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Moriyasu K. — An Elementary Primer for Gauge Theory |
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Предметный указатель |
-meson 23 see "Yukawa
-meson, gauge theory 24
-meson, quark bound state 79
Aether 120
Aharonov — Bohm effect 18 55
Ampere's law, non-abelian form 65
Angular momentum operators 27 36
asymptotic freedom 127
Beta decay 74
Bjorken scaling 128
Buridan, J. see "Symmetry breaking"
Canonical momentum 15 39 see
Chambers, R. 21
Charge 35
Charge, Coulomb solution 67
Charge, non-Abelian 64
Charge, true electric charge 109
Charge, two point charges, problem of 68
Charge, weak 75
Charged weak current 104
Charm 115
Charm, "November revolution" 115
Charm, charmonium 127 137
Charm, GIM model 115
Christoffel symbols see "Connection"
Chromodynamics see "Color theory"
Coleman, S. 70 113 119
Color gauge theory 121 see
Color gauge theory, asymptotic freedom 127
Color gauge theory, color charge 122
Color gauge theory, colorless quark bound states 124
Color gauge theory, gluon 124
Color gauge theory, quark confinement 137
Color gauge theory, scaling in QCD 136
Commutator 35
Compact groups 160
Compton wavelength 14 see failure
Connection 6 36
Connection, affine (Christoffel symbols) 11
Connection, curvilinear coordinates 9
Connection, gravitation 6
Connection, isotopic-spin see "Yang — Mills"
Conservation laws 56 61
Conservation of charge 63
Cooper pairs see "Superconductor"
Coulomb gauge 41
Coulomb's law 67 107
Coupling constant 35
Coupling constant, color 130
Coupling constant, Fermi weak G 75 105
Coupling constant, QED 83
Coupling constant, strong 83
Coupling constant, weak g 105 109
Coupling constant, Z boson 109
Covariant derivative 39 see "Minimal "Total
Covering group see "Group theory"
Cross section 84
Current 50 53
Current, current-current interaction 75
Current, total, source and field 63
Dark age of field theory 82
Decay of -meson 77
Deep-inelastic scattering 128
Dirac, electron equation 50 54
Dirac, magnetic monopole 153
Dirac, matrices 54
Dirac, P.A.M. 139
Divergence of field tensor 58
Divergence, non-Abelian 57
Dyson, F. 34 73 85
Ehrenfest's theorem 54
Einstein, gravitational connection 6
Electro-weak unified theory 102 see
Electro-weak unified theory, experimental tests 115
Electrodynamics see "Maxwell's equations"
Electromagnetic field tensor see "Field tensor"
Electromagnetism 21
Elton, L.R.B. 121
Euler angles 161
Euler — Lagrange equation 16
Failure of perturbation theory 82
Faraday's law, non-abelian version 65
Fermi theory 75
Fermi theory, weak coupling G 75 105
Feynman, R. 21
Fibers 31
Field tensor 15 43
Field tensor, explicit form in terms of electric and magnetic fields 15 54
Field tensor, non-Abelian form 46
Flavor see "Quarks"
Flux quantization 139
Flux through closed path 43 58
Fundamental group see "Topology"
Gauge groups, 106
Gauge groups, SU(2) 24 162
Gauge groups, SU(3) 123
Gauge groups, U(1) 29 159
Gauge invariance and canonical momentum 15
Gauge invariance of electromagnetism 14
Gauge invariance, of lagrangian 49
Gauge potential 15 36 see
Gauge potential, spin-1 41
Gauge potential, zero mass 28 52
Gauge transformation 14 40
Gauge transformation, classical electromagnetism 14
Gauge transformation, local, non-Abelian 35
Gauge transformation, quantum mechanics 17
Gauge, choice of 41
Gauss's law 63
Gauss's law, non-abelian form 65
Geometric view of Gauge Theory 29 34
Geometric view of Gauge Theory, fiber bundle space 31
Geometric view of Gauge Theory, SU(2) internal space 29—30
Geometric view of Gauge Theory, U(1) phase space 29—30
Ginzburg — Landau model 97 140
Glashow, GIM model 115
Glashow, S. 106
Global symmetry 7 24 78
Glueball, semiclassical 72
Gluon 124
Gluon, virtual 130
Goldstone's theorem 100
Goldstone's theorem, Bloch waves, magnons 101
Group theory, abelian group 165
Group theory, Casimir invariant 166
Group theory, commutator 36 165
Group theory, compact Lie group 160
Group theory, continuous group 158
Group theory, covering group 26 164
Group theory, generators 27 35 125 164
Group theory, homomorphism of SU(2) and O(3) 162
Group theory, Lie algebra 166
Group theory, non-Abelian group 35 165
Group theory, orthogonal group, O(n) 160
Group theory, special unitary group, SU(n) 161
Group theory, structure constants 35 166 168
Group theory, SU(2) group 161
Group theory, SU(3) group 166
Group theory, U(1) group 159
Hadrons as quark bound states 122
Hadrons as quark bound states, quark-antiquark 126
Hadrons as quark bound states, three-quark 125
Hamilton's principle 16
Hamiltonian 54
Hamiltonian, Dirac theory 54
Hamiltonian, Fermi theory 75
Heisenberg, isospin 24
Heisenberg, isospin, infinities in perturbative expansions 85
Higgs field 96
Higgs field, compositeness 120
| Higgs field, degenerate ground state 97
Higgs field, lagrangian 96 97
Higgs field, self-energy potential 97
