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Bjorken J.D., Drell S.D. Ч Relativistic Quantum Fields
Bjorken J.D., Drell S.D. Ч Relativistic Quantum Fields

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Ќазвание: Relativistic Quantum Fields

јвторы: Bjorken J.D., Drell S.D.

јннотаци€:

The propagator approach to a relativistic quantum theory pioneered in 1949 by Feynman has provided a practical, as well as intuitively appealing, formulation of quantum electrodynamics and a fertile approach to a broad class of problems in the theory of elementary particles. The entire renormalization program, basic to the present confidence of theorists in the predictions of quantum electrodynamics, is in fact dependent on a Feynman graph analysis, as is also considerable progress in the proofs of analytic properties required to write dispersion relations. Indeed, one may go so far as to adopt the extreme view that the set of all Feynman graphs is the theory.


язык: en

–убрика: ‘изика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1965

 оличество страниц: 396

ƒобавлена в каталог: 11.04.2010

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ѕредметный указатель
"internal,"      96Ч99
''Strangeness'' S      106
Analytic continuation      312Ч317
Anomalous thresholds      235Ч242
Antiparticles      40
Antiunitary operator      118n.
Arbitrary graphs, generalization to, and electrical circuit analogy      220Ч226
Asymptotic behavior of Feynman amplitudes      364Ч368
Asymptotic condition      132Ч137
Asymptotic condition, weak      137
Bethe-Salpeter equation      292n.
Bleuler, K      68
Bloch, F.      207
Bogoliubov, N.N.      264 268
Bose fields      98 127Ч128
Bose-Einstein fields      214
Bose-Einstein statistics      32 44Ч45 52 56 58Ч59 124
Brown, L.M.      363
Cauchy relation      252
Causality, and Kramers-Kronig relation      210Ч213 226
Causality, microscopic      170
Charge conjugation      113Ч118
Charge parity      114
Charged scalar field      37Ч40
Co variance, Lorentz      20 71 74
Co variance, relativistic      62Ч63
Compton scattering, low-energy theorem for      357Ч364
Conservation laws, symmetries and      17Ч22
Contraction terms, graphical representation of      185Ч187
Contraction terms, nonvanishing      184Ч185
Convergence, criterion for      317Ч330
Coordinates, momenta and      377Ч378
Coulomb field      88
Coulomb gauge      86
Creation operator      32
Current distribution, classical, soft photons radiating from      202Ч207
Degree of divergence      317Ч330
Density, Hamiltonian      16 18
Density, Lagrangian      13
Differential wave propagation      3
Dirac equation      18 54Ч55 102 115
Dirac field      86 91Ч92 111 124
Dirac field, reduction formula for      159Ч163
Dirac field, second quantization of      44Ч65
Dirac matrices, spinors and      378Ч380
Dirac operator      89
Dirac theory      54Ч56 58 120
Dirac theory, dynamical calculations of pi-pi scattering using      269Ч278
Dirac theory, for vertex function      242Ч245
Dirac theory, forward pi-nucleon, axiomatic derivation of      263Ч269
Dirac theory, spectral representation for      151Ч159
Dispersion relations      210Ч283
Divergence, degree of      317Ч330
Dyson, F.J.      175 181 322
Dyson-Salam renormalization program      322
Dyson-Wick decomposition      187
Dyson-Wick expansion      185
Dyson-Wick reduction      192
Electrical circuit analogy      220Ч226
Electrodynamic interaction      84Ч88
Electrodynamics, of spin-one boson      386
Electrodynamics, of spin-zero boson      384
Electrodynamics, spinor      383
electromagnetic field      3
Electron-positron kernel      285Ч290
Equations, Dirac      18 54Ч55 102 115
Equations, Euler-Lagrange      5 14 17 19
Equations, Heisenberg      62 98
Equations, integral      see УIntegral equationsФ
Equations, Klein-Gordon      26 28 38 40 102 134
Equations, Klein-Gordon wave      13Ч15
Equations, Maxwell      69 71 74Ч75
Equations, Schroedinger      44Ч45 52
Euler-Lagrange equations      5 14 17 19
Fermi fields      98 127Ч128
Fermi-Dirac field      64Ч65 214
Fermi-Dirac statistics      44Ч46 52 59
Feynman amplitudes, asymptotic behavior of      364Ч368
Feynman graphs      174Ч175 187 189 216 231Ч232
Feynman graphs, rules for      381Ч386
Feynman propagator      41Ч42 63Ч65
Feynman propagator, for transverse photons      78Ч80
Feynman, R.P.      363
Field commutator      34
Field theories, local      3Ч5
