Cheng T.P., Li L.F. — Gauge theory of elementary practicle physics :: Электронная библиотека попечительского совета мехмата МГУ

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Cheng T.P., Li L.F. — Gauge theory of elementary practicle physics

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Название: Gauge theory of elementary practicle physics

Авторы: Cheng T.P., Li L.F.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 158

Добавлена в каталог: 24.03.2013

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

Предметный указатель

$e^{+} e^{-} \to$ hadrons from short-distance elementary scalars      151
$e^{+} e^{-} \to$ hadrons from short-distance quarks      151
$i \varepsilon$ prescription      33
$W^{\pm} \to$ hadrons      156
$\beta$ -function      63
$\beta$ -function, $\lambda \phi^{4}$ theory      66
$\beta$ -function, QCD two loops      191
$\beta$ -function, QED      67
$\beta$ -function, Yukawa      72
$\beta$ -function, zeros      69 70
$\Delta l = \frac{1}{2}$ rule      227 see
$\lambda \phi^{4}$ theory, counterterms      37
$\lambda \phi^{4}$ theory, renormalization constants      64
$\lambda \phi^{4}$ theory, symmetry factors      1
$\mu \to e \gamma$ and heavy neutrions      244 see
$\sigma$ -model, linear, broken generators      122
$\sigma$ -model, linear, chiral symmetry      115
$\sigma$ -model, linear, commutators      115
$\sigma$ -model, linear, Goldstone bosons      122
$\sigma$ -model, linear, PCAC      123
$\sigma$ -model, linear, spontaneous symmetry breaking      122
$\sigma$ -model, non-linear, divergences      39
$\sigma$ -model, non-linear, exponential form      128
$\sigma$ -model, non-linear, square-root form      126
$\sigma$ -model, non-linear, square-root of the exponential form      130
$\tau$ -lepton decays, $\tau \to e \nu \bar{\nu}$ , $\tau \to \mu \nu \bar{\nu}$       222
$\tau$ -lepton decays, $\tau \to \pi \nu$ and $f_{\pi}$       222
Anomalous dimension      63
Anomalous dimension, composite operators      77
Antiquark density      146 see
Asymmetry, polarization or left-right asymmetry in Z decays      221
Atomic parity violation      218
Atomic parity violation, coherence effect      218
Axial anomaly in a technicolour theory      238
Axial anomaly, $\eta \to \gamma \gamma$ and $\pi^{0} \to \gamma \gamma$       140
Axial anomaly, path-integral (Fujikawa) derivation      136
B-L conservation      216
B-non-conserving operators      260
Biunitary transformation      215 see
BRST transformations      184
BRST transformations and physical states      186
BRST transformations, Gupta — Bleuer formalism      187
BRST transformations, nilpotent charges      184
Cabibbo mixing angle      211
Cabibbo mixing angle and quark masses      216
Callan — Symanzik equation      64
Cartan subalgebra      262
Chiral algebra $SU (2)_{L} \times SU (2)_{R}$       120
Chiral symmetry, linear realization with $\sigma$ -field      115
Chiral symmetry, non-linear realization without $\sigma$ -field      126 128 130
Clebsch — Gordon coefficients      90 93
Clifford algebra      263
Collinear divergence      193
Covariant derivative, adjoint representation      158
Covariant derivative, fundamental representation      158
Covariant derivative, O (n) vector representation      165
Covariant derivative, parallel transport of a field      161
Cross-section, $e^{+} e^{-} \to$ three jets      193
Cross-section, $e^{+}e^{-} \to$ hadrons      151
Cross-section, $\lambda \phi^{4}$ scattering      1
Cutkosky rules      62
Cutkosky rules, $\lambda \phi^{3}$ theory      59
