INDEX
293
functional integral 62, 125, 205, 227, 231,
234, 243, 245, 250, 251
computation 185
functional space 51, 157, 160, 172
gapless excitations 12, 102
gapless photon 81
gauge anomaly 270, 273
gauge bosons 71
gauge field 70, 73, 99, 107, 111, 118, 139,
145, 158, 229, 253
topology 85
gauge fixing 197, 224
gauge group 5, 14, 112
generator 109
invariance 139
gauge invariance 17, 29, 40, 63, 140, 216,
281
excitation 45
Green functions 32
quantity 15, 66, 119
states (vacuum sector) 75
gauge symmetries 14, 40
gauge system 40, 49, 77, 82
gauge theory 80, 104
cut-off 121
gauge transformation 44, 45, 46, 57, 112,
152, 157, 171, 216
Gaussian integral 66, 88, 135, 154
solution 167
Gell-Mann-Low equation 24, 25, 260
general operator 201, 234
general relativity 5
general supercovariance 230
generators 268
geometrical integrals 169
Georgi-Glashow model 71, 80
ghost fields 231, 250
ghost Lagrangian 236
ghost operators 234
ghosts 259, 265, 270
Ginzburg-Landau equations 70
globally invariant action 223
global 0(2) model 42, 54
global 0(2) symmetry 11
global symmetry 5, 11, 27, 34, 37, 40, 84
gluon 30, 47, 76, 144, 146
Goldstone boson 13, 39, 107
Goldstone field 16
Goldstone particles 109, 129
Goldstone’s theorem 12
grand unification 253
Grassman fields 285
gravitational anomaly 270, 273
gravitational field 5
gravitino 229, 236, 239, 269
field 223, 234, 238, 250
graviton 203, 229, 254, 266, 271
condensation 266
Green function 8, 67, 100, 126, 132, 134,
138, 142, 167, 175, 179, 184, 194, 240,
260, 275, 278, 279
ground state 15, 35, 38, 49, 53, 70, 242
wave function 9
y-function 25
y-matrix 223, 282
H-field 67
Haar measure 14
hadrons 99
half-integer charges 80
half-integer spin 47, 76
Hamiltonian J9, 44, 77
formalism 208, 243
formulation 34
language 41
version 36, 38
harmonic approximation 54
harmonic oscillator 202, 214, 244
heavy fields 71
hermitian conjugation 115
hermitian matrix 135
heterotic fermionic string 269
heterotic Lagrangian 269
heterotic string theories 273
Hilbert space 35
homogeneous space 285
homologically nontrivial path 252
homotopy group 92
Hopfs bundle 140
hypercube 10
hypervolume 170
imaginary time 38, 49
inaccessible conformal gauge 179
independent tops 44
index theorem 179
induced action 173, 174, 185, 188
293
functional integral 62, 125, 205, 227, 231,
234, 243, 245, 250, 251
computation 185
functional space 51, 157, 160, 172
gapless excitations 12, 102
gapless photon 81
gauge anomaly 270, 273
gauge bosons 71
gauge field 70, 73, 99, 107, 111, 118, 139,
145, 158, 229, 253
topology 85
gauge fixing 197, 224
gauge group 5, 14, 112
generator 109
invariance 139
gauge invariance 17, 29, 40, 63, 140, 216,
281
excitation 45
Green functions 32
quantity 15, 66, 119
states (vacuum sector) 75
gauge symmetries 14, 40
gauge system 40, 49, 77, 82
gauge theory 80, 104
cut-off 121
gauge transformation 44, 45, 46, 57, 112,
152, 157, 171, 216
Gaussian integral 66, 88, 135, 154
solution 167
Gell-Mann-Low equation 24, 25, 260
general operator 201, 234
general relativity 5
general supercovariance 230
generators 268
geometrical integrals 169
Georgi-Glashow model 71, 80
ghost fields 231, 250
ghost Lagrangian 236
ghost operators 234
ghosts 259, 265, 270
Ginzburg-Landau equations 70
globally invariant action 223
global 0(2) model 42, 54
global 0(2) symmetry 11
global symmetry 5, 11, 27, 34, 37, 40, 84
gluon 30, 47, 76, 144, 146
Goldstone boson 13, 39, 107
Goldstone field 16
Goldstone particles 109, 129
Goldstone’s theorem 12
grand unification 253
Grassman fields 285
gravitational anomaly 270, 273
gravitational field 5
gravitino 229, 236, 239, 269
field 223, 234, 238, 250
graviton 203, 229, 254, 266, 271
condensation 266
Green function 8, 67, 100, 126, 132, 134,
138, 142, 167, 175, 179, 184, 194, 240,
260, 275, 278, 279
ground state 15, 35, 38, 49, 53, 70, 242
wave function 9
y-function 25
y-matrix 223, 282
H-field 67
Haar measure 14
hadrons 99
half-integer charges 80
half-integer spin 47, 76
Hamiltonian J9, 44, 77
formalism 208, 243
formulation 34
language 41
version 36, 38
harmonic approximation 54
harmonic oscillator 202, 214, 244
heavy fields 71
hermitian conjugation 115
hermitian matrix 135
heterotic fermionic string 269
heterotic Lagrangian 269
heterotic string theories 273
Hilbert space 35
homogeneous space 285
homologically nontrivial path 252
homotopy group 92
Hopfs bundle 140
hypercube 10
hypervolume 170
imaginary time 38, 49
inaccessible conformal gauge 179
independent tops 44
index theorem 179
induced action 173, 174, 185, 188