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Pokorski S. — Gauge field theories

Pokorski S. — Gauge field theories

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Название: Gauge field theories

Автор: Pokorski S.

Аннотация:

Quantum field theory forms the present theoretical framework for our understanding of the fundamental interactions of particle physics. This updated and expanded volume examines gauge theories and their symmetries with an emphasis on their physical and technical aspects. A new introductory chapter gives a systematic overview to classical field theories and a short discussion of their canonical quantization and the discrete symmetries C, P and T. Coverage provides a brief exposition of perturbation theory, the renormalization program, and the use of the renormalization group equation. It then explores topics of current research interest including chiral symmetry and its breaking, anomalies, and low energy effective Lagrangians and some basics of supersymmetry. A chapter on the basics of the electroweak theory is also new to this edition, as well as an appendix that contains a complete set of Feynman rules for the Standard Model. This volume will be ideal for graduate students and researchers in theoretical physics, condensed matter physics, and applied mathematics.

Язык:

Рубрика: Физика/Квантовая теория поля/Теория калибровочных полей/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second edition

Год издания: 2000

Количество страниц: 609

Добавлена в каталог: 25.09.2005

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

Предметный указатель

$K^0-\bar{K}^0$ system      54
couplings      406
partial widths      430
in electroweak theory      410
in QED      178 183
$\bar{MS}$ renormalization scheme      186
$\bar{MS}$ renormalization scheme and line structure constant      186 226 438
$\Delta_r$       429
$\Delta_{\rho}$       416
$\epsilon_K$       66 454
$\gamma$ matrices      27 545
$\gamma$ matrices, chiral representation      545
$\gamma$ matrices, Dirac representation      545
$\pi^+-\pi^0$ mass difference      362
$\pi^0$ decay      471
action      12
Action, Euclidean      83 86
Action, quadratic in fields      87
Additive renormalization      152
Adler zero      502
Adler — Bardeen non-renormalization theorem      468 480
Altarelli — Parisi equations      312
Altarelli — Parisi function      306
Analytic continuation from Euclidean to Minkowski space      82 86 486
Angular momentum tensor      19
Annihilation, electron-positron      4 249
anomalies      457
Anomalies, abelian      480
Anomalies, and the path integral      478
Anomalies, anomaly-free models      478
Anomalies, axial      466
Anomalies, cancellation in $SU(2)\times U(1)$       475
Anomalies, chiral      468
Anomalies, in Euclidean space      486
Anomalies, non-abelian and gauge invariance      481 491
Anomalies, trace anomaly      241
Anomalous breaking of scale invariance      238
Anomalous dimension matrix      258 267
Anomalous dimensions      241 245 260
Anomalous divergence of the axial-vector current      466
Anomalous magnetic moment of the electron      193
Anti-BRS symmetry      145
Antiunitary operator      55
Appelquist — Carazzone decoupling theorem      174 229
asymptotic freedom      5 220 274
Asymptotic freedom and meson self-interaction      228
Axial gauge      132
Background field      122
Background field, and anomalies      478
Background field, method in gauge theories      279
Bare quantities      148
Becchi — Rouet — Stora symmetry      143
Bianchi identity      70
Bjorken scaling      254 297
Cabibbo angle      6 400
Canonical dimensions      159 231
