300
INDEX
surface tension 283, 286
symmetric structure constants 259
symmetric tops 40
symmetric traceless field 83
symmetry 49-50, 60, 75, 108, 222
breaking 7, 13, 16, 107
group 40, 268-9
(T-independent component 244
(T-model 125, 254-5, 267, 285
tachyon 200, 221, 241, 266
eliminating projection 250
fusion 242
tail independence 277
Taylor expansion in loop space 122
tensor 70, 140, 199
thermodynamic limit 109
three-point functions 259
time 69
anisotropy 38, 41
antiperiodicity 251
propagation 42
topological charge 79, 86-7, 99, 103, 139,
140, 142
topological properties 85
topology 276
torus 182, 271
total angular momentum 39, 281
total divergence 107, 284
transformation invariance 197
transformation law 75, 77, 112, 119, 229,
233, 236
transition amplitude 78, 108, 114
translational invariance 88
translations 204
transverse rigidities 84
tree amplitude corrections 240
tree level 267, 271
tunnelling 50, 53, 103
two-dimensional crystals 61
two-dimensional field theory 203
two-dimensional rectangular lattice 275
two-dimensional surfaces 176
two-dimensional theory 203
two-point function 168, 207
two point fusion 209
0-dependence 109
0-functions 61
0-term 108, 286
w-field 235
ultraviolet divergence 126, 161
ultraviolet region 100
uncertainty principle 131
unconstrained system 68
unified theories 253
unit lattice vectors 275
universal correlation length 23
universality class 12, 287
universality properties 7
unrenormalized regularized theory 121
unstable kink solution 61
u-operators 260, 261
w-space 235
vacuum energy 142
vacuum expectation value 129, 266
vacuum sector 45
vacuum-vacuum amplitude 104
vector field 32, 233, 268, 270
vector mesons 269
vector potential 14, 41, 55, 62
vector vertex 213, 270
vertex 145, 241
operator 197, 225, 240, 241-2, 250,
259, 261, 268
operator averaging 254
operator transformation 215
r-field propagator 136
vibrational excitations 202
vibrational modes 147
Virasoro algebra 208, 210, 238
volume element 157,172
vortex confinement 58
vortex core 58
vortices 16, 56, 61, 62
Ward identity 12, 205, 209, 213, 271, 272
wave equation 180
wave function 35, 46, 277, 281
weak coupling 54, 68, 72
weak gravitational field 185, 190, 264
INDEX
surface tension 283, 286
symmetric structure constants 259
symmetric tops 40
symmetric traceless field 83
symmetry 49-50, 60, 75, 108, 222
breaking 7, 13, 16, 107
group 40, 268-9
(T-independent component 244
(T-model 125, 254-5, 267, 285
tachyon 200, 221, 241, 266
eliminating projection 250
fusion 242
tail independence 277
Taylor expansion in loop space 122
tensor 70, 140, 199
thermodynamic limit 109
three-point functions 259
time 69
anisotropy 38, 41
antiperiodicity 251
propagation 42
topological charge 79, 86-7, 99, 103, 139,
140, 142
topological properties 85
topology 276
torus 182, 271
total angular momentum 39, 281
total divergence 107, 284
transformation invariance 197
transformation law 75, 77, 112, 119, 229,
233, 236
transition amplitude 78, 108, 114
translational invariance 88
translations 204
transverse rigidities 84
tree amplitude corrections 240
tree level 267, 271
tunnelling 50, 53, 103
two-dimensional crystals 61
two-dimensional field theory 203
two-dimensional rectangular lattice 275
two-dimensional surfaces 176
two-dimensional theory 203
two-point function 168, 207
two point fusion 209
0-dependence 109
0-functions 61
0-term 108, 286
w-field 235
ultraviolet divergence 126, 161
ultraviolet region 100
uncertainty principle 131
unconstrained system 68
unified theories 253
unit lattice vectors 275
universal correlation length 23
universality class 12, 287
universality properties 7
unrenormalized regularized theory 121
unstable kink solution 61
u-operators 260, 261
w-space 235
vacuum energy 142
vacuum expectation value 129, 266
vacuum sector 45
vacuum-vacuum amplitude 104
vector field 32, 233, 268, 270
vector mesons 269
vector potential 14, 41, 55, 62
vector vertex 213, 270
vertex 145, 241
operator 197, 225, 240, 241-2, 250,
259, 261, 268
operator averaging 254
operator transformation 215
r-field propagator 136
vibrational excitations 202
vibrational modes 147
Virasoro algebra 208, 210, 238
volume element 157,172
vortex confinement 58
vortex core 58
vortices 16, 56, 61, 62
Ward identity 12, 205, 209, 213, 271, 272
wave equation 180
wave function 35, 46, 277, 281
weak coupling 54, 68, 72
weak gravitational field 185, 190, 264