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

Quark, model, simple, quantum numbers      117-18
Quarkonium      122-3 (see also $J/\psi$
Radiation gauge      248
Rank      90 433-4
Regularization schemes      33 45
Regularization schemes, covariant cutoff (conventional momentum cutoff)      45-52
Regularization schemes, covariant cutoff (conventional momentum cutoff), momentum subtractions      67-9
Regularization schemes, dimensional regularization      52-6 78 267 278
Regularization schemes, dimensional regularization, minimal subtraction      78-9
Renormalizability      45 56 60
Renormalizability renormalization, constants      40 267-8
Renormalizability, multiplicative      39 64
Renormalizability, renormalizable interaction      57
Renormalizability, renormalizable interaction, non      57 61
Renormalizability, renormalizable interaction, super      57
Renormalizability, soft symmetry breaking      187-8
Renormalizability, vector field      61-2 263-4 340
Renormalizable gauge      247 264
Renormalization      see also anomaly perturbation renormalization
Renormalization group      see also anomalous dimension effective
Renormalization group, calculations, QCD corrections, $e^{+}e^{-}$ total cross-section      297-8
Renormalization group, calculations, QCD corrections, /N scaling      303-4
Renormalization group, calculations, SU(5) GUT, coupling constant unification      439
Renormalization group, calculations, SU(5) GUT, lepton-quark mass relations      449-51
Renormalization group, calculations, SU(5) GUT, proton decay amplitude      444
Renormalization group, equations, $\beta$ functions      71-2 77 80
Renormalization group, equations, $\beta$ functions, $\lambda\phi^{4}$       72 80 82-3 281-2
Renormalization group, equations, $\beta$ functions, QCD (Yang - Mills)      286-7 289 295-6
Renormalization group, equations, $\beta$ functions, QED      283-4
Renormalization group, equations, $\beta$ functions, SU(5)      439-40
Renormalization group, equations, $\beta$ functions, Yukawa      282-3
Renormalization group, equations, $\gamma$ functions      71-2 77 80 83-4
Renormalization group, equations, $\gamma$ functions, moments of Altarelli-Parisi functions      314
Renormalization group, equations, $\gamma$ functions, QCD      307 311
Renormalization group, equations, Callan- Symanzik      70-3
Renormalization group, equations, Callan- Symanzik, asymptotic solutions      74-7 81 304 307
Renormalization group, equations, Callan- Symanzik, other forms      75 304 307
Renormalization group, physical basis      67-70
Renormalization group, summation of leading radiative corrections      82 316
Renormalization, $\lambda\phi^{4}$ theory      31-45
Renormalization, composite operator      62-6
Renormalization, constants, $Z_{A}$       285
Renormalization, constants, $Z_{g}$       285
Renormalization, constants, coupling constant      37 285
Renormalization, constants, vertex $Z_{\lambda}$       37
Renormalization, constants, wavefunction (field) $Z_{\phi}$       35
Renormalization, mass      34
Renormalization, mass, Goldstone boson      186-7
Renormalization, physical picture      30
Renormalization, programme, BPH      39-45
Renormalization, programme, conventional      31-9
Renormalization, SSB theories      182-8 189-98
Renormalization, Yang - Mills theory      284-6
Representation      87
Representation, adjoint      89 113 432 434
Representation, basis states of      87 90 92
Representation, complex      407-8 434
Representation, conjugate      89 102- 109 118 429
Representation, dimension of      87 92 101 106-7
Representation, fundamental (defining)      87 102 109 116 429
Representation, graphic representation of      95-6 99-102
Representation, irreducible      87 92 104
Representation, product      93-6 108-9
Representation, real      89 96-7 434
Representation, vector      103 109 434
Right-handed neutrino      418-20
