Aitchison I.J.R., Hey A.J.G. — Gauge theories in particle physics. Volume 1: from relativistic quantum mechanics to QED :: Электронная библиотека попечительского совета мехмата МГУ

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Aitchison I.J.R., Hey A.J.G. — Gauge theories in particle physics. Volume 1: from relativistic quantum mechanics to QED

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Название: Gauge theories in particle physics. Volume 1: from relativistic quantum mechanics to QED

Авторы: Aitchison I.J.R., Hey A.J.G.

Аннотация:

A well-written and produced text, highly recommend for new postgraduates

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 406

Добавлена в каталог: 23.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$J/\psi$       24 (see also “ Charmonium”)
boson      38 335—336
in QED      325
$\Delta$ resonance      13—15
$\gamma$ matrices      90 103 185 211 379—380
$\gamma$ matrices, anticommutation relations      379
$\gamma$ matrices, trace theorems      216 379—382
$\gamma_5$ matrix      274 379—380
$\mu$ decay      19—20
$\sigma$ (Pauli) matrices      79 82 102 339
4-momentum conservation      152 163 348
4-vector      347—348
ABC theory      144—145 150—171
ABC theory, decay $C\rightarrow A + B$       151—154
ABC theory, propagator corrections in      280—286
ABC theory, scattering $A + B \rightarrow A + B$       155—171
Abelian U(l) group      69
action      120
Action at a distance      28—29
Action, Hamilton’s principle of least      119—120 123 127—128
Aharonov — Bohm effect      71—72
Ampere’s Law      55 346
Amplitude, invariant      153 163
Amplitude, transition current form Dirac case      211
Amplitude, transition current form KG case      206
Analogue nuclei      12 164
Analytic function      361
Analyticity      361
Annihilation process      165
Annihilation, into hadrons      267—272
Annihilation, $e^+e^-\rightarrow \mu^+\mu^-$       239 247—248
Annihilation, $e^+e^-\rightarrow \mu^+\mu^-$ , in CM frame      239 247—248
Annihilation, $e^+e^-\rightarrow \pi^+\pi^-$       230—233
Anticommutation relations      182—185
Antiparticles, in quantum field theory      174—181
Antiparticles, prediction and discovery      94
Associated production      21—22
asymptotic freedom      255 321—322
Baryon number, conservation      67
Baryon number, non-conservation      56 336
Baryon spectroscopy      13
Beta decay      3 37—39
Beta decay in Fermi theory      39
Bjorken, limit      252
Bjorken, scaling      252—259
Bjorken, x variable      254—255
Black hole      46
Black hole, horizon      46
Bohr model      6
Born approximation      34 374—375
Bose symmetry      135
Bottom quark      25
Breit (‘brick wall’) frame      259
Breit — Wigner amplitude      165
Callan — Gross relation      257—259
Casimir effect      135
Cauchy — Reimann relations      362
Cauchy’s integral formula      363
Cauchy’s Theorem      362
Causality      157—158 180—181
Centre-of-momentum (CM) frame      164 167—168 224 236 239 267 275
CGS units, rationalized Gaussian      345—346
Chadwick, discovery of neutron by      10
Charge independence of nuclear forces      12
Charge independence of quark forces      15
Charge, electric, conservation, global      55 58 197
Charge, electric, conservation, local      55 58 197
Charge, electric, definition      229 324
Charge, electric, effective      284 292
Charge, electric, quantization      67
Charge, electric, screening      318—319
Charge, electric, screening, by the vacuum      319—320
Charged current process      20
Charm      21—25
Charm quark      21 23—24
