298
INDEX
q-map 86
^-space singularities 174
quadratically divergent constant 187
quadratic approximation 141, 185
quadratic divergence 60, 260
quantized color 114
quantized flux 43, 70
quantized Hall effect 109
quantum effects 90, 142
quantum electrodynamics 5
quantum field 19, 45
quantum fluctuations 20, 87, 88
quantum gravity 273
quantum mechanics 49, 61, 63, 131
quantum state 42, 199
quantum theory 42, 53, 185
of loops 119
quark 145
confinement 73
quark-anti-quark pair 78
quasimomentum 36, 39, 43
quenching factor 101
radial excitations 131
radiative correction 13
Ramond sector 244, 245-6, 250, 251, 282
random fields 68
random surfaces 151, 169, 265
regularization 71, 154, 185
renormalization 9, 100, 134, 160, 257, 262
equation 258
group 19, 25, 27, 258, 260, 263, 264,
267, 268
renormalized coupling constant 21
reparametrization 152
group volume 153
invariance 157
representation matrix 75
rescaled coupling 145
rescaling 160, 197
resonance 80, 147, 198
reversed spins 274, 278
reversed statistics 231
Riemanian geometry 156
rising propagator 131
rotation 204, 276
rotationally invariant theory 9
running coupling constants 264
SL(2, R) group 184
SL(2, C) transformations 197
S-matrix 254
5-matrix elements 265
SU{N) 41,43, 134
chiral field 138
SU{2) 40, 45, 68, 75, 93, 97
theory 71
saddle point 128
approximation 50, 126, 137, 141, 145
picture corrections 129
scalar field 16, 71
scalar laplacian 234
scalar particle 32, 68
scale invariance 88
scale invariant theory 286
scale transformation invariance 284
scattering amplitude 13, 39, 134, 137,
147, 192, 200, 240, 243, 261
Schwinger-Dyson chain 275
Schwinger-like chain 118,121
screening 30, 47, 76
secondary operator 210, 215
decoupling 213
second quantized Hamiltonian 61, 82
self-duality 89
shear modulus 83
short distance dynamics 128
short distance singularities 261
short-range correlations 176
short-range inter-atomic interaction 82
short string limit 282
Shrodinger equation 44, 142
Shrodinger perturbation theory 36
Shrodinger wave function 20
simplectic group 271
singularity 67, 100, 208, 260
singular lines 58
slow field 255
small coupling 43, 67, 88
small distance behavior 149
small distance cut-off 188
small distance instanton-anti-instanton
interaction extrapolation 91
solid state physics 73
soliton 70, 85, 249
excitations 243
space antiperiodicity 251
space measures 157
INDEX
q-map 86
^-space singularities 174
quadratically divergent constant 187
quadratic approximation 141, 185
quadratic divergence 60, 260
quantized color 114
quantized flux 43, 70
quantized Hall effect 109
quantum effects 90, 142
quantum electrodynamics 5
quantum field 19, 45
quantum fluctuations 20, 87, 88
quantum gravity 273
quantum mechanics 49, 61, 63, 131
quantum state 42, 199
quantum theory 42, 53, 185
of loops 119
quark 145
confinement 73
quark-anti-quark pair 78
quasimomentum 36, 39, 43
quenching factor 101
radial excitations 131
radiative correction 13
Ramond sector 244, 245-6, 250, 251, 282
random fields 68
random surfaces 151, 169, 265
regularization 71, 154, 185
renormalization 9, 100, 134, 160, 257, 262
equation 258
group 19, 25, 27, 258, 260, 263, 264,
267, 268
renormalized coupling constant 21
reparametrization 152
group volume 153
invariance 157
representation matrix 75
rescaled coupling 145
rescaling 160, 197
resonance 80, 147, 198
reversed spins 274, 278
reversed statistics 231
Riemanian geometry 156
rising propagator 131
rotation 204, 276
rotationally invariant theory 9
running coupling constants 264
SL(2, R) group 184
SL(2, C) transformations 197
S-matrix 254
5-matrix elements 265
SU{N) 41,43, 134
chiral field 138
SU{2) 40, 45, 68, 75, 93, 97
theory 71
saddle point 128
approximation 50, 126, 137, 141, 145
picture corrections 129
scalar field 16, 71
scalar laplacian 234
scalar particle 32, 68
scale invariance 88
scale invariant theory 286
scale transformation invariance 284
scattering amplitude 13, 39, 134, 137,
147, 192, 200, 240, 243, 261
Schwinger-Dyson chain 275
Schwinger-like chain 118,121
screening 30, 47, 76
secondary operator 210, 215
decoupling 213
second quantized Hamiltonian 61, 82
self-duality 89
shear modulus 83
short distance dynamics 128
short distance singularities 261
short-range correlations 176
short-range inter-atomic interaction 82
short string limit 282
Shrodinger equation 44, 142
Shrodinger perturbation theory 36
Shrodinger wave function 20
simplectic group 271
singularity 67, 100, 208, 260
singular lines 58
slow field 255
small coupling 43, 67, 88
small distance behavior 149
small distance cut-off 188
small distance instanton-anti-instanton
interaction extrapolation 91
solid state physics 73
soliton 70, 85, 249
excitations 243
space antiperiodicity 251
space measures 157