Cheng T.-P., Li L.-F. — Gauge Theory of Elementary Particle Physics :: Электронная библиотека попечительского совета мехмата МГУ

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Cheng T.-P., Li L.-F. — Gauge Theory of Elementary Particle Physics

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Название: Gauge Theory of Elementary Particle Physics

Авторы: Cheng T.-P., Li L.-F.

Аннотация:

This is a practical introduction to the principal ideas in gauge theory and their applications to elementary particle physics. It explains technique and methodology with simple exposition backed up by many illustrative examples. Derivations, some of well known results, are presented in sufficient detail to make the text accessible to readers entering the field for the first time. The book focuses on the strong interaction theory of quantum chromodynamics and the electroweak interaction theory of Glashow, Weinberg, and Salam, as well as the grand unification theory, exemplified by the simplest SU(5) model. Not intended as an exhaustive survey, the book nevertheless provides the general background necessary for a serious student who wishes to specialize in the field of elementary particle theory. Physicists with an interest in general aspects of gauge theory will also find the book highly useful.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1988

Количество страниц: 548

Добавлена в каталог: 18.06.2009

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Предметный указатель

$(3, 3^{*})\oplus(3^{*}, 3)$ model      162 (see also chiral symmetry breaking)
$A_{0} = {0}$ gauge      482
$d^{abc}$ symbol      163 432
$e^{+}e^{-}$ annihilation      see also forward-backward asymmetry in $e^{+}e^{-}\rightarrow \mu^{+}\mu^{-}$ quarkonium
$e^{+}e^{-}$ annihilation, jets      216
$e^{+}e^{-}$ annihilation, total hadronic cross-section, colour      216
$e^{+}e^{-}$ annihilation, total hadronic cross-section, free field singularities      223-4
$e^{+}e^{-}$ annihilation, total hadronic cross-section, QCD corrections      296-8
$e^{+}e^{-}$ annihilation, total hadronic cross-section, quark-parton model      215-16 291
$e^{+}e^{-}$ annihilation, total hadronic cross-section, ratio       215-16 224
$f^{abc}$ symbol      98 131-2 163
$g_{A}$       153 160
$J/\psi$       122 (see also charm)
$K^{\circ}-\bar{K}^{\circ}$ system      374-85 (see also GIM CP charm)
$K^{\circ}-\bar{K}^{\circ}$ system, $K_{L} - K_{S}$ mass difference      372 377 380-1
$K^{\circ}-\bar{K}^{\circ}$ system, CP parameters      376-8 383-5
$R_{\zeta}$ gauge, Abelian      263-7
$R_{\zeta}$ gauge, non - Abelian case      267
$R_{\zeta}$ gauge, standard SU(2) $\times$ U(1) theory      420 506-12
$\beta$ -decays      153 336 373
$\eta$ -mass problem      488-92 (see also axial U(1) problem)
$\eta\rightarrow 3\pi$       167 490 isospin
$\mu\rightarrow e\gamma$       362 409 420-7
$\pi^{0}\rightarrow 2\gamma$       180-2
$\pi^{0}\rightarrow 2\gamma$ , anomaly      181
$\pi^{0}\rightarrow 2\gamma$ , colour      182 291
$\rho$ -parameter      352 364 394
$\rho$ -parameter, experimental value      387 419
$\rho$ -parameter, for weak isospin of Higgs,       419
$\rho$ -parameter, for weak isospin of Higgs,       352
$\rho$ -parameter, for weak isospin of Higgs, general       394
$\sigma$ -term, $\pi$ N      157-60 161 165-6
$\sigma$ -term, pseudoscalar meson masses      162 164 166-7
$\theta$ -vacuum      486-7 490-3 axial
$\Upsilon$       122 (see also b-quark)
Abelian group      86 128-9
action      3
Action, lattice field theory      326-31
Action, self-dual Euclidean gauge field      481
Action, Yang - Mills theory in covariant gauges      259
Adler - Bardeen theorem      179
Adler - Bell - Jackiw (ABJ) anomaly      173-82 (see also anomaly)
Adler - Weisberger sum rule      158-60
Adler consistency conditions      155 161
Adler current algebra sum rule      137-41 212-13
Aharonov - Bohm effect      458 474
Algebra, charge      130
Algebra, current      130-4 136 139-40
Algebra, SU(2) x U(1)      340-1
Algebra, SU(5)      431
Altarelli - Parisi equation      312-14 319-21
Angular momentum and monopole      455-6 471-2
Anomalous dimension      74 77 84 307-11 314 322
Anomaly      173-82 (see also axial U(1) problem)
Anomaly, and renormalizability      278
Anomaly, cancellation, $SU(3)_{C}\times SU(2)_{L}\times U(1)_{Y}$       347-8