Canonical quantization      35
Canonical quantization, and Feynman rules      119
Canonical quantization, and symmetries      39 42 44
Canonical quantization, annihilation operators      37
Canonical quantization, chiral fields      44
Canonical quantization, creation operators      37
Canonical quantization, Dirac fields      43
Canonical quantization, Majorana fields      45
Canonical quantization, normal ordering      37
Canonical quantization, scalar fields      36
Canonical quantization, Weyl fields      41
Canonical scaling      215 240
Causality      38
Charge conjugation      56 552
Charge conjugation, eigenstates of      61
Chiral anomaly      468
Chiral anomaly for the axial U(1) current in QCD      473
chiral perturbation theory      353
Chiral symmetry      317
Chiral symmetry, spontaneous breaking in strong interactions      324 337
Chiral theory      25 594
Classical currents      15
Classical field equations      20 35 107
Classical field equations, solutions      107 546
Classical fields      11 20 29
Colour      3
Compact groups      592
Complex representations      593
Composite operators      256
Composite operators, renormalization      256 445
Conformal algebra      269
Conformal algebra, current      236
Conformal algebra, transformations      235
Connected Green’s function      105
Connected proper vertex function      105
Conserved charges and constants of motion      15
Consistent and covariant anomaly      384
Convention for the logarithm      561
Coset      498 592
Coulomb gauge      132
Coulomb scattering      200
Counterterms      152
Counterterms, and Feynman rules      164
Counterterms, and the renormalization conditions      152
Counterterms, in the Standard Model      409 563
Covariant derivative      30 500 519
Covariant gauge      130
Covariant gauge, and ghosts      140
CP transformation      25
CP violation      64 401
CPT theorem      62
Dashen’s relation      356
Dashen’s theorems      356
Deep inelastic hadron leptoproduction      250
Deep inelastic hadron leptoproduction, Bjorken scaling      254
Dilatation current      233
Dimensional regularization      166 184
Dimensional transmutation      242 376
Dirac algebra      558
Dirac equation      27
Dirac equation, solutions      548
Dirac mass term      24
Dirac spinors      26 544
Discrete symmetries      48
Dispersion calculations in QED      196
Divergent diagrams, classification      159
Divergent diagrams, necessary counterterms      161
Double logarithms      194
Dual field strength tensor      69
Dynamical breaking of gauge symmetries      379
Effective action      107
Effective action, and spontaneous symmetry breaking      109
Effective coupling constant      215 222
Effective coupling constant in QED      223 438
Effective field theories      173 262
Effective four-fermion interactions      402 435 447
Effective four-fermion interactions, muon decay      403 422
Effective four-fermion interactions, QED corrections to muon decay      404
Effective lagrangian for FCNC transitions      447
effective Lagrangians      495
Effective lagrangians and abelian anomaly      505
Effective lagrangians and non-abelian anomaly      506
Effective low energy electroweak theory      435
Effective potential      111 122
Effective potential for $\lambda\Phi^4$       112 122
Electron form-factor      206
Electron mass in $\bar{MS}$ scheme      189
Electron self-energy      187
Electroweak theory      5 389
Electroweak theory, $\Delta_{\rho}$       416
Electroweak theory, covariant gauges      396
Electroweak theory, CP violation      401
Electroweak theory, currents      394
Electroweak theory, fermion self-energies      418