Field theories, other formulations for      23Ч24
Fields, Bose      98 127Ч128
Fields, Bose-Einstein      214
Fields, canonical formalism and quantization procedure for      11Ч16
Fields, charged scalar      37Ч40
Fields, Coulomb      88
Fields, Dirac      see УDirac fieldsФ
Fields, electromagnetic      3
Fields, Fermi      98 127Ч128
Fields, Fermi-Dirac      64Ч65 214
Fields, free, theory of      84
Fields, Heisenberg      91
Fields, interacting      84Ч128
Fields, Klein-Gordon      26Ч42 46 64 87n. 120 124
Fields, local      3Ч6
Fields, Maxwell      71 86 124
Fields, microscopic causality and measurability of      34Ч35
Fields, scalar, reduction formula for      146Ч150
Fields, wave      3
Formalism, canonical, and quantitation procedure, for fieldi      11Ч16
Formalism, canonical, and quantitation procedure, for particlei      5Ч11
Formalism, canonical, general      2Ч24
Formalism, canonical, quantum field      3
Forward pi-nucleon dispersion relations, axiomatic derivation of      208Ч200
Fourth-order charge renormaliiatlon, example of      344Ч357
Fredholm theory of potential scattering      275
Free fields, theory of      84
Gauges, Coulomb      86
Gauges, radiation      73
Gauss's law      71Ч72 86 88 91
Gell-Mann, M.      192 362
General formalism      2Ч24
General graph, singularities of, and Landau conditions      231Ч235
Generators      97
Goldberger, M.L.      192 362
Granularity      4
Graphs, arbitrary, generalization to      220Ч226
Graphs, Feynman      174Ч175 187 189 216 231Ч232
Graphs, Feynman, rules for      381Ч386
Graphs, general, singularities of      231Ч235
Graphs, improper      236n.
Graphs, in quantum electrodynamics, rules for      197Ч202
Graphs, representing contraction terms      185Ч187
Graphs, skeleton      293Ч298
Graphs, vertex, analytic properties of, in perturbation theory      216Ч220
Graphs, vertex, analytical structure of      235Ч242
Green's functions      53Ч54 64 220
Green's theorem      27
Gupta, S.N.      68
Hamilton's principle      5 11Ч12 70
Hamiltonian density      16 18 70
Hamiltonian operator      53
Heine-Borel Theorem      327
Heisenberg equations      62 98
Heisenberg fields      91
Heisenberg picture      7Ч8 11Ч12 130
Heisenberg relations      88
High-energy physics, application of Kramers-Kronig relation to      214Ч216
Hilbert space      12 20
Hypercharge      106
Hyperons      101
Improper      107Ч108
Improper symmetry      107Ч108
In-flelds, conitruotion of      132Ч137
In-flelds, conitruotion of, and out-fields      151Ч159
In-flelds, conitruotion of, and out-fields, reduotion formula for photons and      163Ч165
In-itatei, oonitruotion of      132Ч137
Infrared catastrophe      202Ч207
Integral equationi, renormalized      309Ч312
Integral equationi, renormalized, for self-energy and vertex parts      290Ч293
Integral equationi, renormalized, for tau functions and kernel K      293Ч298
Interacting fields      84Ч128
Intermediate renormalization, analytic continuation and      312Ч317
Internal symmetry      20 96Ч99
Intrinsic parity      109 112
Invariance, displacement      88Ч90
Invariant commutator and propagator functions      387Ч390
Isotopic spin      189Ч192
Isotopic spin conservation      104
Isotopic spin current      100
JCP theorem      123Ч127
Jost, R.      357
Kall£n-Lehmann representation      227
Karplus, R.      321
Kernel K, integral equations for      293Ч298
Kirchhoff's laws      224 229Ч230 237
Klein-Gordon equation      26 28 38 40 102 134
Klein-Gordon field      26Ч42 46 64 87n. 120 124
Klein-Gordon theory      47 52 54 56 108
Klein-Gordon wave equation      13Ч15
Kramers-Kronig relation      243Ч244 251 362
Kramers-Kronig relation, application to high-energy physics      214Ч216
Kramers-Kronig relation, causality and      210Ч213 226
Lagrangian density      13
Lamb shift      36
Landau conditions      231Ч235
Lehmann, H.      23
Looal fields, description of      3Ч5
Lorentz      4 18 20 62 69 88Ч90
Lorentz covariance      20 71 74
Lorentz invariance      4 18 20 62 69 130Ч131
Lorentz transformation      73Ч74 89 94 134
Low, F.      362
Low-energy theorem for Compton scattering      357Ч364
Luttinger, J.M.      357
Mass counterterm      135
Maxwell equations      69 71 74Ч75
Maxwell field      71 86 124
Maxwell theory      74
Measurability of field and      34Ч35
Meson-nucleon scattering      385
Microscopic causality      4Ч5 170
Momenta, coordinates and      377Ч378
