Feynman Path Integral Formulation

Index 337
effective action, 152, 221, 306
effective charge, 98
effective cosmological constant, 189, 260, 302
effective density, 320
effective field equations for gravity, 302, 305,
314
effective gravitational action, 320
effective pressure, 320
eigenfunctions, 126, 133
einbein, 195
Einstein tensor, 6
Einstein-Cartan theory, 217
Einstein-Hilbert action, 6, 11, 84, 108, 179,
217
electric field, 133, 152
electromagnetic interaction, 1
electrons, 154
elementary parallel transport loop, 173
energy momentum tensor, 1, 10, 112, 308
energy of the vacuum, 142
entropy, 267
entropy of a black hole, 158
Euclidean action, 56, 58, 179
Euclidean De Sitter space, 260
Euclidean Feynman path integral, 58, 63, 190,
274
Euclidean metric, 13
Euclidean rotation, 58
Euclidean Schwarzschild metric, 163
Euclidicity postulate, 58
Euler characteristic, 24, 47, 181, 198
exact lattice identities, 277
excluded volume effects, 267
expansion for critical exponents, 77
exponent ν, 269, 274, 284, 290, 294
external electric field, 152
extrinsic curvature, 111
extrinsic geometry of surfaces, 47
Faddeev-Popov determinant, 145
Faddeev-Popov ghosts, 11, 86
failure of perturbation theory, 20, 67
Fermi distribution, 162
Fermi fields, 83, 106, 175, 211
ferromagnet, 70
Feynman iε prescription, 13, 58, 152, 157, 165
Feynman path integral, 55, 63, 84, 117, 143,
164, 190, 274
Feynman path integral for a non-relativistic
particle, 56, 142
Feynman propagator, 12, 143, 225
Feynman rules for gravity, 11, 13
field equations, 2, 10, 103, 183
finite differences, 70
finite size scaling, 291
finite termperature field theory, 164
finite theories, 33, 37
first order formulation, 104, 108, 250
flat background, 86
flat Euclidean space, 59
flat hypercubic lattice, 216
foliation, 111
fractal dimension, 58, 167, 268
fractal horizon, 167
frame dragging, 321
free field behavior, 76
Friedman equations, 119, 320
Friedman-Robertson-Walker metric, 314
functional determinant, 59, 148
functional integral, 55, 180, 191, 209
functional measure, 47, 55, 59, 79, 150, 164,
191, 196, 207, 223, 242, 249, 277
functional supermetric, 59
gauge condition, 2, 127, 145, 147
gauge dependence, 85
gauge fields, 213
gauge fixing term, 11, 86
gauge group volume, 220
gauge invariance, 2, 8
gauge symmetry, 98
gauge theories, 98, 220, 248, 269
Gauss’s law, 109, 131
Gauss-Bonnet identity, 13, 24, 46, 181
Gaussian fixed point in gravity, 98
Gaussian integral, 18, 144
general coordinate invariance, 8
general coordinate transformation, 8, 174, 196,
209
generators of the Lorentz group, 33, 106, 175
genus of a surface, 47
geodesic distance, 207, 258, 278
ghost field, 12, 15, 28, 44, 49, 225
ghost loop, 87
ghost-graviton vertex, 14
global O(2) model, 71, 78
global O(N) model, 68, 79
global U(N) model, 83
glueballs, 100, 134
gluons, 134
gravitational action, 1, 6, 24, 37
gravitational anti-screening, 89, 285, 299, 305,
314
gravitational Compton scattering, 6
gravitational condensate, 300, 302, 315
gravitational correlation, 276, 295
gravitational correlation length, 321