Anomaly, cancellation, SU(5)      432
Anomaly, instantons      488
Anomaly, non - Abelian cases      179-80
Anomaly, non-renormalization theorem      179
Anomaly, triangle diagram      176-9
Appelquist - Carazzone theorem      see decoupling of heavy particles
asymptotic freedom      84 280-91 322 335
Asymptotic freedom, and confinement      322-3 335
Asymptotic freedom, applications, $e^{+}e^{-}$       296-8
Asymptotic freedom, applications, /N      298-311 316-22
Asymptotic freedom, discovery      280
Asymptotic freedom, in gauge theories with scalar mesons      289-90
Asymptotic freedom, in non - Abelian gauge theories      284-7
Asymptotic freedom, paramagnetic property of Yang - Mills vacuum      287-9
Atomic parity experiments      370
Axial gauge      248 254-7 271 317-18
Axial gauge, polarization sum of vector particles      271
Axial U(1) problem      294 487-92 instantons Kogut
Axial-vector current Ward identity anomaly      173-82 (see also anomaly)
Axion      493
B      see baryon number
B - L      418 443 451-2
B-quark      122 356
Baryon masses      119-20 165-6
Baryon number, baryon minus lepton number      292; see B - L baryon number conservation
Baryon number, baryon number, asymmetry in the universe      444-6
Baryon number, conservation in standard electroweak theory      355
Baryon number, non-conservation in GUT      442-6
Bilocal operators      223-5 299-300
Biunitary transformation      65 293 357-9
Bjorken scaling      see scaling
Bloch - Nordsieck theorem      316-17 321
Bottom      see b-quark
BPH renormalization      39-45 56 67
BRS transformation      273-6
C-quark      see charm
Cabibbo - Kobayashi - Maskawa (CKM) matrix      see Kobayashi - Maskawa mixing
Cabibbo angle      136 210 337 356 371 373
Cabibbo universality      373
Callan - Gross relation      207-8
Callan - Symanzik equation      70-7
Canonical commutation relations      4 248
Canonical dimension      58-9 61 77
Canonical quantization formalism      3-11 255
Casimir operator      91 408
Charge conjugation      412 429 445-6 448
Charge quantization      346
Charge quantization, grand unification      430-1
Charge quantization, magnetic monopole      455 469
Charm      121-2 337 Zweig
Chiral symmetry      125-68 294 403 488-92
Chiral symmetry, algebra      132 136
Chiral symmetry, breaking      125 151-2 160-8
Coleman - Weinberg mechanism      see radiative induced spontaneous symmetry breaking
Collinear singularities      317 (see also mass singularities)
Colour      123-4 291 401
Colour flux tubes      323
Colour, $e^{+}e^{-}$ hadronic total cross-section      216
Colour, $\pi^{0}\rightarrow 2\gamma$       182
Colour, anomaly cancellation      348
Colour, fractional quark charge      431
Colour, magnetic charges of GUT monopole      474
Composite field operators      62-6 73 221
Composite field operators, mixing under renormalization      65-6 307-10 314
Composite Higgs particle      401-2
Composite operator      64-6
condensate      see vacuum expectation value
confinement      124 279 322-3
Confinement, and asymptotic freedom      322-3 335
Confinement, criteria      331-3
Confinement, linearly rising potential      323 333-4
Confinement, Wilson loop      331 3
Conserved vector current (CVC) hypothesis      136
Cosmology      see also baryon number asymmetry cosmological
Cosmology, closed, open, flat universe      415-16
Cosmology, critical mass density $\rho_{c}$       415-16
Cosmology, Hubble's law and constant      415
Cosmology, primodial, blackbody photon radiation      415-16 445
Cosmology, primodial, helium abundance      415 445
Cosmology, primodial, neutrinos      416
Counterterm, BPH renormalization      40-5 58-60
Counterterm, gauge theory renormalization      267-8
Counterterm, Goldstone boson mass, absence of      186-7
Counterterm, minimal subtraction scheme      78-80
Counterterm, soft symmetry breaking      186-8
Coupling constant      see also asymptotic freedom gauge pion-nucleon
Coupling constant, dependence on subtraction point      81-2
Coupling constant, dimension and renormalizability      57
Coupling constant, effective      75-6 81-5 295-6 437-41
Coupling constant, renormalization      36-7 285
Coupling constant, unification      437-41
Coupling coupling constant, definition      36 52 59 81-2
Covariant derivative      230 232 233
Covariant derivative, as connection      236

