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Ryder L.H. — Quantum Field Theory
Ryder L.H. — Quantum Field Theory



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Название: Quantum Field Theory

Автор: Ryder L.H.

Аннотация:

This book is a modern introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods, the author develops the quantum theory of scalar and spinor fields, and then of gauge fields. The emphasis throughout is on functional methods, which have played a large part in modern field theory. The book concludes with a brief survey of "topological" objects in field theory and, new to this edition, a chapter devoted to supersymmetry. Graduate students in particle physics and high energy physics will benefit from this book.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd

Год издания: 1996

Количество страниц: 507

Добавлена в каталог: 06.04.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
O(3) group space      401
One-loop renormalization of QED      337ff
One-loop renormalization of Yang-Mills theory      353ff
One-particle irreducible (1PI) graph      256
One-particle reducible graph      256
Overlapping divergences      321 349
Parallel transport      114
Particle interpretation of Dirac equation      45
Particle interpretation of Klein — Gordon equation      29
Particle number operator      130
Partition function      262
Path integral quantization and canonical formalism      241
Path integral quantization of gauge fields      240ff
Path integral quantization of scalar fields      182ff
Path integral quantization of spinor fields      210ff
Path-integral formulation of quantum mechanics      154ff
Pauli matrices      34 35
Pauli spinor      37 38
Pauli — Lubanski pseudovector      62
Pauli — Villars regularisation      313 330
PCAC      293
Perturbation theory      161ff 200ff
Perturbation theory, dimensional regularisation      313ff
Perturbation theory, divergences in perturbation theory      308ff
Perturbation theory, Feynman rules      207
Perturbation theory, four-point function      204ff
Perturbation theory, generating functional      200ff
Perturbation theory, renormalisation of perturbation theory      318ff
Perturbation theory, two-point function      202—204
Photino      426
Photon      2 144
Photon propagator      240—245
Photon timelike      147
Photon transverse      147
Photon, longitudinal      147
Photon-photon scattering      332—333
Pion      3 4
Pion as Goldstone boson      293
Pion decay      20
Pion-nucleon scattering      224ff
Poincare group (fundamental group)      103 104
Poincare group (inhomogeneous Lorentz group)      40 55ff 77
Poincare group (inhomogeneous Lorentz group), supersymmetric extension of Poincare group      453
Poincare lemma      73
Pontryagin index      417
Positive frequency solutions      129
Power counting      376
Prediagram      229
Principle of least action      80
Proca equations      64—69
Proca equations, quantisation      150—152
Projection operators for positive and negative energy states      51
Propagator      216
Propagator for Dirac field      215
Propagator for non-Abelian gauge field      252 254
Propagator for non-relativistic particle      154 161
Propagator for scalar field      189 216
Propagator, complete      256 332
Propagator, photon      240—245
q-number      159
QCD      4 22—23 125
QCD, vacuum polarisation in QCD      355—358
QED, asymptotic behaviour of QED      345—347
QED, divergences and dimensional regularisation of QED      329—337
QED, one-loop renormalisation of QED      337—343
QED, propagators and gauge conditions      240—245
QED, renormalisability      347—353
QED, Ward — Takahashi identity      263—270
QFD (quantum flavour dynamics)      366
Quantisation, canonical, of electromagnetic field      140—150
Quantisation, canonical, of scaler fields      126—137
Quantisation, canonical, of spinor fields      137—140
Quantisation, canonical, of vector fields      150—152
Quantisation, path integral      see path in quantisation
Quantum chromodynamics      see QCD
Quantum electrodynamics      see QED
Quantum tunneling      420—424
Quark      4
Quark model      4 9-12
Quark self-energy      354
Quark, confinement      22 124
R      21
R gauge      376
R matrix (reaction matrix)      276
Radiation gauge      142—145
Reduction formula      223 239
Regularisation      see Dimensional regularisation Pauli-Villars
Relativity, general theory of relativity      2
Renormalisability of QED      347—353
Renormalisability of Yang-Mills theories      276 302ff 375ff
Renormalisation      204 308ff
Renormalisation constants      347—348