Momentum expansions      56Ч62 74Ч77 90Ч91
n identical particles, quantum mechanics of      44Ч46
Neumann, M.      321
Noether's theorem      17 22 73 84
Nordsieck, A.      207
Normal order      59
Normal ordering      31 91Ч93
Normal-ordered factors      126
Nucleon number      99 104
Nucleons, pi mesons and      99Ч101
Number operator      49
Number representation      231Ч232 246
Number representation, for fermions      46Ч54
Of strange particles      101Ч107
Ohm's law      224Ч225 248
Oscillator, simple harmonic      8
Out-fields      142Ч143
Out-fields, in-fields and      151Ч159
Out-fields, in-fields and, and reduction formula for photons      163Ч165
Out-states      142Ч143
Parity      108Ч113
Parity, charge      114
Parity, intrinsic      109 112
Particle interpretation, quantization and      26Ч32
Particles      40
Particles, n identical, quantum mechanics of      44Ч46
Particles, pseudoscalar      109 112
Particles, scalar      109 112
Particles, strange, symmetries of      101Ч107
Peaceful coexistence      85
Perturbation expansion of      178Ч181
Perturbation expansion of tau functions and S matrix      178Ч181
Perturbation theory      3 174Ч208
Perturbation theory, analytic properties of vertex graphs in      216Ч220
Phase transformation      97
Photons, in- and out-states and reduction formula for      163Ч165
Photons, soft, radiated from classical current distribution      202Ч207
Photons, spectral representation for      166Ч170
Photons, spin of      77Ч78
Photons, transverse      78Ч80
Pi mesons, nucleons and      99Ч101
Pi-nucleon scattering      189Ч192
Pi-pi scattering      192Ч197
Pi-pi scattering, dynamical calculations of, using dispersion relations      269Ч278
Pi-pi scattering, fourth-order, illustrated      194
Pion electromagnetic structure      278Ч282
Pion-nucleon scattering, application to forward      253Ч263
Positronium, decay of      117
Propagation, differential wave      3
Propagator, threshold singularities for      226Ч231
Pseudoscalar particles      109 112
Quantization procedure, canonical formalism and, for fields      11Ч16
Quantization procedure, canonical formalism and, for particles      5Ч11
Quantization, covariance of procedure for      73Ч74
Quantization, of electromagnetic field      68Ч81
Quantization, particle interpretation and      26Ч32
Quantization, second      52
Quantization, second, of Dirac field      44Ч65
Quantum electrodynamics, rulei for graphs in      107Ч202
Quantum mechanic I of n identical particles      44Ч46
Radiation gauge      73
Rayleigh scattering      362
Reduction formula, for Dirac fields, ISO      163
Reduction formula, for photons, in- and out-states and      163Ч165
Reduction formula, for scalar fields      146Ч150
Relativistic covariance      62Ч63
Renormalization      284Ч376
Renormalization constants, definition of      303Ч309
Renormalization group      368 376
Renormalization prescription      303Ч309
Renormalization theory      3
Renormalization, fourth-order charge, example of      844Ч357
Renormalization, intermediate      312Ч317
Renormalized theory, proof that it is finite      330Ч344
S matrix      284
S matrix and      130Ч172
S matrix, and proof that renormalized theory is finite      330Ч344
S matrix, definition and general properties of      143Ч146
S matrix, perturbation expansion of      178Ч181
S matrix, unitarity of      274
S matrix, vacuum expectation values and      130Ч172
Salam, A.      322
Scalar fields, reduction formula for      146Ч150
Scattering amplitudes, singularities of      245Ч253
Scattering, Compton, dynamical calculations of, using dispersion relations      269Ч278
Scattering, Compton, low-energy theorem for      357Ч364
Scattering, Compton, meson-nucleon      385
Scattering, Compton, pi-nucleon      189Ч192
Scattering, Compton, pi-pi      192Ч197
Scattering, Compton, pion-nucleon      253Ч263
Scattering, Compton, potential, Fredholm theory of      275
Schroedinger equation      44Ч45 52
Schroedinger picture      6 91
Schwartz reflection principle      241n. 219 236 242 247
Schwinger, J.      23
Second quantisation, definition of      52
Second quantisation, of Dirao field      44Ч65
Self-energy, integral equations for      290Ч293
Self-energy, proper, vertex parts and      285Ч290
Simple harmonic oscillator      8
Singularities, of general graphs      231Ч235
Singularities, of scattering amplitudes      245Ч253
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