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

Higgs, coupling constant      321
Higgs, field      138—139
Higgs, mechanism      314
Higgs, sector      321
Hofstadter experiments      8—12
Hole theory      93—94
in external line      302
Inelastic scattering      see “Scattering inelastic”
Interaction picture      145—147
Interactions, electromagnetic, introduction via the gauge principle      195—199
Interactions, electromagnetic, of spin-0 particles      205—210
Interactions, electromagnetic, of spin-j particles      210—218
Interactions, in quantum field theory, qualitative description of      141—143
Interference term, in quantum mechanics      64
Interquark potential      44
Invariance and dynamical theories      53
Invariance, global      54—55
Invariance, local      54—55
Invariance, Lorentz      347—351
Invariance, phase      54 65
Invariant amplitude      153 163 389
Jets      41—42 270—272
k-factor      257
Klein — Gordon equation      74—76 95—97 104
Klein — Gordon equation, derivation      75
Klein — Gordon equation, first-order perturbation theory for      206
Klein — Gordon equation, free-particle solutions      75
Klein — Gordon equation, free-particle solutions, normalization of      207
Klein — Gordon equation, negative probabilities      76
Klein — Gordon equation, negative-energy solutions      75 95—97
Klein — Gordon equation, potential      98 104 205
Klein — Gordon equation, probability current      76 90
Klein — Gordon equation, probability density      76
Klein — Gordon field      137—138 174—181
Lagrangian      28 120—131
Lagrangian, classical field mechanics      127—129
Lagrangian, density      127 129
Lagrangian, Dirac      181
Lagrangian, Klein — Gordon      137
Lagrangian, Maxwell      191 194 201
Lagrangian, particle mechanics      119—121
Lagrangian, quantum field mechanics      129—136
Lagrangian, Schrodinger      139
Lamb shift      316
Lamb shift, Uehling contribution      316
Landau gauge      195
Least action, Hamilton’s principle of      119—120 127—128
Lenz’s law      55
Lepton      3—4 18—21
Lepton quantum numbers      18—21 336
Lepton tensor      see “Tensor lepton”
Lepton, flavour      18—21
Leptoquark      274
Linear differential equations      111
Loop diagrams      168—170 279—304
Loop diagrams, and divergences      168—169 283
Loop diagrams, and renormalization in ABC theory      279—304
Loop diagrams, and renormalization in QED      306—336
Loop diagrams, and unitarity      322—323
Loop diagrams, closed fermion      310 336
Loop momenta      170 283
Lorentz, condition      187 191 193
Lorentz, covariance      349—351
Lorentz, force law      60
Lorentz, gauge      193
Lorentz, invariance      347—351
Lorentz, invariance, and form factors      227—228 241
Lorentz, invariance, and inelastic hadron tensor      250—251
Lorentz, invariant phase space (Lips)      166—168 383
Lorentz, invariant phase space (Lips), in CM frame      167—168
Lorentz, invariant phase space (Lips), in ‘laboratory’ frame      385—388
Lorentz, transformations      73 85—91 347
lowest-order, in ‘laboratory’ frame      237—239
Magnetic moment, anomalous      326—329
Magnetic moment, anomalous, and renormalizability      326—327
Magnetic moment, of electron      98—101
Magnetic moment, orbital      339
Mandelstam, s variable      163 384
Mandelstam, t variable      163 384
Mandelstam, u variable      164 384
Mass, effective      284
Mass, physical      287—288 293
Mass, shift      287—288
Mass-shell condition      164 300—301
Massless spin- $\dfrac12$ particle, wave equation for      104—106
Massless vector field, wave equation for      58
Maxwell field      186—195 201
Maxwell’s equations      28 54—60 186
Maxwell’s equations, and Lagrangian field theory      186—195
Maxwell’s equations, and units      345—346
Maxwell’s equations, gauge invariance of      56—60
Maxwell’s equations, Lorentz covariance of      56—60 351—352
Metric tensor      348
Mirror nuclei      12
mks units      345—346
MODE      113—118
Mode, coordinates      113—115 118
Mode, expansion      131—132 138 176 181 189 192
Mode, interacting      141 143
Mode, normal      113—118 131
Mode, operators      132
Mode, oscillator      115
Mode, quanta      115—116
Mode, superposition      117
