Feynman Path Integral Formulation

336 Index
Cauchy problem, 103, 107
central charge, 40
change of basis in Fock space, 159
choice of coordinates, 172
choice of time coordinate, 107, 120
chromo-electric field, 128
classical field equations, 2, 10, 183, 301
classical gravity on a lattice, 183
closed Friedman universe, 119
closed strings, 50
closed surface, 247
collapsed lattice, 288
color singlets, 134
compact Euclidean four-geometries, 143
compact Euclidean metrics, 118
compact groups, 220
compact variables, 133
compactification assumption, 51
complex periodic time, 165
complex time, 58, 118, 163
conformal anomaly, 24
conformal gauge, 24
conformal instability, 64, 227, 264, 273
conformal invariance, 48
conformal mode, 64, 91
connected correlation function, 278
conserved energy momentum tensor, 1
constant curvature metric, 119, 235, 238, 260
constraint equations, 103, 107
constraints on metric fluctuation, 55, 86, 191
continuum limit, 134, 295
conventions, xii
coordinate conditions, 103, 110
coordinate independence, 306
corrections to purely thermal emission, 162
correlation between Wilson lines, 281
correlation function, 74, 100, 278
correlation length, 74, 134, 280, 295
correlation length exponent ν, 76, 81, 91, 94,
95, 97, 269, 274, 290
correlations between curvatures, 245, 248,
258, 274, 278, 285
cosmological constant, 9, 10, 29, 63, 84, 106,
138, 180, 218, 249, 260, 262, 300, 302,
315, 321
cosmological constraints, 300
cosmological solutions, 314
cosmological wavefunction, 141
counting of microstates, 158
coupling renormalization, 87
covariant derivative, 106, 211, 215
critical coupling, 80, 82, 83, 90, 94, 264, 267,
284, 290, 294
critical dimension, 24
critical dimension of strings, 47, 50
critical exponent ν, 76
critical exponents, 77, 78
critical point, 92, 264, 267, 284, 294, 295
cross polytope, 263
curvature, 173, 260
curvature correlation, 245, 248, 258, 274, 276,
278, 285
curvature fluctuation, 267, 276
curvature scales, 300, 302
curvature squared terms, 24, 198, 218, 234,
275, 320
cutoff, 16, 31, 48, 52, 56, 61–63, 68, 70, 71,
74, 139, 192, 195, 220, 242, 264, 267,
274, 278, 281, 287, 295, 296, 306
cutoff function, 97
d’Alambertian operator, 317
De Sitter space, 260
decoupling, 220
DeDonder gauge, 12, 225
deficit angle, 171, 262
degenerate configurations, 288
delta function, 18, 62, 69
density of states, 66
derivative expansion, 98
derivatives of the free energy, 276
determinant of the supermetric, 192
DeWitt measure, 59, 192, 196, 242, 249
DeWitt supermetric, 59, 114, 135, 192
diagrammtic expansion, 11
diffeomorphism constraint, 112, 118, 120
diffeomorphism invariance, 8, 184, 196, 209,
220, 234
dihedral angle, 171, 262
dihedral volume, 199
dilaton gravity, 48, 51
dimensional expansion, 67, 84
dimensional regularization, 11, 18
dimensional transmutation, 71, 300
dimensional transmutation in gauge theories,
98
dimensionful coupling constant, 16
Dirac γ-matrices, 34, 37, 176, 211, 214, 217
Dirac operator, 30, 153, 211
Dirac spin matrices, 34, 37, 215, 217
Dirichlet boundary conditions, 148
distance in function space, 114
dual lattice, 176, 178
dual of a simplex, 173, 176
dual subdivision, 199
dust, 123
dynamical triangulations, 219