Decay rate, $H \to W^{+} W^{-}$ , ZZ, $t \bar{t}$       234
Decay rate, $W^{\pm} \to$ hadrons      156
Decay rate, $\eta \to \gamma \gamma$       141
Decay rate, $\pi^{+} \to \mu^{+} \nu_{\mu}$       125 208
Decay rate, $\pi^{+} \to \nu_{e}$       208
Dimensional regularization      46
Dimensional regularization, arbitrary mass scale      63
Dimensional regularization, QFD vacuum polarization      49
Disconnected diagram      8
Disconnected diagram, cancellation via Wick's theorem      8
Effective potential, one-loop      143
Electroweak gauge couplings and electric cnarge      213
Electroweak gauge couplings, neutral current coupling      213
Equivalence theorem      230
Fermion masses and mixing angles      214 215
Fermion masses and mixing angles, leptonic mixings in a vector-like theory      250
Field strength tensor      158
Field strength tensor, commutator of covariant derivatives      165
Field strength tensor, Riemann curvature tensor $R_{\alpha \beta \delta}^{\gamma}$       165
Gauge field as compensating field      161 162
Gauge field, Christoffel symbols $\Gamma_{\alpha \beta}^{\mu}$       163
Gauge field, tensor notation      158
Gauge field, the connection in geometry      163
Gauge field, transformation property      161 163 166
Gauge invariance, local symmetry      162
Gauge invariance, scattering amplitude      180
Gauge invariance, Ward identity      180
Gaussian Integrals      12
Gaussian wave packet      16
General coordinate transformation      163
General relativity as a gauge theory      163
Generating functional for a scalar field      32
Goldstone bosons, $\sigma$ -model      122
Goldstone bosons, broken generators      167
Gottfried sum rule      146
Green's function, Feynman propagator      32
Green's function, four-point function      7
Green's function, gauge boson propagator      175
Green's function, involving composite operator      2
Green's function, one-point (the tadpole diagram)      56 143
Green's function, two-point function      1 8
Harmonic oscillator, path integral      17 23
Helicity state      205
Helicity state, pion decay      211
Higgs boson, $Z \to H H$ forbidden in the standard model      226
Higgs boson, decays $H \to W^{+} W^{-}$ , ZZ, $t \bar{t}$       234
Higgs Lagrangian in 2 + 1 dimensions      280 see
Higgs phenomenon and superconductivity      173
Higgs potential      212 see
Instanton, Euclidean double-well problem      295
Instanton, one-dimension field theory      289
Invariant couplings, SU (2) vector representations      89
Invariant couplings, SU (3) octet baryon-meson      100
Isospin breakings      90
Isospin, non-leptonic weak processes      107
Isospin, two-pion system      105
Left-right asymmetry      221 see
London equation      173 see
Majorana fermions      239
Majorana fermions, bilincars      240
Majorana fermions, charge conjugation properties      240
Majorana fermions, creation and annihilation operators and their anticommutators      240
Mass-matrix diagonalization      214 see
Meissner effect      173 see
Monopole, angular momentum operator      283
Monopole, particle moving in a monopole field      283
Muon number non-conservation, $\mu \to e \gamma$       244
Muonium-antimuonimum transition      252
n-dimensional space      53
n-dimensional space 'spherical' coordinates      43
n-dimensional space infinitesimal volume      43
n-dimensional space, Feynman integrals      46
Neutrino electron scatterings, $\nu_{e} + e^{-} \to \nu_{e} + e^{-}$       223
Neutrino electron scatterings, $\nu_{\mu} + e^{-} \to \nu_{e} + \mu^{-}$       223

