Aitchison I.J.R. — An Informal Introduction to Gauge Field Theories :: Электронная библиотека попечительского совета мехмата МГУ

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Aitchison I.J.R. — An Informal Introduction to Gauge Field Theories

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Название: An Informal Introduction to Gauge Field Theories

Автор: Aitchison I.J.R.

Аннотация:

Four forces are dominant in physics: gravity, electromagnetism and the weak and strong nuclear forces. Quantum electrodynamics - the highly successful theory of the electromagnetic interaction - is a gauge field theory, and it is now believed that the weak and strong forces also can be described by generalizations of this type of theory. In this short book Dr Aitchison gives an introduction to these theories, a knowledge of which is essential in understanding modern particle physics. With the assumption that the reader is already familiar with the rudiments of quantum field theory and Feynman graphs, his aim has been to provide a coherent, self-contained and yet elementary account of the theoretical principles and physical ideas behind gauge field theories.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1982

Количество страниц: 174

Добавлена в каталог: 09.12.2009

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Предметный указатель

Poisson bracket      11 14
Polarisation states, elimination of unphysical      39 44 46—47 49—52 56 58—59 145 147 154
Polarisation states, longitudinal: absence of, in massless theory      43 62
Polarisation states, longitudinal: and high energy behaviour      61 63—64
Polarisation states, scalar      43
Polarisation states, sum over: massive theory      61
Polarisation states, sum over: massless theory      49 62
Polarisation vectors for massive vector particle      60—61
Polarisation vectors for massless vector particle      42—43 49
Polarisation, vacuum      133—136
Propagator, electron      127—133
Propagator, gauge field quanta      41—42
Propagator, massive vector      59
Propagator, massive vector in hidden gauge symmetry      65 67 99
Propagator, massless vector      41 44—45 48 57 65 133—137
Propagator, renormalisation      127—137
Propagator, scalar field      41
Proper graphs      128
Proper Green functions      160
Proton decay      123
QCD      1 30 36—38 93 114 121
QCD and asymptotic freedom      2 162—163
QCD, infra-red behaviour      148 163
QCD, renormalisability      6
qed      1
QED, divergences in      6
QED, renormalisability      6
QED, renormalisation      126—139
Quantisation in Coulomb gauge      57
Quantisation of massive vector fields      58—70
Quantisation of massless vector fields      39—57
Quantisation of non-Abelian gauge theories      47 53—57
Quantisation, canonical      10—11
Quantisation, path-integral      11 53
Quark-lepton mass ratios      123—124
Quarks      1
Quarks in GSW theory      114—120
Quarks, charges of      124
Quarks, masses of      95 114 123—124
Quarks, weak currents for      115
Quasiparticles (Bogoliubov)      80—82
R-gauge      99
Regularisation      126
Regularisation and gauge invariance      133—134
Regularisation and scale invariance      159
Regularisation and Ward identity      146 148 153—154
Regularisation, cut-off      127 159
Regularisation, dimensional      127 133 159
Regularisation, Pauli — Villars      133 152
Renormalisability      6—7
Renormalisability of massive vector theory      59—64 68 105
Renormalisability of theories with hidden gauge invariance      30 98—99 105—106
Renormalisation      6 125—163
Renormalisation and anomalies      150 154—155
Renormalisation and mass-shift      128 130
Renormalisation and scale invariance      155—163
Renormalisation of charge      136—137 144
Renormalisation of coupling strength and weak angle      122
Renormalisation of non-Abelian gauge theories      147—148
Renormalisation of QED      138—139
Renormalisation, conditions      159—160
Renormalisation, group      161
Renormalisation, multiplicative      146
Renormalisation, point      160—162
Renormalisation, universality of coupling preserved under      144 147
Representation, adjoint      20
Representation, matrix      20—21
Representation, regular      20—21 34 46
Rotational invariance      12—15
Scale dimension      158—162
Scale invariance      7 126 155—163
Scale invariance and deep inelastic lepton scattering      155—156
Scale invariance and massless theories      156—158
Scale invariance and renormalisation      158—163
Scale invariance and Ward identities      159—162
Scale invariance in statistical mechanics      155—156
Scales of symmetry breakdown      123
Scaling behaviour      162
Scaling behaviour, departures from, in asymptotically free theories      162
Schwinger terms      51 146
Seagull terms      51 146
Self-energy of electron      127
Self-energy of photon      133—136
Simple group      121
Slavnov — Taylor identities      147—148 154
Source currents      27 36
Spin waves in ferromagnet      77
Statistical mechanics, correlation length      156
Statistical mechanics, critical point      156 162
Statistical mechanics, scale invariance in      155
Strangeness      115
Strangeness-changing weak neutral currents      115—120
Strong interactions      see "QCD"
Structure constants      20 34
Structure function      155
Stuckelberg formalism      65—68
Subsidiary condition      44 46
Superconductor      83 87 100
Superfluid (Bogoliubov)      79 86—87
Superfluid (Bogoliubov), transition temperature      79
Superheavy mass scale      122—123
Sutherland — Veltmann result ( $\pi^{0}$ decay)      148—149 153
Symmetry and conservation laws      12—14
Symmetry and dynamics      7—9
Symmetry and gauge theories      7
Symmetry, $SU(2)\times U(1)$       5 36 101—106 108 112 114—123 145
Symmetry, $SU(2)_{L}\times SU(2)_{R}$       92 94
Symmetry, $SU(2)_{L}\times SU(2)_{R}$ and fourdimensional rotations      92—93
Symmetry, $SU(3)_{c}$       37 121
Symmetry, $SU(3)_{c}\times SU(2)_{L}\times U(1)$       123
Symmetry, $SU(3)_{f}$       37 145