Rotational group      89 91-2
Scaling      199 203-6 279 308 312
Scaling, $e^{+}e^{-}$       214-16 223-4
Scaling, Drell - Yan process      216-18
Scaling, lepton-nucleon (Bjorken)      203-14 218-19 224-6 308
Scaling, lepton-nucleon (Bjorken), functions      204 205
Scaling, lepton-nucleon (Bjorken), variables, ,       203
Scaling, light-cone singularities      218-19
Scaling, violations      308 310-11 312
Schr $\ddot{o}$ dinger picture      6 11
Schwinger terms      133 157
Self-dual field      481
Self-energy      32 34-5 49-50 68-9 78 449-50
Sigma$-model      149-51 403
Sigma$-term      157 160-1
Simple group      87 235 430 433 469 472
Simple group, semi-simple group      87 346 433
Singularities in product of currents      221-3 300 305
Singularities in product of field      219 298-9
Slavnov - Taylor identities      267-78
SO(2)      see U(1)
SO(3)      see SU(2)
SO(4)      see SU(2) $\times$ SU(2)
Soft photon theorems      156
Soft symmetry breaking      187
Soft symmetry breaking, and renormalizability      187-8
Soft symmetry breaking, spontaneous symmetry breaking      188
Soft-pion theorems, 1 soft pion      153-5
Soft-pion theorems, 2 soft pions      156-60 162
Solar neutrino puzzle      410
Solitons      460-9
Solitons, $\lambda\phi^{4}$ in 2 dimensions      460-4
Solitons, $\lambda\phi^{4}$ in 4 dimensions      464-5
Solitons, gauge theories with SSB (‘t Hooft - Polyakov monopole)      466-9
Spontaneous symmetry breaking (SSB)      125 141 51 240 Goldstone Higgs VEV)
Spontaneous symmetry breaking (SSB), and renormalization      182-8 264
Spontaneous symmetry breaking (SSB), and solitons      464
Spontaneous symmetry breaking (SSB), fermion masses      151 357 407 449
Spontaneous symmetry breaking (SSB), pattern of      245-6
Spontaneous symmetry breaking (SSB), radiatively induced      195-8 396-8
SSB      see spontaneous symmetry breaking
Standard electroweak theory      see Weinberg - Salam theory
String model of hadrons      323
String model of hadrons, string tension      323 333 335
String, Dirac      456-60 470
Strong coupling expansion      325 333-5
Structure function      138 201 204 211-14 305 scaling parton
Structure function, flavour non-singlet combination      305 310-12 314
Structure function, flavour singlet combination      305 308-10 314
Structure function, helicity      205 208
Structure function, moments      212-14 300-3 308 311 313-14
SU()      90 102-13
SU(2)      90-7 (see also SO(3))
SU(2) gauge theories      231
SU(2) $\times$ SU(2)      see also O(4) chiral
SU(2) $\times$ SU(2), $\sigma$ -model, SSB and Goldstone theorem      149
SU(2) $\times$ SU(2), breaking to SU(2) and $\rho=1$       352 404
SU(2) $\times$ U(1)      87 340-1
SU(2), gauge theories, Georgi - Glashow model      341 466
SU(2), gauge theories, Higgs phenomenon      243
SU(2), gauge theories, instanton      479
SU(2), gauge theories, quantization (covariant gauges)      259-63
SU(2), gauge theories, Slavnov - Taylor identity and BRS transformation      273
SU(2), isospin flavour symmetry      114-15
SU(2), Noether theorem      129
SU(3)      97-102
SU(3) $\times$ SU(3), charge algebra      130
SU(3) $\times$ SU(3), current algebra      132
SU(3), colour group      123-4
SU(3), colour group, QCD Lagrangian      291
SU(3), decouplet      116-20
SU(3), eightfold way, flavour symmetry      115-23
SU(3), octet      116-17 119-21
SU(3), quarks, free field theory of      131
SU(3), symmetry breaking      119 165
SU(3), weak current transformation properties      136
SU(4)      102
SU(4), flavour symmetry      122
SU(4), lepton-quark mass relations in SU(5) model      449
SU(4), tumbling      408-9
SU(5)      90
SU(5), GUT      428-52
SU(5), tumbling      407-9
Subgroup      86

Subgroup, invariant subgroup      87
Subtraction      34 (see also renormalization regularization