Neutrino, right-handed, in SO (10) theory      274
Noether's current, conservation laws      113
Noether's current, isospin axial-vector current      118 123
Noether's current, isospin vector current      117
Noether's current, Lagrangian with second derivatives      111
Noether's current, scalar fields      110
Non-leptonic weak decays      107
Non-leptonic weak decays, $\Delta l = \frac{1}{2}$ rule      109 227
Non-leptonic weak decays, CP properties of $K^{0} \to 2 \pi, 3 \pi$       225
Non-leptonic weak decays, enhancement by short distance QCD effects      230
Non-linear $\sigma$ -model      39 see "Chiral
O (n) gauge theory      165
Operator-product expansion of two charged weak currents      155
Operator-product expansion of two electromagnetic currents      198
Operator-product expansion, Wilson coefficients      147 150 199 201
Parity violation, atomic      218
Parity violation, weak neutral current      218
Partition function      23 see
Path integral, axial anomaly      136
Path integral, free particle      11
Path integral, general quadratic action      13
Path integral, harmonic oscillator      17
Path integral, non-standard representation      25
Path integral, partition function      21
Permutation symmetry      95
Permutation symmetry, spin and isospin      96
Phase space      193 see "Decay
Phase space, three-body      193
Phase space, two-body      2 210
Pion decay constant $f_{\pi}$       125 128 208 222
Planar vortex field      280
Planar vortex field, magnetic flux quantization      281
Polarization asymmetry      221 see
Polarization vector for a fermion      206
Propagator, gauge boson in covariant $R_{\xi}$ gauge      175
Propagator, gauge boson in the axial gauge      177
Propagator, gauge boson in the Coulomb gauge      178
Propagator, gauge boson, longitudinal part and Ward identity      184
Propagator, gauge boson, massive vector boson      176
QCD loops, $\beta$ -function at two-loop order      191
QCD loops, $\Delta l = \frac{1}{2}$ rule      227
QCD loops, colour factors      188
QED, $\beta$ -function      67
QED, renormalization power counting      38
QED, vacuum polarizaiion      49
QED, Ward identity      180
Quark, SU (3) algebra      83
Renormalization constants      64
Renormalization group equation, $\lambda \phi^{4}$ theory      71
Renormalization group equation, homogeneous      63
Renormalization group equation, solution by Coleman's method      75
Renormalization group equation, Yukawa coupling      72
Renormalization, composite operators      57
Renormalization, counterterm      37
Renormalization, counterterm, composite operators      58
Renormalization, power counting      37
Renormalization, power counting, low-dimensional field theory      41
Renormalization, power counting, non-linear chiral theory      40
Renormalization, power counting, QED      38
Renormalization, renormalized mass      57
Running coupling      64 67 69
Running coupling in two QCD loops      191
Running coupling near a general fixed point      70
Saddle-point method      289
Scalar potential, first-order phase transition      172
Scalar potential, SU (5) grand unified theory      256
Scalar potential, SU (n) gauge theory with adjoint scalars      169
Scalar potential, SU (n) gauge theory with vector scalars      167
Scalar potential, uniqueness of the standard model potential      212
Short-distance physics, $e^{+} e^{-} \to$ hadrons      151
Short-distance physics, $W^{pm} \to$ hadrons      156
Short-distance physics, $\Delta l = \frac{1}{2}$ rule      227
Sine-Gordon equation      275 see
SO (10), spinor representation 16 and $\nu_{R}$       274
SO (2n) and SU (n) groups      267
SO (n) group algebra      260
SO (n) group algebra, $SO (4) \simeq SU (2) \times SU (2)$       263
SO (n) group algebra, Cartan subalgebra      262
SO (n) group algebra, spinor representations      263
SO (n) group algebra, spinor representations, construction of SO (2n) spinors      269
Soft symmetry breaking and renormalizability      142
Soliton stability against small perturbation      283
Soliton, scalar field in two dimensions      282
Spin states addition, isospin wave functions of two pions      105
Spin states addition, three spins      93
Spin states addition, two spins      85
Spin states addition, two SU (3) fundamental representations      97
Spin vector      206 see
Spontaneous symmetry breaking by an adjoint scalar      169
Spontaneous symmetry breaking by scalars in the vector representations      133
Spontaneous symmetry breaking in large $N_{r} QCD$       171
Spontaneous symmetry breaking, $O (n) \to O (n - k)$       135
Spontaneous symmetry breaking, $SU (5) \to SU (3) \times SU (2) \times U (1)$       258
Spontaneous symmetry breaking, $SU (5) \to SU (4) \times U (1)$       258
Spontaneous symmetry breaking, $SU (n) \to SU (n - k)$       135 167 168
Spontaneous symmetry breaking, $\sigma$ -model      122
Spontaneous symmetry breaking, broken generators      122 167
Spontaneous symmetry breaking, coset space      171
SU (2) representations      82
SU (2) representations, adjoint representation      87 88
SU (2) representations, invariant couplings      89
SU (2) representations, real representations      79
SU (3) algebra, invariant octet baryon-meson couplings      100
SU (3) algebra, quarks      83
SU (5), Higgs potential for adjoint scalars      256
SU (5), massive gauge bosons      258
SU (5), representation content with respect to $SU (3) \times SU (2)$       255
SU (n) group      158
SU (n) group, parameters and generators      79
Subtraction schemes, minimal (MS)      52 56
Subtraction schemes, modified minimal $(\overline{MS})$       53 56 65 68
Subtraction schemes, momentum      56
Superconductivity as a Higgs phenomenon      173
Symanzik theorem      143 see
Symmetry factor      1
Technicolour theory, anomaly condition      238
Technicolour theory, pseudo-Goldstone bosons      239
Transition amplitude and energy eigenfunction      18
Transition amplitude, Hamiltonian representation      12
Transition amplitude, harmonic oscillator      17
Transition amplitude, path integral (Lagrangian) representation      12 14
Transition amplitude, prefactor      13 15
Transition amplitude, prefactor, harmonic oscillator      19
Unitarity, S-matrix and T-matrix      62
Unitary matrix and hermitian matrix      78
Unitary matrix, Baker — Hausdorff relation      81
Unitary matrix, SU (n)      79 158
Vacuum polarization      49 67
Weyl ordering of operators      27
Wick's theorem      1
Wick's theorem, disconnected diagram cancellation      8
Wigner — Eckart theorem      90 108
Wilson coefficients      147 see
Would-be Goldstone boson, longitudinal gauge boson component      232 see
Would-be Goldstone boson, scattering amplitudes      233
Z boson decays into fermions      221 see
Z boson decays into Higgs bosons      226

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