Electroweak theory, gauge boson propagators      411
Electroweak theory, lagrangian      392
Electroweak theory, physical gauge bosons      394
Electroweak theory, renormalization      407
Electroweak theory, running $\alpha(\mu)$       419 440
Electroweak theory, tree level      401
Electroweak unification      7
Energy-momentum tensor      18 234
Equations of motion      13
Equations of motion for Dirac fields      27 548
Equations of motion for gauge fields      31 35
Equations of motion for scalar fields      20
Equations of motion for Weyl fields      24 546
Euclidean action      83 86
Euclidean Dirac operator and its eigenvalue problem      487
Euclidean Green’s functions      82
Euclidean path integral and anomalies      486
Evanescent operator      424
Factorization theorem in QCD      291 304
Faddeev — Popov determinant      124 133
FCNC transitions      441
Fermi constant      6 402 428
Fermi interaction      6 402 422
Fermion generations      389
Fermion masses and mixing      398
Fermion propagator      102
Feynman gauge      132 373
Feynman integrals      559 583
Feynman propagator      39 102
Feynman propagator for gauge bosons      411
Feynman rules and canonical quantization      119
Feynman rules for $\lambda\Phi^4$       555
Feynman rules for QCD      133 557
Feynman rules for QED      556
Feynman rules for Standard Model      563
Fierz rearrangement      424 451
Fixed points      219
Functional derivative      76
Gauge dependence of the $\beta$ -function      227
Gauge invariance      1
Gauge invariance and the path integral      124
Gauge transformations, abelian      30
Gauge transformations, non-abelian      31
Gaussian integration      88
Gaussian integration, for Grassmann variables      101
Gaussian integration, integrals      560
Generating functionals      90 105
Ghosts      140
GIM mechanism      443
Global symmetries and concervation laws      13
Goldberger — Treiman relation      323
Goldstone bosons      327
Goldstone bosons, classification      380
Goldstone bosons, in QCD      337
Goldstone’s theorem      321 330 337
Graded Lie algebra      511
Grassmann variables      100
Green’s functions      79 81 83
Green’s functions, and the scattering operator      113
Green’s functions, as path integrals      83
Green’s functions, boundary conditions for      80
Green’s functions, derivatives of      85
Green’s functions, equation of motion for      121
Green’s functions, Euclidean      82 86
Green’s functions, for harmonic oscillator      121
Green’s functions, for rescaled momenta      214
GUTs      268
Hamilton’s principle      12
harmonic oscillator      78
Hierarchical symmetry breaking      378
Higgs mechanism      369 390 392
Higgs mechanism, and gauge boson propagator      371
Homotopy classes      282
Imaginary time formalism and vacuuni-to-vacuum transitions      76
Index theorem for the Dirac operator      490
instantons      286 289
IR problem in QCD      314
IR problem in QED      200
Jacobi identity for covariant derivatives      70
Jacobi identity in graded Lie algebras      512
Landau — Cutkovsky rule      141 208
Leading logarithm approximation      313
Lehman — Symanzik — Zimmermann reduction theorem      118
Light-cone and deep inelastic hadron leptoproduction      249
Light-cone, expansion      247
Light-cone, gauge      133
Light-cone, parametrization of the four-momenta      291
Loop expansion      99 112
Lorentz gauge      129
Lorentz transformations      19 23 539
Magnetic moment of the electron      193
Majorana mass term      24
Majorana spinor      27
Minimal subtraction scheme      156
Minimal subtraction scheme in $\lambda\Phi^4$       170
Minimal subtraction scheme in electroweak theory      408
Minimal subtraction scheme in QED      186
Neutral current transitions      6 405
Neutrino masses      393 399
Noether current      18 70
Noether’s theorem      18
Non-abelian gauge symmetry      31
Non-covariant gauge      132
Non-linear realization of the symmetry group      495
Non-linear realization of the symmetry group, $\sigma$ -model      495
Non-renormalization theorem in supersymmetric theories      531
Normal subgroup      592
Normalization of one-particle state and physical fields      117
One-loop Feynman integrals      583
One-loop Feynman integrals, three- and four-point functions      585
One-loop Feynman integrals, two-point functions      583
One-loop vector boson self-energies      586
One-particle states      37 42 44 117
One-particle-irreducible Green’s function      105
Operator product expansion (OPE)      243
Operator product expansion (OPE) and effective field theories      262
Overlapping divergences      163
Parity      550
Parton model      290
Path integrals and anomalies      478
Path integrals and decoupling      263
Path integrals for fermions      100
Path integrals in Euclidean space      486
Path integrals in quantum field theory      83
Path integrals in quantum mechanics      71
Pauli — Lubansky vector      19
PCAC      323 327
Perturbation theory and generating functional      90
Perturbation theory in momentum space      97
Perturbation theory, introduction      90
Photon propagator      185 186
Physical field      117 148
Poisson bracket      15
Proton decay      1
QCD      3 272
QCD corrections to CP violation      445
QCD, asymptotic freedom      274
QCD, BRS transformaton      273
QCD, group theory factors      275 595
QCD, Lagrangian      272
QCD, perturbative      290
QCD, Slavnov — Taylor identities      275
qed      177
QED, as effective theory      438
QED, IR problem      200
QED, lagrangian      177
QED, massless      194
QED, radiative corrections      184
QED, Ward — Takahashi identities      179
Vertex corrections in electroweak theory      427 433

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