Charmonium      24—25 41 51
Cloud of virtual particles      169
Colour      41—44
Colour and R      270
Colour in Drell — Yan process      265
Compactified space dimensions      48 52
Compensating field      59
Compton effect      29
Compton scattering of       233—237
confinement      17 43—44 270
Conjugate variables      130
Conservative force      360
Constraints      189
Contact force      28
Continuity equation for electric charge      55 57—58
Continuity equation in covariant form      57
Contour integration      294—296 360—365
Contravariant 4-vector      73 347
Coulomb interaction, instantaneous      222
Coulomb’s law      35 207 222 302 310 315—316 366
Counter terms, determined by renormalization conditions      300—302
Counter terms, dimension      47 154 197—198 329—334
Counter terms, dimensionless      335
Counter terms, Higgs      321
Counter terms, in ABC theory      299—302
Counter terms, in Fermi theory      331—333
Counter terms, in QED      306—308
Counter terms, running      40 317—322
Coupling constant      36 197 279
Covariance      57 349—351
Covariance of Dirac equation under Lorentz transformation      85—91
Covariant 4-vector      73 348
Covariant derivative      63 196 199
Cross section, derivation of formula for two-body spinless differential      166—168
Cross section, differential for $e^+e^-\rightarrow q\bar{q}$       270—272
Cross section, differential for $e^+e^-\rightarrow \mu^+\mu^-$       239 247—248 344
Cross section, differential for $e^+e^-\rightarrow$ hadrons      267—272
Cross section, differential for $e^-s^+\rightarrow e^-s^+$       223—225 383—388
Cross section, differential for $e^-\mu^-\rightarrowe^-\mu^-$       237—239 246
Cross section, differential for Compton scattering      235—237 246
Cross section, differential for elastic scattering      240—244
Cross section, differential for inelastic scattering      251
Cross section, differential for virtual photons      257—259
Cross section, differential for virtual photons, Hand convention      258 273
Cross section, differential for virtual photons, longitudinal/scalar      258
Cross section, differential for virtual photons, transverse      258
Cross section, differential in natural units      343—344
Cross section, differential in non-relativistic scattering theory      373
Cross section, differential, inclusive      249 251 256 272
Cross section, differential, Mott      213
Cross section, differential, no structure      224—225 239
Cross section, differential, Rosenbluth      242
Cross section, differential, unpolarized      212 223 250 268 383
Crossing symmetry      230—233
Current, and form factors      228—229 241
Current, and gauge invariance      195—197
Current, and hadron tensor      250
Current, conservation      76 82 101 103 197 220 238 313
Current, current form of matrix element      220—221
Current, momentum space      219—220
Current, operator, electromagnetic 4-vector, Dirac      197
Current, operator, electromagnetic 4-vector, Klein — Gordon      199
Current, probability      see “Probability current”
Current, symmetry      see “Symmetry current”
Current, transition, electromagnetic      206 209 211 220
Current, used in evaluating contraction of tensors      238—239
Cut-off, in renormalization      284 288 296—298 310 312
Decay rate      153 389
Deep inelastic region      244
Deep inelastic scattering      16 244 249—262 266
Deep inelastic scattering, scaling violations in      42 253—254
Density of final states      166
dielectric constant      318—319
Dielectric, polarizable      318
Dipole moment, induced      318—319

