Approaches to Quantum Gravity

Index 581
cosmology, 26, 155, 184, 190, 195–199, 206,
223–226, 274, 386, 389, 390, 406, 408, 462,
555, 556, 565–567
quantum, 70, 225, 249, 253, 310, 354, 357, 368,
369
dark energy, 3, 565, 567
dark matter, 3, 205, 565
decoherence, 14, 71, 91–93, 97, 146, 155, 388, 435,
439, 542, 560
functional, 71, 74, 91–93, 155
deformed (doubly) special relativity, 153, 154, 158,
307, 403, 408, 428, 440–443, 445, 493–498,
500, 504–507, 510, 511, 517, 519–521, 523,
525, 529, 542, 549, 560, 561, 566, 567,
574–576
deterministic quantum mechanics, 18–20, 24, 28
dispersion relations, 26, 38, 153, 154, 402, 429–431,
440–446, 472, 502, 504, 517, 519, 521,
528–530, 532, 536, 538, 575, 576
divergences, 9, 28, 34, 41, 113, 121, 123, 187, 213,
220, 231, 277, 287, 288, 293, 317, 355, 451,
455, 461, 531, 532, 535
dynamical triangulations, 8, 10, 65, 70, 124, 125, 129,
137, 139–142, 147, 148, 318, 321, 325, 328,
342, 346, 348, 356, 357, 362, 372–374, 403,
414–420, 550, 559
early universe, 91, 199, 567
effective action, 112–115, 117, 119, 121, 124, 125,
458
effective field theory, 10, 111–114, 116, 142, 145,
147, 148, 153, 157, 162, 164, 170, 179, 187,
189, 203, 231, 236, 298, 304, 306, 307,
333–335, 337, 354, 356, 453–460, 462, 463,
467, 490, 509, 518, 521, 525, 531, 533–536,
539, 542, 543, 559, 571, 572, 574, 576
emergent
geometry, 129, 143
gravity, 157, 178
entropy bound, 191, 196, 197, 199, 206
equivalence principle, 51, 108, 110, 161, 435–437,
439, 471, 548, 549, 578
fuzzy geometry, 29, 154, 193, 200, 205, 207, 236,
263, 264, 434
gauge theory, 13, 14, 48, 169–184, 187, 229, 230,
244, 254, 335, 373, 378, 466, 469, 549
lattice, 244, 246, 294, 343, 378, 414, 415
general covariance, 57, 68, 80, 82, 125, 157, 179, 190,
191, 236, 272, 404, 405, 458
geometrogenesis, 143, 145, 147
graviton, 15, 102, 109, 116, 118, 119, 125, 157, 169,
182, 210–213, 236, 285, 328, 334, 366, 373,
460, 461, 463, 559, 579
group
conformal, 158, 203
diffeomorphism, 69, 75–81, 141, 246, 371, 421,
511, 552
history, 72, 73, 80
isometry, 45, 62–64
Lorentz, 27, 32, 62, 90, 96, 161, 203, 253–255, 260,
262, 265, 270, 290, 294, 311, 321, 326, 335,
402, 410, 476, 479, 501, 503, 541, 577, 578
Poincaré, 158, 163, 484, 489, 494, 559, 578
quantum, 154, 298, 320, 324, 364, 466–477,
482–484, 486, 491, 502, 510, 524, 550, 559,
573
renormalization, 111–114, 117–119, 121–123, 141,
159–161, 169, 179, 180, 183, 189, 321, 327,
329, 357, 370, 372, 489
group field theory, 86, 150, 151, 153, 157, 287, 310,
311, 313, 317–330, 336, 337, 417–419
Hawking temperature, 126, 175
hierarchy problem, 126
histories
continuous time, 72
sum over, 71, 137
holography, 17, 18, 20, 137, 169, 170, 172, 182, 184,
191–196, 198, 199, 205–207, 231
inflation, 198, 226, 357, 462, 565, 566
information
loss, 20, 21, 24, 28, 151, 177, 183, 435
quantum, 99, 100, 106, 130, 142, 145, 147, 513,
515, 559
invariance
conformal, 171, 172, 176, 178–180, 188
coordinate, 13, 178, 179
diffeomorphism, 13, 15, 24, 45, 47, 55, 57, 62, 63,
134, 136, 155, 190, 247, 248, 253, 260, 270,
272, 334, 343, 345, 348, 356, 357, 361, 362,
365, 374, 378, 414, 417, 469, 551–555
gauge, 47–49, 54, 112, 173, 178, 190, 215, 239,
241, 242, 254, 262, 263, 275, 389
Lorentz, 26, 27, 31, 32, 38–40, 152–154, 161, 164,
259, 400–404, 408–410, 455, 517, 528,
530–532, 534, 537–542, 561
local, 253, 254, 262, 265, 270
Poincaré, 4, 9, 45, 62, 163, 467, 560, 561, 573
scaling, 115, 117, 171
Super-Poincaré, 193, 205, 207
translation, 152
lattice, 287, 288, 292, 293, 295, 297, 310–313, 325,
326, 329, 341, 343, 344, 346, 348, 351, 356,
360, 363, 364, 370, 378, 400–402, 421, 540,
542
local finiteness, 131, 396
locality, 13, 17, 27, 28, 153, 164, 169, 170, 190, 393,
407, 409, 410, 434, 549, 563–567
non-, 20, 27, 28, 33, 35–38, 40–42, 152–155, 160,
410, 434, 564
logic
temporal, 71–74
loop quantum gravity, 6, 8–10, 14, 15, 22, 26, 46,
48–50, 52, 54, 56, 70, 80–82, 99, 124, 129,
137, 139, 140, 150, 151, 225, 235, 236, 248,
249, 253–256, 258, 260, 261, 265–270, 272,
275, 284, 286–288, 290, 311, 318, 319, 325,