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Moriyasu K. — An Elementary Primer for Gauge Theory
Moriyasu K. — An Elementary Primer for Gauge Theory

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Название: An Elementary Primer for Gauge Theory

Автор: Moriyasu K.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1983

Количество страниц: 177

Добавлена в каталог: 17.01.2007

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\pi$-meson      23 see "Yukawa
$\pi$-meson, gauge theory      24
$\pi$-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 $\pi$-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, $SU(2) \times U(1)$      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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