Subtraction, point (normalization condition)      68-70 78 81 82 281
Subtraction, schemes, intermediate renormalization      68-9
Subtraction, schemes, minimal (mass-independent)      78-80
Subtraction, schemes, momentum (conventional)      67-70
Subtraction, schemes, on-shell renormalization      69
Sudakov variables      318-19
Summation of leading logarithm      82 315-16 322
Supersymmetry      290 437
Symmetries, gauge, lepton symmetry, numbers, SSB, Ward identities symmetry, and group theorem      86
Symmetry      see also baryon number CP chiral symmetry currents global
Symmetry factor      9 11 32 187 193 269 503-4
Symmetry, and mass degeneracy      113-14 125-8 142
Symmetry, and renormalization      169
T-quark      122 356
Tadpole diagrams      182 183
Tadpole diagrams, and massless Goldstone bosons      186-7
Tadpole diagrams, and shift in VEV      182-6
Tau-leptons      356
Technicolour      401-9 (see also extended technicolour scale parameter $\Lambda_{TC}$ )
Tensor representation of SU()      102-13 428
Top      see t-quark
Topological conservation law      463-4
Topological winding number All      9 480 483-7
Tumbling      407-9
Twist      299-300 305 309
U(1)      86 (see also SO(2))
U(1), axial U(1) problem      294 487
U(1), gauge symmetry      229-31
U(1), Goldstone theorem      147-9
U(1), Goldstone theorem, at one-loop level      186
U(1), Higgs phenomenon      241-3
U(1), Noether theorem      128-9
U(1), vector Ward identity, radiative correction      170 3
Unitarity, Abelian gauge theory      263-4 266
Unitarity, and renormalizability in weak interaction theory      338 342-5
Unitarity, and Ward identities      268-73 278
Unitary gauge      242 244 263 349-51 426
Unitary group      86
Universality, Cabibbo      365 373
Universality, gauge theory      231 235
VACUUM      18
Vacuum expectation value, condition for SSB      143
Vacuum expectation value, effective potential formalism      189
Vacuum expectation value, one-loop perturbative shift      182-6
Vacuum expectation value, sizes in electroweak unification      353 402 436
Vacuum expectation value, sizes in electroweak unification, in GUT      436
Vacuum polarization      297 383 404
Vacuum saturation approximation      380
Vacuum, degenerate vacua in theories with SSB      143 464
Vacuum, multiple vacua with different winding number      482-6 (see also $\theta$ -vacuum)
Vacuum, QCD      323 493
Vacuum-to-vacuum amplitude      18 29 189 254 259 275 484 487
Value V - A theory      135 204 336-8 353 364
Vector meson masses, and renormalizability      60-2 264 338-9
Vector meson masses, gauge fields      231 235
Vector meson masses, hadrons      see Gell - Mann - Okubo formula
Vector meson masses, Higgs phenomena      240-7
Vector meson masses, W and Z      351-2 355 387-8
Vector-axial-vector ambiguity in neutrino reactions      367
Vertex renormalization constant      37 285
VEV      see vacuum expection
w      see also Z
W, in pre-gauge-theory models      338-9 342-4
W, in standard SU(2) $\times$ U(1) theory      351-3 379 384-94
W, in standard SU(2) $\times$ U(1) theory, decays, leptonic branching ratio      389
W, in standard SU(2) $\times$ U(1) theory, Higgs      390
W, in standard SU(2) $\times$ U(1) theory, width      389
W, mass      387-8
W, production in Drell - Yan process      394
Ward identitiesm      156 169 267-8
Ward identitiesm, and unitarity      267 268-73
Ward identitiesm, axial-vector current in QED      173-9
Ward identitiesm, non - Abelian gauge theories (Slavnov - Taylor identities)      272-8
Ward identitiesm, vector current in $\lambda\phi^{4}$       170-3
Weak axial nucleon coupling      see $g_{A}$
Weak charged currents      see currents
Weak eigenstate      see gauge interaction eigenstate
Weak hypercharge      346-8 431 439
Weak interaction theories, Fermi      336
Weak interaction theories, Georgi - Glashow SO(3)      341-2
Weak interaction theories, IVB      338-9