Mode, time-like      193
Momentum sum rule      262
Momentum, generalized, canonically conjugate      122 128 130—131 138 183 190—191 197
Mott cross section      213
Multiplets, charge      13—15
Muon      18 33
Muonic atoms      316
Negative-energy solutions, Dirac’s interpretation      93—94
Negative-energy solutions, Feynman’s interpretation      95—97
Neutral current process      20
Neutrino      4 19—20
Neutrino, e-type and $\mu$ -type      19—20
Neutrino, mass      20
Neutrino, mixing      20—22
Neutrino, oscillations      52
Newton’s constant (of gravity)      45 335
Noether’s theorem      176
Non-abelian gauge theories, and asymptotic freedom      321—322
Non-relativistic quantum mechanics, revision      338—341
Non-renomalizable theory      47 329—336
Normal ordering      133 177 210 217
Normalization, box      152 339
Normalization, covariant      207 211
Normalization, of states      151 153
Nucleon      4 10—11
Nucleon, spectroscopy      12—15
O(2) transformation      174
Off-mass-shell      164
One-photon exchange, approximation      35—36 221 226 231—232 237 240 249—250 267—268
One-quantum exchange process      34—35
Operator product expansion      263
Optical theorem      323 374
Oscillator, quantum      124—126
p-dominance of pion form factor      268
Pair creation      94 319
Parity operation      91
Parton      237 255
Parton, and Breit (brick-wall) frame      259
Parton, model      252—267
Parton, probability distributions      256 260—262 265
Parton, sea      261
Parton, valence      261
Path integral formalism      123—124 189 194
Pauli, exclusion principle      12 119 182
Pauli, matrices      79 82 102 339
Perturbation theory in interaction picture      147—150

Perturbation theory in non-relativistic quantum mechanics (NRQM)      142
Perturbation theory in non-relativistic quantum mechanics (NRQM), time-dependent      152 206 340 395—396
Perturbation theory in quantum field theory, bare      297—301
Perturbation theory in quantum field theory, renormalized      297—301 306—308
Phase, evaluated in CM frame      166—168
Phase, factor, non-integrable      70—72
Phase, invariance      36
Phase, invariance, global      65
Phase, invariance, local      64—66
Phase, space, two-particle      166—168
Phase, space, two-particle, Lorentz invariant      166
Phase, transformation, space-time dependent      65
Phonon      116 118
Photon, absorption and emission of      29 340—341
Photon, as excitation quantum of electromagnetic field      118
Photon, external      233 389
Photon, masslessness      20 36 40 187 189 311 314
Photon, propagator      189—195
Photon, propagator and gauge choice      195
Photon, virtual      222 257 273
Pion      4 33—34
Pion, Compton wavelength      343
Pion, form factor      225—230
Planck, length      46—48
Planck, mass      46 48 52
Planck, time      46
Point-like interaction      39
Poisson’s equation      366
Polarization, circular      188
Polarization, linear      188
Polarization, of charge in dielectric      318—319
Polarization, of vacuum      318—320
Polarization, pseudo-completeness relation      194 236
Polarization, states for massive spin-1 boson      189
Polarization, states for massive spin-1 boson, for photons      187—189
Polarization, states for massive spin-1 boson, longitudinal      192 257
Polarization, states for massive spin-1 boson, time-like (scalar)      192 257
Polarization, states for massive spin-1 boson, transverse      188 192 233
Polarization, sum, for photons      236
Polarization, vectors, for photons      187—189
Positron, prediction and discovery of      94
Positronium      50
Probability current for Dirac equation      81—82 88 90 97 103
Probability current for Dirac equation, 4-vector character      82 90 211 245
Probability current for KG equation      76 95
Probability current for Schrodinger equation      101
Probability density for Dirac equation      81 93 97
Probability density for KG equation      76
Probability density for Schrodinger equation      338
Probability distributions for partons      256
Probability distributions for quarks      260—262 265
Projection operators      103
Propagator, complete, in ABC theory      286
Propagator, correction, in ABC theory      280—286
Propagator, for Dirac field      185 198