Covariant derivative, SU(2) x U(1)      348
Covariant derivative, SU(5)      439
Covariant gauges      257-67 (see also Landau gauge Lorentz ‘t unitary
CP symmetry, B-asymmetry in the universe      445-6
CP symmetry, electric dipole moment      385-6 492
CP symmetry, Kobayashi - Maskawa theory      359-61
CP symmetry, neutral Kaon system      376-8 383-5
CP symmetry, phases      356 359-61 442
CP symmetry, soft v. hard violation      386 493
CP symmetry, strong CP problem      492-3 (see also $\theta$ -vacuum)
Current algebra      125 180 279 488
Current algebra, Adler's sum rule      137-41
Current algebra, soft pion theorems      151-67
Current algebra, soft pion theorems, $\eta\rightarrow 3\pi$ problem      167 490
Current algebra, soft pion theorems, $\pi$ N scattering length      159
Current algebra, soft pion theorems, $\pi^{0}\rightarrow 2\gamma$       180-2
Current algebra, soft pion theorems, $\sigma$ -terms      157-9
Current algebra, soft pion theorems, $\sigma$ -terms, $\pi$ N $\sigma$ -term      161 165-6
Current algebra, soft pion theorems, $\sigma$ -terms, pseudoscalar meson masses      119 164
Current algebra, soft pion theorems, $\sigma$ -terms, pseudoscalar meson masses, $\eta$ -mass problem      488-92
Current algebra, soft pion theorems, $\sigma$ -terms, pseudoscalar meson masses, Dashen sum rule      167
Current algebra, soft pion theorems, Adler - Weisberger sum rule      158-60
Current algebra, soft pion theorems, Adler's consistency condition      155 161
Current algebra, soft pion theorems, Goldberger - Treiman relation      153-5 160 161
Current commutators      130-2 136 201 223-5
Current conservation      127 144 170 174 201
Current conservation, symmetry conservation laws      see Noether theorem
Current conservation, topological conservation laws      463-4
Current-current interaction, baryon number nonconserving current      443
Current-current interaction, charged weak current      see V - A interaction
Current-current interaction, neutral weak current      354 365
Currents, anomaly      480 488-9
Currents, axial-vector      173-4 223 488
Currents, commutator      130 136 200-1 223-5
Currents, physical, electromagnetic      134 200 222 340
Currents, physical, weak, charged      135-6 204 337 340 353
Currents, physical, weak, neutral      336 342
Currents, physical, weak, neutral, flavour-conserving      353 4 362 364-71
Currents, physical, weak, neutral, strangeness changing      337 362-3 371-2 378-83
Currents, symmetry (Noether)      127-8 134
Currents, topological      463
Dashen sum rule      167
Decoupling of heavy particles      409 436 437-41
Deep Euclidean limit, asymptotic behaviour of Green's functions      73- 7 81 280
Deep Euclidean limit, deep inelastic /N scattering      199-214 218-26
Deep inelastic scattering      84 199
Diagonalization of mass matrices      357-9
Dimensional transmutation      196-7
diquark      442 (see also leptoquark)
Dirac monopole      453
Dirac monopole, and angular momentum      455-6
Dirac monopole, and ‘t Hooft - Polyakov monopole      469-71
Dirac monopole, quantization condition      455-60 469
Dirac monopole, string      456-60 470
Dirac monopole, Wu - Yang formulation      460
Dirac quantization condition      455-60 469
Dirac string      456-60 470
Direct product group      87
dispersion relation      159 60 301-2
Divergences      30 33
Divergences, disjoint      45
Divergences, index of      57 59 188
Divergences, linear      34 176
Divergences, logarithmic      33 34 176
Divergences, nested      45
Divergences, overlapping      45
Divergences, power counting method      56
Divergences, primitive      33 44
Divergences, quadratic      34 42 50 437
Divergences, superficial degree of      40-1 43 57 73
Double $\beta$ -decay, neutrinoless      414
Drell - Yan processes, perturbative QCD      322
Drell - Yan processes, quark-parton model      216-18
Drell - Yan processes, W and Z production      394