Weak interaction theories, standard SU(2) $\times$ U(1)      see Weinberg-Salam theory
Weak interaction theories, V - A      135 204 336-8 353 354 364
Weak mixing angles      see Cabibbo angle KM lepton Weinberg
Weak neutral currents      see currents
Weak radiative correction to QCD Lagrangian      294 5
Weinberg - Salam theory, choice of SU(2) $\times$ U(1) group      340-5
Weinberg - Salam theory, fermions, anomaly cancellation      347-8
Weinberg - Salam theory, fermions, neutral current couplings      354 365 391
Weinberg - Salam theory, fermions, quantum number assignment      345-6
Weinberg - Salam theory, global symmetries      355-63
Weinberg - Salam theory, global symmetries, baryon and lepton numbers      355
Weinberg - Salam theory, global symmetries, CP violation      359-61
Weinberg - Salam theory, global symmetries, muon number      362
Weinberg - Salam theory, Higgs particle      348-50 394-401
Weinberg - Salam theory, Higgs particle, $\rho = 1$ and isodoublet structure      352 394
Weinberg - Salam theory, Higgs particle, massless neutrinos      361 417-18
Weinberg - Salam theory, SSB      348-50
Weinberg - Salam theory, W and Z gauge bosons      351-4 386-94
Weinberg angle, definition      352
Weinberg angle, SU(5) prediction      439-41
Weinberg angle, value from neutral current processes      354 365
Weinberg angle, value from neutral current processes, $\nu$ N scatterings      369-70
Weinberg angle, value from neutral current processes, pure leptonic      365-9
Weinberg angle, W - Z mass relation      352 364 387
Weinberg's theorem on asymptotic behaviour of Green's functions      73-4
Weinberg's theorem on convergence of Feynman integrals      42-3
Weinberg-Salam theory      see also CP symmetry GIM generation Higge Kobayashi-Maskawa weak Weinberg
Wick rotation      47
Wick theorem      8-10 21 62 221
Wilson coefficient      298 300-2 303-4
Wilson loop      331 4
Winding number      see topological winding number
WKB approximation and imaginary time      484-6
Would-be-Goldstone boson      243 244 247 263-7 351 420-6
Yang - Mills fields      see non - Abelian gauge fields
Young tableau      104-9 117-19
Young tableau, conjugate representation      109
Young tableau, dimension of irreducible representation      106-8
Young tableau, distance to the first box      107
Young tableau, fundamental theorem      106
Young tableau, hook length      107
Young tableau, lattice permutation      108-9
Young tableau, product representation      108-9
Young tableau, standard tableau      105-6
Yukawa couplings      349-50 357 395
Yukawa couplings, $\beta$ -function      282-3 290
Yukawa couplings, fermion masses in SSB theories, $\sigma$ -model      151
Yukawa couplings, fermion masses in SSB theories, extended technicolour theories      406
Yukawa couplings, fermion masses in SSB theories, neutrino masses      418-19
Yukawa couplings, fermion masses in SSB theories, SU(5) model      448-51
Yukawa couplings, fermion masses in SSB theories, Weinberg - Salam theory      349-50 357 395
Yukawa couplings, global symmetry properties, B - L in minimal SU(5)      451-2
Yukawa couplings, global symmetry properties, B and L in electroweak theory      355
Yukawa couplings, global symmetry properties, CP      386
Z      351-4 364
Z decays, branching ratios      392
Z decays, counting neutrino flavours      393
Z decays, Higgs      392 399
Z decays, neutrino pair final states      391
Z production in Drell - Yan processes      394
Z, mass      387-8 (see also p-parameter)
Zweig rule      121-2 165
ZWW couplings      393
‘t Hooft - Feynman gauge      263 268 277 379 426
‘t Hooft - Polyakov monopole      453 466-75 solitons)
‘t Hooft - Polyakov monopole, as Dirac monopole      469-71
‘t Hooft - Polyakov monopole, charge quantization and simple group      469 472

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