298
Higgs, mechanism      287

Higgs, model      284
Higgs, particle      287 301 322
Higgs, particle, decay      325
Higgs, particle, mass      302—303
Higgs, production and detection      322—325
Higgs, propagator      304
Hypercharge      see “Weak hypercharge”
I amb shift      203
Indefinite metric      90
Infra-red divergence      167 168 208
Interaction picture      22—24
Inverse muon decay      253 259
Isospin      see “Weak isospin”
IVB theory      236
Klein Nishina formula      159
Klein — Gordon equation      43
Left- and right-handed spinor fields      241 264
Lepton number conservation      132—133 240 294
Life-time      14 246
Lorcntz transformation of Dirac spinors      335
Lorentz condition      84
Lorentz gauge      84
Magnetic moment, of electron      200—203 231
Magnetic moment, of muon      202—203
Majorana representation      70 338
Metric tensor      28
Microcausality      52 73 79 80
Minimal substitution      77 94
Mixed T-product      104
Mott scattering      162 172 173
Muller scattering      113 125 173
Muon, decay      247 259
Muon, magnetic moment      202—203
Neutrino electron scattering      253 255 259 311
Neutrino, masses      240 293 300
Neutrino, mixing      293 326
Neutrino, oscillations      294
Noetther's theorem      35
Non-abelian      265
Normal product      46 69 103 105
Number representation      9 48 61
Pair annihilation      see “Electron-positron annihilation”
Parity, transformation      59
Parity, violation      241 259
Pauli exclusion principle      115
Phase transformations, global      36
Phase transformations, local      79
Photon, mass      183 185
Photon, polarization vectors      5 9 85—86
Photon, self-energy      118 182 213 229
Polarization calculations for electrons      143 163
Polarization calculations for photons      21 26 157—159
Polarization summations for fermions      141
Polarization summations for photons      144
Polarization vectors for massive vector bosons      243
Polarization vectors for photons      5 9 85—86
Positive and negative frequency parts      10
Primitive divergence      216
Proca equation      242
Projection operators      see “Dirac equation”
Propagator, fermion      73
Propagator, massive scalar boson      304
Propagator, massive vector boson      243
Propagator, meson      53
Propagator, photon      86 90
Quarks      294
Radiation gauge      3
Radiative corrections      170 Chap.
Radiative corrections, higher-order      211
Radiative corrections, Lamb shift      203
Radiative corrections, lowest-order      198
Radiative corrections, magnetic moments      200
Radiative corrections, soft photons      170 208—211 317
Radiative corrections, standard electro-weak theory      302
Reduction      215
Regularization      175
Regularization, cut-off procedure      183 198—199 225
Regularization, dimensional      222 226
Rehormalization, charge      186 191 194 196—198 213 214
Rehormalization, constants      186 191 196 198 213 214 234
Rehormalization, external line      192 214
Rehormalization, mass      188—191 213 225 234
Rehormalization, of fermion propagator      191 213
Rehormalization, of photon propagator      186 213
Renormalizability      218
Renormalizability, dimensional criterion for      217 259
Renormalizability, of Higgs model      287
Renormalizability, of Higgs model, IVB theory      258
Renormalizability, of Higgs model, QED      211—219
Renormalizability, of Higgs model, standard electro-weak theory      294
Rosenbluth formula      172
Rutherford scattering      163
S-matrix expansion      98
Scattering by an external field      159 200 208—210 233
Schroedinger picture      22—24
Self-energy, electron      117 127 187 211—213 225 234
Self-energy, photon      118 182 213 229
Spin, and statistics      72—73
Spin, operator      70
Spin, projection operators      334
Spin, summations      141
Spontaneous emission      14
Spontaneous symmetry. breaking      280 Chap.
Standard electro-weak theory      289 Chap.
Standard electro-weak theory, boson masses      300—302
Standard electro-weak theory, Feynman rules      303 344
Standard electro-weak theory, interactions      301 305
Standard electro-weak theory, Lagrangian density      295 300
Standard electro-weak theory, lepton masses      292 300
Standard electro-weak theory, renormalizability      294 303
SU(2) transformations      265 268—269 290
T-product      see “Time-ordered product”
Tauon, decay      253
Tauon, mass      149
Thomson scattering      20 26 157
Time-ordered product      53 74 101 104
Trace theorems      329
U(1) transformations      268 270 290 291
Unitary gauge      286 298
Units, electromagnetic      2
Units, natural      96
Units, natural, dimensions of fields in      97
Universality      131 253
V-A interaction      240
Vacuum, diagram      119
Vacuum, polarization      118 207—208 229
Vacuum, state, definition      9 46 68 87
Vacuum, state, degeneracy of      280 291
Vertex, modification      194 214
Vertex, part      108
Ward identity      197 234
Wave function renormalization      194
Weak hypercharge      267
Weak isospin      265—267 274
Weak mixing angle      271
Weinberg angle      271
Weyl field      80
Wick's theorem      102
Yukawa interaction      292

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