Dual field      454 480
Dual field, self dual field      481
Duality transformation of Maxwell equation      454
Dynamical fermion masses      168 408
Dynamical symmetry breaking      401-9 (see also composite Higgs particles technicolour)
Effective potential formalism      189-91
Eightfold way      90 114 116-21
Electric charge      see also charge quantization
Electric charge, and Weinberg angle      353
Electric charge, as gauge coupling      230
Electric charge, in electroweak theory      340-2 346-8 353
electric dipole moment      385-6 492
Electromagnetic current      see currents
Electroweak unification      336 339-40
Energy-momentum tensor      309-10
Euclidean field theories, fermion      328
Euclidean field theories, gauge theory      479
Euclidean field theories, scalar      326
Euclidean gamma matrices      328
Extended technicolour      406-9
Factorization of singularities      296 298 315-16 321
Faddeev - Popov ansatz      254
Faddeev - Popov determinant      253-4 257-8
Faddeev - Popov ghosts      258 261-3 269-73
Faddeev - Popov ghosts, absence of ghosts in Abelian case      257
Faddeev - Popov ghosts, absence of ghosts in axial gauge      255 273
Faddeev - Popov ghosts, absence of ghosts in lattice gauge theory      333
Faddeev - Popov ghosts, and unitarity      273
Faddeev - Popov ghosts, BRS transformation      274
Faddeev - Popov ghosts, loop      263 270 285
Faddeev - Popov ghosts, Ward identities      272 277
Fermi constant      135 204 336 339 353 373
Fermi constant, gauge boson mass      353 355
Fermi theory of $\beta$ -decays      336
Fermion family replication problem      363 429
Fermion masses      see also chiral symmetry quark vacuum
Fermion masses, Dirac and Majorana types      412-14
Fermion masses, in theories with spontaneous symmetry breaking      151
Fermion masses, in theories with spontaneous symmetry breaking, in minimal SU(5) model      449-51
Fermion masses, in theories with spontaneous symmetry breaking, in technicolour theories      405-9
Fermion masses, in theories with spontaneous symmetry breaking, in Weinberg - Salam model      351 357 395
Fermion masses, mass matrix      357 9 mass
ferromagnetism      142-3
Feynman parameters      46
Feynman rules      3-4 22 498-512
Feynman rules, $\lambda\phi^{4}$       10-11 183 186 498 504
Feynman rules, Abelian $R_{\zeta}$ gauge      264-5
Feynman rules, covariant gauges      259-63 504-6
Feynman rules, fermion loop      23 29
Feynman rules, path integral quantization      498-503
Feynman rules, QED      504-5
Feynman rules, R_{\zeta} gauge Weinberg - Salam theory      506
Feynman rules, scalar QED      505
Fierz transformation      354 382 443 495
Fine structure constant (at $M_{w}$ )      388 438
Fixed point      82-3 (see also renormalization group)
form factors      153 202
Forward-backward asymmetry in $e^{+}e^{-}\rightarrow\mu^{+}\mu^{-}$       368-9
Four-fermion effective Lagrangian      see current-current interaction
Functional integration      3 12 23
Gauge      see also Euclidean gauge theory Higgs lattice pure-gauge instantons solitons
Gaussian integral      13 19 26-9 249 256-8
Gell - Mann - Nishijima relation      115 135
Gell - Mann - Okubo mass formula      119-20 164 166
Generating functional      16-21 23 29 189 249 255-61 275
Generation      340 355-63 429 447 kinship interfamily
Generator (symmetry group)      88-90 (see also Noether theorem SU(2) SU(3) SU( SU(2) SU(3) SU(5))
Geometry of curved space      236-8
Georgi - Glashow models, SO(3)      341-2 466-72
Georgi - Glashow models, SU(5)      428-52 472-5
GIM mechanism      337 262-3 371-2 378-83 420 427 charm)
GIM mechanism, coupling constant      230 232 234-5 coupling
GIM mechanism, field      230 232 234 238 240
GIM mechanism, field, couplings, fermion      231 263
GIM mechanism, field, couplings, ghost      262
GIM mechanism, field, couplings, self      234 262

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