Renormalisation constants, wave function      320
Renormalisation group      324ff
Renormalisation group, equation      325
Renormalisation of $\phi^4$theory      318ff
Renormalisation of Yang-Mills theories      362ff
Renormalisation, multiplicative      352
Renormalisation, of spontaneously broken Yang-Mills theories      375ff
Renormalisation, one-loop, of QED      337ff
Renormalised coupling constant      318
Renormalised mass      204 256 318
Resonance      8
Riemann-Christoffel tensor      119
Right derivative      211
Rotation group      30ff
Rotation group generators      31
Running coupling constant      327
Rutherford formula      172
S matrix      166 217ff 239
Saddle-point method      380
Salam      4 see
Scalar field propagator      189
Scalar field, canonical quantisation      126—137
Scalar field, complex      90—97
Scalar field, Feynman rules      189 207 231—232
Scalar field, generating functional      182ff
Scalar field, path integral quantisation      182ff
Scalar field, real      81-90
Scalar photons      147
Scaling, behaviour of Green’s function      326
Scaling, Bjorken      17
Scattering amplitude      165
Scattering cross section      232ff
Schroedinger equation      28
Schroedinger equation, Green’s function for      163—164
screening      347
Second quantisation      126
Selectron      426
Self-energy operator      255ff
Self-energy operator, electron      329ff
Self-energy operator, gluon      355
Self-energy operator, photon      331
Self-energy operator, quark      354ff
Sine-Gordon equation      391
Sine-Gordon kink      391—395
Skeleton diagram      348
SL(2,C) and Lorentz group      36ff
slash notation      52
Slavnov — Taylor identity      273ff 281 363
Solitary wave (soliton)      390 391 424
Spacelike interval      25
Spacelike momentum      56
Spin and statistics      133 153
Spin operator      55
Spinor      33 77
Spinor field, Feynman rules      231—232
Spinor, Dirac      49 51 427ff
Spinor, dotted and undotted      39 434
Spinor, four-spinor      41
Spinor, Majorana      427
Spinor, Pauli      37 39
Spinor, Weyl      42 427
Spontaneous symmetry breaking      282ff
Spontaneous symmetry breaking of gauge theories      293ff
Statistical mechanics and field theory      263 281
Stokes’ formula      73
Strong asymptotic condition      221
Strong interaction      3—4 7
Structure constants      113
Structure constants of SU(3)      123
Structure factor      17
SU(2) and O(3)      30ff 77 400—401
SU(2) and rotation group      30ff 77
SU(2), structure constants      113
SU(3)      3 13—14 122—125
SU(4)      15
Summation convention      25—26
Superconductivity      296—298 307 397
Superfields      463 464ff
Superfields, chiral      464 467ff
Supergravity      473
Superspace      459ff
Supersymmetry      426ff
Supersymmetry, mass-shell realisation      452
Sutherland paradox      368
Symmetry factor      202 206
Tau ($\tau$) lepton      7 299
Tau-vacua      420—424
Thomas precession      37
Time ordering operator      178
Timelike interval      25
Timelike momentum      56
Timelike photons      147
Trace formulae      52
Transverse photons      147
Transverse photons propagator      243
Tree approximation      382
Two slit experiment      98 155
Two-point Function      202
U gauge      295 377
U(1)      92
U(1), gauge transformations      96
U(1), spontaneous breaking      294
Uehling term      342
Unitarity      276
Unitarity and ghosts      276ff 281
Vacuum graph (diagram)      202 206
Vacuum polarisation      331
Vacuum polarisation in QCD      355ff
Vacuum, degenerate      283
Vacuum, expectation value      284 378
Vacuum-vacuum transition amplitude      174—175 182—184
Vector potential      65
Vertex function      255 258 286
Vertex function proper      263
Vortex line      395ff
W boson      5 305
Ward identity      255 263ff 281 338 349 366
Ward identity, axial      366
Ward identity, generalised      255
Ward-Takahashi identity      263ff 281 349—350
Weak asymptotic condition      221
Weak hypercharge      300
Weak interaction      4 5
Weak isospin      24 299
Weinberg      4
Weinberg angle      303
Weinberg — Salam model      298ff 411
Weinberg — Salam theory      4 24 282 287 307
Weinberg's theorem      311 388
Wess-Zumino model      440 470ff
Weyl equation      42
Wick’s theorem      196
WKB approximation      420
Wu-Yang construction      404—406 424
Yang-Mills field      see non-Abelian gauge fields
Yukawa      3
Yukawa, potential      237
Z boson      5 305
‘In’ and ‘out’ states      217
’t Hooft      282
’t Hooft — Polyakov monopole      110 406ff 424
’t Hooft, gauges      375—377 388—389
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