Propagator, for photon      190—195
Propagator, for photon, in arbitrary gauge      195
Propagator, for scalar field      161—166
Propagator, renormalized, in ABC theory      301—302
Psi meson ( $\psi$ /J particle)      24 (see also “Charmonium”)
Quanta      115 126 132—134
Quantum chromodynamics (QCD)      4 17 41—44 48 270
Quantum chromodynamics (QCD), and asymptotic freedom      255
Quantum chromodynamics (QCD), lattice      44
Quantum electrodynamics (QED)      4 53 279
Quantum electrodynamics (QED), introduction      195—199
Quantum electrodynamics (QED), scalar      199
Quantum electrodynamics (QED), spinor      195—199
Quantum electrodynamics (QED), tests of      326—329
Quantum field theory, antiparticles in      173—181 183—184
Quantum field theory, complex scalar field      173—181
Quantum field theory, Dirac field      181—186
Quantum field theory, interacting scalar fields      141—172
Quantum field theory, internal symmetries in      173—177 183—184
Quantum field theory, Klein — Gordon field      137—139
Quantum field theory, Lagrange — Hamilton formulation      119—136
Quantum field theory, Maxwell field      186—195
Quantum field theory, perturbation theory for      144—150
Quantum field theory, qualitative description      109—119
Quantum field theory, real scalar field      127—139
Quark      3—5 12—17 21—27
Quark, as hadronic constituent      12—17
Quark, charges      15
Quark, charm      21—24
Quark, colour      41—43 265
Quark, flavour      21—26
Quark, masses      26
Quark, parton model      239 260—262
Quark, probability distributions      256
Quark, quantum numbers      27
Quark, sea      261—262
Quark, sum rules      261—262
Quark, valence      261—262
Quarkonia      44 51
Quarks, confinement of      see “Confinement”
R ( annihilation ratio)      270—271
Regularization      286 296—297 308
Regularization, cut-off method      296—297 310
Regularization, dimensional      311
Relativity, general      59
Relativity, special      347—351
Renormalizability      303—304
Renormalizability, and gauge invariance      72—73
Renormalizability, as criterion for physical theory      284 329—336
Renormalizability, criteria for      154 329—336
Renormalization      47 154 279—304
Renormalization, conditions      300—302 313 324 332
Renormalization, field strength      288—291 297—298 309
Renormalization, group      320
Renormalization, mass      287—288
Renormalization, of QED      334
Resonance width      165
Rosenbluth cross section      242
Running coupling constant      see “Coupling constant running”
Rutherford      5—6
Rutherford, atom      6
Rutherford, scattering      5 7—8 16 36 40—42 205 208 213 225 227
Rutherford, scattering, from charge distribution      215
s-channel      164
S-matrix      147—150
S-matrix, unitarity      148 323
S-operator      149
S-operator, Dyson expansion of      150
s-variable      164 384
Scalar potential      57
Scaling      262—266 (see also “Bjorken scaling in Drell — Yan process”)
Scaling, light cone and short-distance operator product expansions      263
Scaling, variables      254 265—266 275
Scaling, violations      42 253—254
Scattering, $e^+e^- \rightarrow\mu^+\mu^-$       239 247—248 265
Scattering, $e^+e^- \rightarrow\pi^+\pi^-$       230—233
Scattering, -parton      253—259
Scattering, -proton, elastic      12 240—244
Scattering, -proton, elastic, kinematics      243
Scattering, -proton, inelastic      16—17 249—262
Scattering, -proton, inelastic, Bjorken scaling in      252—259
Scattering, -proton, structure functions      251—253
Scattering,       255
Scattering,       218—225
Scattering, $e^-\mu^-$       237—239
Scattering, $e^-\pi^+$ , elastic      225—230
Scattering, $q\bar{q} \rightarrow\mu\bar{\mu}$       265
Scattering, as exchange process      30—34 164
Scattering, Compton, of electron      233—237
Scattering, electromagnetic, of charged spin-5 particles      210—218
Scattering, electromagnetic, of charged spinless particles      205—210
Scattering, Quasi-elastic      255
Scattering, Rutherford      see “Rutherford scattering”
Scattering, theory, non-relativistic      372—376
Schrodinger equation for spinless particles      60—65 69 71 74 338

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