Non-perturbative 3d Lorentzian Quantum Gravity

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dc.creatorAmbjorn, J.
dc.creatorJurkiewicz, J.
dc.creatorLoll, R.
dc.date2000-11-29
dc.date2001-05-27
dc.date.accessioned2026-07-07T10:53:28Z
dc.date.available2026-07-07T10:53:28Z
dc.descriptionWe have recently introduced a discrete model of Lorentzian quantum gravity, given as a regularized non-perturbative state sum over simplicial Lorentzian space-times, each possessing a unique Wick rotation to Euclidean signature. We investigate here the phase structure of the Wick-rotated path integral in three dimensions with the aid of computer simulations. After fine-tuning the cosmological constant to its critical value, we find a whole range of the gravitational coupling constant $k_0$ for which the functional integral is dominated by non-degenerate three-dimensional space-times. We therefore have a situation in which a well-defined ground state of extended geometry is generated dynamically from a non-perturbative state sum of fluctuating geometries. Remarkably, its macroscopic scaling properties resemble those of a semi-classical spherical universe. Measurements so far indicate that $k_0$ defines an overall scale in this extended phase, without affecting the physics of the continuum limit. These findings provide further evidence that discrete {\it Lorentzian} gravity is a promising candidate for a non-trivial theory of quantum gravity.
dc.description35 pages, 17 figures, final version, to appear in Phys. Rev. D (some clarifying comments and some references added)
dc.identifierhttps://arxiv.org/abs/hep-th/0011276
dc.identifierhttp://arxiv.org/abs/hep-th/0011276
dc.identifierPhys.Rev.D64:044011,2001
dc.identifierdoi:10.1103/PhysRevD.64.044011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185497
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.titleNon-perturbative 3d Lorentzian Quantum Gravity
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