294
INDEX
infinite dimensional conformal group 204
infinite dimensional measures 161
infinitely heavy charges 45
infinitely short strings 151
infinite path 280
infinitesimal field response 84
infinitesimal transformation 184, 205
infinite volume 129
infrared divergence 98, 126, 143
infrared limit 61, 65, 69, 71
infrared region 32, 107, 284, 285
infrared singular terms 90
infrared-strong interaction 13
inhomogeneous transformation 210
injection points 249
inner space supersymmetry 226
instanton 9, 16, 17, 49, 53, 54, 58, 64, 65,
69, 70, 78, 79, 80, 87, 88, 90, 99, 109,
111, 118, 139, 143, 144
instanton-anti-instanton
configuration 91, 107
integer mode shift 249
integrability condition 285
integrability constraint 285
integration 184, 271
interacting massless modes 265
interaction energy 70
internal degrees of freedom 281
internal index 281
intrinsic curvature 284
invariance 59, 146, 186, 270
property 16-7
invariant measure 157, 171
inverse correlation length 26, 127, 286
inverse cut-off 176
inverse Laplacian 56, 58, 81
inverse temperature 275
Ising chain 6
Ising mode 34
Ising model 5, 15, 34, 49, 245, 253, 273-5,
278, 279, 282, 286
Ising spins 251
isometry 166
isospinor Dirac field 99
isotopic factor 31
isotopic rotations 97
isotopic spin 39, 45
isotopic structure 136
isotopic vector fields 71
Jordan-Wigner transformation 246
Kac formula 212, 218
Kahler structure 268
Kaluza-Klein approach 268, 269
kernel 190
k-ground state particles 198
Killing deformations 268
kinematical power counting 146
Koba-Nielsen amplitude 213, 221
Koba-Nielsen integrals 261
Kramers-Wannier duality 15, 251, 280
k-space singularities 186
Lagrange multiplier 125, 134, 153, 164,
225, 254, 285, 286
fluctuations 131
freezing 173
representation 172
Lagrangian 19, 38, 39, 45, 59, 63,102, 109,
131, 139-40
Lamé constants 61
Landau diamagnetism 30
Laplace operator 170, 194
large fluctuation quenching 107
large N expansion 125, 131, 139
large N limit 121, 123, 129, 134, 137, 138,
140, 142, 148
lattice 34, 64, 69, 112, 272, 276, 281
closed loop 42
cut-off 225
derivatives 68
divergence 55
equations 117
field theory 80, 125
graph 37
Laplace equation 55
Laplace operator 64
models 62
spacing 10, 22, 161
vector 61
left rotations 40
left-supersymmetric field theory 270
Lie algebra 21, 63, 76, 112, 114, 207
generators 120
light-cone gauge 250
light isoscalar boson 109
INDEX
infinite dimensional conformal group 204
infinite dimensional measures 161
infinitely heavy charges 45
infinitely short strings 151
infinite path 280
infinitesimal field response 84
infinitesimal transformation 184, 205
infinite volume 129
infrared divergence 98, 126, 143
infrared limit 61, 65, 69, 71
infrared region 32, 107, 284, 285
infrared singular terms 90
infrared-strong interaction 13
inhomogeneous transformation 210
injection points 249
inner space supersymmetry 226
instanton 9, 16, 17, 49, 53, 54, 58, 64, 65,
69, 70, 78, 79, 80, 87, 88, 90, 99, 109,
111, 118, 139, 143, 144
instanton-anti-instanton
configuration 91, 107
integer mode shift 249
integrability condition 285
integrability constraint 285
integration 184, 271
interacting massless modes 265
interaction energy 70
internal degrees of freedom 281
internal index 281
intrinsic curvature 284
invariance 59, 146, 186, 270
property 16-7
invariant measure 157, 171
inverse correlation length 26, 127, 286
inverse cut-off 176
inverse Laplacian 56, 58, 81
inverse temperature 275
Ising chain 6
Ising mode 34
Ising model 5, 15, 34, 49, 245, 253, 273-5,
278, 279, 282, 286
Ising spins 251
isometry 166
isospinor Dirac field 99
isotopic factor 31
isotopic rotations 97
isotopic spin 39, 45
isotopic structure 136
isotopic vector fields 71
Jordan-Wigner transformation 246
Kac formula 212, 218
Kahler structure 268
Kaluza-Klein approach 268, 269
kernel 190
k-ground state particles 198
Killing deformations 268
kinematical power counting 146
Koba-Nielsen amplitude 213, 221
Koba-Nielsen integrals 261
Kramers-Wannier duality 15, 251, 280
k-space singularities 186
Lagrange multiplier 125, 134, 153, 164,
225, 254, 285, 286
fluctuations 131
freezing 173
representation 172
Lagrangian 19, 38, 39, 45, 59, 63,102, 109,
131, 139-40
Lamé constants 61
Landau diamagnetism 30
Laplace operator 170, 194
large fluctuation quenching 107
large N expansion 125, 131, 139
large N limit 121, 123, 129, 134, 137, 138,
140, 142, 148
lattice 34, 64, 69, 112, 272, 276, 281
closed loop 42
cut-off 225
derivatives 68
divergence 55
equations 117
field theory 80, 125
graph 37
Laplace equation 55
Laplace operator 64
models 62
spacing 10, 22, 161
vector 61
left rotations 40
left-supersymmetric field theory 270
Lie algebra 21, 63, 76, 112, 114, 207
generators 120
light-cone gauge 250
light isoscalar boson 109