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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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