Symmetry, $SU(3)_{L}\times SU(3)_{R}$       116
Symmetry, Abelian      20
Symmetry, algebra      38
Symmetry, breakdown: radiatively induced      101 see hidden"
Symmetry, chiral      2 71 91—96
Symmetry, gauge, hidden, and photon mass      139
Symmetry, global      8 28
Symmetry, global, Abelian, hidden      83—87
Symmetry, global, chiral, hidden      91—96
Symmetry, global, non-Abelian, hidden      87—91
Symmetry, hidden      15 30 36 58—59 65 68—103
Symmetry, hidden, phase      85 101
Symmetry, local      8 28
Symmetry, local, Abelian, hidden      96—101
Symmetry, local, manifest      28—36
Symmetry, local, non-Abelian, hidden      101—104
Symmetry, manifest      10—23 36
Symmetry, Nambu — Goldstone realisation      see "Symmetry hidden"
Symmetry, non-Abelian      8 20 30—36
Symmetry, not unitarily implementable      see "Symmetry hidden"
Symmetry, partial      105
Symmetry, spontaneously broken      see "Symmetry hidden"
Symmetry, SU(2)      5 20—22 28 30—33
Symmetry, SU(3)      38
Symmetry, SU(5)      121—124
Symmetry, unitarily implementable      see "Symmetry manifest"
Symmetry, Wigner — Weyl realisation      see "Symmetry manifest"
Transformation, Bogoliubov      82
Transformation, BRS: Abelian      54—55
Transformation, BRS: non-Abelian      54—56
Transformation, gauge in QED      26
Transformation, gauge in Stuckelberg formalism      69
Transformation, global      8 23 31
Transformation, local      8 23 28 31
Transformation, scale      156—158
Transformation, symmetry, generators of      14—17 19
U(1), gauge symmetry      8 28 96
U(1), hidden local      96—101
U(1), problem(s)      155
U(1), symmetry group      20 35—36 81 85—86 88—89
U-gauge (unitary gauge)      99 104
Unified theories      7 9 105 120—124
Unitarity and anomalies      154
Unitarity and elimination of unphysical polarisation states      47—53
Unitarity and Slavnov-Taylor identities      147—148
Unitarity and Ward identities      47—51
Unitarity, violation: and negative norm states      39
Unitarity, violation: and renormalisability      59—64
Universal strength and gauge theory      5 35 118 145 147
Universal strength of weak interactions      5 145
Unrenormalised charge      136 144
Unrenormalised field      132
Unrenormalised mass      132
Upsilon T particle      121
V-A theory      4 107
VACUUM      18
Vacuum and Fabri — Picasso theorem      71—72
Vacuum as ground state      75 85
Vacuum in QED      43—44
Vacuum in Stuckelberg model      70
Vacuum, current      100
Vacuum, expectation value, non-vanishing      73
Vacuum, polarisation      133—136
Vacuum, polarisation and charge renormalisation      144
Vacuum, quantum fluctuations in      128—129 131
Vacuum, role in hidden symmetry      75
Vector boson, intermediate (IVB)      109
Vector boson, mass in GSW theory      110
Vector field (gauge), mass of      29 30 36 70
Vector field (gauge), massive and renormalisability      58 60—64
Vector field (gauge), massive and unitarity violation      60—64
Vector field (gauge), massive, propagator for      58
Vector field (gauge), quantisation of: massive      58—70
Vector field (gauge), quantisation of: massless      39—57
Vector potential, electromagnetic      8 25—26 39—40
Vertex, electron-photon      140
Vertex, renormalisation constant      137 140 144
Vertex, renormalised      141
W boson      3 90 103 105—106 110 118
W boson, mass      4 110
W boson, width      110
Ward — Takahashi identities      140—148
Ward — Takahashi identities and BRS transformations in non-Abelian gauge theories      54—56 147—148
Ward — Takahashi identities and BRS transformations in QED      54
Ward — Takahashi identities and current conservation      50 140 142
Ward — Takahashi identities and regularisation procedure      146 148
Ward — Takahashi identities and renormalisability      53 125 147—148 154
Ward — Takahashi identities and scale invariance      159—162
Ward — Takahashi identities and unitarity      47—51 53 126
Ward — Takahashi identities for axial currents      146—148
Ward — Takahashi identities in QED      53—54 133 138 152
Ward — Takahashi identities, $Z_{1}=Z_{2}$       140 142 144 147
Ward — Takahashi identities, anomalous      153
Wave function renormalisation constant      131—132 144
Weak angle      103—104 108 110 112 120
Weak angle in SU(5)      122
Weak angle, higher-order corrections to      110
Weak interaction      105 124
Weak interaction, range      3—4
X boson      123
Yang — Mills theory      8
Yang — Mills theory of strong interactions (QCD)      36
Yang — Mills theory, one coupling constant in      35
Yang — Mills theory, quadrilinear couplings in      33
Yang — Mills theory, trilinear couplings in      33
Yang — Mills theory, universality in      35
Yukawa interaction      3—6
Yukawa interaction and lepton mass      113
Yukawa interaction and quark mass      120
Z° boson      4 63 90 103 105—106 110 117 119
Z° boson, mass      4 110
Z° boson, width      110

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