Semiclassical universe from first principles. (English) Zbl 1247.83243
Summary: Causal dynamical triangulations in four dimensions provide a background-independent definition of the sum over space-time geometries in non-perturbative quantum gravity. We show that the macroscopic four-dimensional world which emerges in the Euclidean sector of this theory is a bounce which satisfies a semiclassical equation. After integrating out all degrees of freedom except for a global scale factor, we obtain the ground state wave function of the universe as a function of this scale factor.
MSC:
| 83F05 | Relativistic cosmology |
References:
| [1] | Gibbons, G. W.; Hawking, S. W., Euclidean Quantum Gravity (1993), World Scientific: World Scientific Singapore · Zbl 0874.53056 |
| [2] | Hartle, J. B.; Hawking, S. W., Phys. Rev. D, 28, 2960 (1983) · Zbl 1370.83118 |
| [3] | Vilenkin, A., Phys. Rev. D, 30, 509 (1984) |
| [4] | Linde, A. D., Lett. Nuovo Cimento, 39, 401 (1984) |
| [5] | Rubakov, V. A., Phys. Lett. B, 148, 280 (1984) |
| [6] | Halliwell, J. J.; Louko, J., Phys. Rev. D, 39, 2206 (1989) |
| [7] | Halliwell, J. J.; Hartle, J. B., Phys. Rev. D, 41, 1815 (1990) |
| [8] | Vilenkin, A., Quantum cosmology and eternal inflation, (Gibbons, G. W.; Shellard, E. P.S.; Rankin, S. J., The Future of Theoretical Physics and Cosmology (2003), Cambridge Univ. Press: Cambridge Univ. Press Cambridge), 649 · Zbl 1195.83005 |
| [9] | Ambjørn, J.; Loll, R., Nucl. Phys. B, 536, 407 (1998) |
| [10] | Ambjørn, J.; Jurkiewicz, J.; Loll, R., Phys. Rev. D, 64, 044011 (2001) |
| [11] | Ambjørn, J.; Jurkiewicz, J.; Loll, R., Phys. Rev. Lett., 85, 924 (2000) · Zbl 1101.83315 |
| [12] | Ambjørn, J.; Jurkiewicz, J.; Loll, R., Nucl. Phys. B, 610, 347 (2001) · Zbl 0971.83022 |
| [13] | Ambjørn, J.; Jurkiewicz, J.; Loll, R., Phys. Rev. Lett., 93, 131301 (2004) |
| [14] | Teitelboim, C., Phys. Rev. D, 28, 297 (1983) |
| [15] | Vilenkin, A., Phys. Rev. D, 50, 2581 (1994) |
| [16] | Ambjørn, J.; Durhuus, B.; Jonsson, T., Quantum Geometry, Cambridge Monographs on Mathematical Physics (1997), Cambridge Univ. Press: Cambridge Univ. Press Cambridge · Zbl 0993.82500 |
| [17] | Newman, M. E.J.; Barkema, G. T., Monte Carlo Methods in Statistical Physics (1999), Oxford Univ. Press: Oxford Univ. Press Oxford · Zbl 1012.82019 |
| [18] | J. Ambjørn, J. Jurkiewicz, R. Loll, in preparation; J. Ambjørn, J. Jurkiewicz, R. Loll, in preparation |
| [19] | Dasgupta, A.; Loll, R., Nucl. Phys. B, 606, 357 (2001) · Zbl 0971.83020 |
| [20] | Antoniadis, I.; Mazur, P. O.; Mottola, E., Nucl. Phys. B, 388, 627 (1992) |
| [21] | Weinberg, S., Ultraviolet divergences in quantum theories of gravitation, (Hawking, S. W.; Israel, W., General Relativity: Einstein Centenary Survey (1979), Cambridge Univ. Press: Cambridge Univ. Press Cambridge), 790 · Zbl 0424.53001 |
| [22] | Ambjørn, J.; Jurkiewicz, J.; Loll, R., Phys. Lett. B, 581, 255 (2004) · Zbl 1246.83059 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