Dirac, algebra      379—382
Dirac, charge form factor      242 317
Dirac, delta function      31 130 152 352—359
Dirac, equation      77—82
Dirac, equation, and parity      91
Dirac, equation, and spin      78—80 82—85
Dirac, equation, for interacting with potential      98
Dirac, equation, free-particle solutions      80—81 91—93 101—102
Dirac, equation, in slash notation      211
Dirac, equation, Lorentz covariance of      85—91
Dirac, equation, negative-energy solutions      91—97 104
Dirac, equation, positive-energy solutions      92 99 104
Dirac, equation, probability current      81—82 88 90 97 103
Dirac, equation, probability density      81—82 88 97 103
Dirac, field, quantization of      181—186
Dirac, Hamiltonian      122 129 131
Dirac, interpretation of negative-energy solutions      93—94
Dirac, Lagrangian      181
Dirac, matrices      78—80 101 103
Dirac, propagator      185 199
Dirac, sea      93—94
Dirac, spinor      79 82—93
Dirac, spinor, conjugate      103
Dirac, spinor, Lorentz transformation of      85—91 104—106
Dirac, spinor, normalization      89—90 92—93 181 211
Displacement current      55
Divergence      47 170 283
Divergence, infrared      306 309
Divergence, of self energy, in ABC theory      293—297
Divergence, of self energy, photon, in QED      309—311
Divergence, ultraviolet      283 306
Drell — Yan process      262—267 270 275
Drell — Yan process, scaling in      266
Dyson expansion      147—150 279—280
d’Alembertian operator      75
Effective low-energy theory      334—335
electromagnetic field      see “Field electromagnetic”
Electromagnetic interactions      see “Interactions electromagnetic”
Electromagnetic scattering      see “Scattering electromagnetic”
Electromagnetic transition current      see “Current transition electromagnetic”
Electron Compton scattering      233—237
Electron, magnetic moment of      100—101 326—329
Electroweak theory      4
Energy-time uncertainty relation      32—33 319
Ether      28
Euler — Lagrange equations      121 128 130 137 175 186
Exclusion principle      12 93 119 182
Faraday — Lenz law      55
Faraday, and lines of force      28
Fermi, constant      39 47 330
Fermi, constant, dimensionality of      330
Fermi, constant, related to W mass      39
Fermionic fields      181—186
Fermionic fields and spin-statistics connection      181—185
Feynman rules for ABC theory      163
Feynman rules for loops      169—170 282—283
Feynman rules for QED      221—222 233 389—391
Feynman, $i\epsilon$ prescription      160—165 179—180 185 294—295 371
Feynman, diagram, description of      35
Feynman, diagram, description of, connected      171
Feynman, diagram, description of, disconnected      170
Feynman, diagram, description of, for counter terms      299—300
Feynman, gauge      195
Feynman, identity      294 304 319
Feynman, interpretation of negative-energy solutions      95—97 209 230
Feynman, path-integral formulation of quantum mechanics      123—124
Feynman, propagator for complex scalar field      179
Feynman, propagator for Dirac field      185
Feynman, propagator for photon      190—195
Feynman, propagator for real scalar field      157
Feynman, scaling variable      266 275
Field strength renormalization      288—291 297 308 349
Field theory, classical, Lagrange — Hamilton approach      127—129
Field theory, quantum      see “Quantum field theory”
Field, electromagnetic      29
Field, electromagnetic, quantization of      186—195
Fine structure constant      206 279
Fine structure constant, -dependent      317—321
Flavour, lepton      18—21
Flavour, quark      21—26
Flux factor      166 208 251 372—373 376 385
Flux factor for virtual photon      257—258
Form factor, electromagnetic      9
Form factor, electromagnetic, of nucleon      12 16 240—244
Form factor, electromagnetic, of nucleon, and invariance arguments      241—244
Form factor, electromagnetic, of nucleon, Dirac charge      242
Form factor, electromagnetic, of nucleon, Pauli anomalous magnetic moment      242
Form factor, electromagnetic, of nucleon, radiatively induced      317
Form factor, electromagnetic, of pion      225—230
Form factor, electromagnetic, of pion, and invariance arguments      227—230
Form factor, electromagnetic, of pion, in the time-like region      230
Form factor, electromagnetic, static      226
Form invariance      see “Covariance”
Four-vector potential, electromagnetic      57 59 186—195
Fourier series      354—356
Franck — Hertz Experiment      6
g factor, prediction of g = 2 from Dirac equation      98—101
g factor, QED corrections to      326—329
Gauge, choice of      187
Gauge, choice of, and photon propagator      194—195
Gauge, covariance, in quantum mechanics      60—63
Gauge, covariant derivative      63
Gauge, field      67
Gauge, invariance      36 54—63 188 220
Gauge, invariance, and charge conservation      58 195—197
Gauge, invariance, and masslessness of photon      36 40 187 311 314
Gauge, invariance, and Maxwell equations      56—60
Gauge, invariance, and photon polarization states      187—189
Gauge, invariance, and Schrodinger current      62
Gauge, invariance, and Ward identity      234—235
Gauge, invariance, as dynamical principle      63—72
Gauge, invariance, in classical electromagnetism      56—60
Gauge, invariance, in quantum mechanics      60—63
Gauge, invariance, of QED      195 220
Gauge, parameter      194—195
Gauge, parameter, physical results independent of      195 220
Gauge, principle      63—72 98—101 171 195—199
Gauge, theories      38 40 45 49 53—56
Gauge, transformation      57—66
Gauge, transformation and quantum mechanics      60—63
Gauss’s divergence theorem      366
Gauss’s law      55 318 345 366
Geiger — Marsden experiment      5—7 16 42
Gell — Mann — Nishijima scheme      22
General relativity      4 45—46 59—60
Generations      17—19 21—25
Glashow — Iliopoulos — Maiani (GIM) mechanism      24
Gluon      41—44 262
Gluons, and momentum sum rule      262
Golden Rule      375—376
Goldstone quantum      314
Gordon decomposition of current      248
Graviton      46
Gravity      4 28 44—48 52 59 335—336
Green function      35 158 172 179 190 366—371 374
Gupta — Bleuler formalism      193—194
Hadron      4—5 14
Hadronic multiplets      15
Hadronization      43
Hamiltonian      122 124—126 128—129 131—133 138—139
Hamiltonian, density      129 131 138
Hamiltonian, Dirac      184
Hamiltonian, for charged particle in electromagnetic field      60
Hamiltonian, Klein — Gordon      138 145
Hamilton’s equations      60
Hand cross section for virtual photons      258 273
Heaviside — Lorentz units      54 345—346
Heisenberg, equation of motion      122 139—140
Heisenberg, picture (formulation) of quantum mechanics      122—123 134—135 377—378
Helicity      84—87 105—106 213 259 274 309

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