Hypercharge, weak 109
Inertial frame and connection 6
Infinitesimal transformation 12 37—38 59
Intermediate vector boson see "W and Z bosons"
Internal variables 35
Internal variables, angle 36
Internal variables, conservation laws 56
Isotopic spin (isospin) 22 see
Isotopic spin (isospin), charge independence of nuclear force 23
Isotopic spin (isospin), lepton doublets and singlets 104
Klein — Gordon equation for potential 52
Lagrangian 16 49
Lagrangian, electromagnetism 15 49
Lagrangian, scalar Higgs 97
Lagrangian, Yang — Mills 51
Lamb shift see "Vacuum polarization"
Lepton 74
Lie, groups 159
Lie, groups, generators 165
Local symmetry 35 see
Local symmetry in general relativity 8
London equation see "Superconductor"
London, F. 93
Loop diagram 85
Lorentz gauge 43
Lorentz group, noncompact 160
Lorentz law force, non-abelian 54
Lorentz transformation 7
Magnetic monopole 153
Magnetic monopole, charge quantization 154
Magnetic monopole, multiply-connected field 155
Magnetic monopole, singularity in field 155
Mass in gauge theory 51
Mass in gauge theory, gauge bosons 110
Mass in gauge theory, Higgs mechanism 99
Mass in gauge theory, violation gauge symmetry 28
Mass in gauge theory, Yukawa coupling for electron 117
Maxwell equations 50 57 see
Maxwell equations, homogeneous equations 61
Maxwell equations, lack of superposition 65
Maxwell, J.C. 57
Meissner effect see "Superconductor"
Minimal coupling 48 50 see
Neutral current 107
Neutrino 74
Neutrino in Weinberg — Salam theory 104
Neutrino, neutrino-neutrino scattering 84 114
Non-covariance of gauge potential 40 49 64
Non-inertial frame and elevator 7
Non-renormalizable infinities 84 113
Occam's razor 51
Parity violation 73 104
Pauli, matrices 104
Pauli, W. 102
Phase of wavefunction 17 36
Potential see "Gauge potential"
Precession of generator 55
Quantum chromodynamics QCD see "Color gauge theory"
Quark 77
Quark, colorless bound states 124
Quark, colors 122
Quark, confinement in QCD 137
Quark, flavors 78
Quark, in beta decay 80
Quark, mixing 81 115
Quark, quark-lepton symmetry 80
Renormalization 82 113
Roehrlich, F. 5
Running coupling constant 130
Sakurai, J.J. 48
Salam, A. 99
Scale invariance 12
Schroedinger equation 17
Spin 55
Spin, extra component from symmetry breaking 111
Spin, Thomas precession 55
Stokes' theorem 43 58 60
Strangeness 77
Strong interaction 77
SU(3), multiples 79
SU(3), symmetry global 78 see
Superconductor 93
Superconductor, BCS theory 93
Superconductor, Cooper pairs 94
Superconductor, flux trapping 142
Superconductor, interpolation of phase 95
Superconductor, London equation 95
Superconductor, Meissner effect 94 96
Superconductor, penetration depth 95
Superconductor, self-coherence 89 141
Superconductor, symmetry breaking 96
Superconductor, vortex 140 144
Superposition, lack of 65
Symmetry breaking 86 see
Symmetry breaking, broken gauge field 92
Symmetry breaking, coherent phase 89
Symmetry breaking, example of superconductor 93
Symmetry breaking, mass generation 99
Symmetry breaking, parable, J. Buridan 86 101
Symmetry breaking, spontaneous 96
t'Hooft, G. 113
Thomas precession of spin 55
Topology in gauge theory 139 141
Topology in gauge theory, continuity of phase 142
Topology in gauge theory, double connected 146
Topology in gauge theory, flux number addition 149
Topology in gauge theory, flux quantization 140
Topology in gauge theory, fundamental group 152
Topology in gauge theory, inequivalent ground states, degeneracy 147
Topology in gauge theory, infinitely connected 146
Topology in gauge theory, magnetic monopole 153
Topology in gauge theory, multiply connected 144
Topology in gauge theory, O(3) group, connectedness 146
Topology in gauge theory, stability of vortex 148
Topology in gauge theory, superconductor 141
Topology in gauge theory, torus 143
Topology in gauge theory, U(1) group, connectedness 146
Topology in gauge theory, vortex 144
Topology in gauge theory, winding number 144
Topology of Aharonov — Bohm effect 143
Total derivative 40 see
Unified theory see "Weinberg and Salam"
Unitarity gauge transformation see "Symmetry breaking"
Unitarity limit 85
V-A theory see "Weak interaction"
VACUUM 99
Vacuum, degenerate Higgs ground state 97
Vacuum, dielectric medium in QCD 131
Vacuum, polarization in QED 129
Vacuum, QCD vacuum energy 132
Vacuum, running coupling constant 130
Vortex see "Superconductor"
W boson 76 80 81
W boson and Fermi coupling 105
W boson, mass 110 112 116
W boson, neutral component 106
W boson, spin from symmetry breaking 111
Weak interaction 73
Weak interaction, V-A theory 74
Weinberg — Salam unified theory 102
Weinberg, Nobel prize 116
Weinberg, S. 1
Weinberg, weak mixing angle 111 116
Weinberg, Weinberg — Salam unified theory 102
Weyl, failure of theory 14
Weyl, gauge theory 5 11
Weyl, H. 158
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