Author:
Ambjørn J.,Gizbert-Studnicki J.,Görlich A.,Jurkiewicz J.,Németh D.
Abstract
Abstract
CDT is an attempt to formulate a non-perturbative lattice theory of quantum gravity. We describe the phase diagram and analyse the phase transition between phase B and phase C (which is the analogue of the de Sitter phase observed for the spherical spatial topology). This transition is accessible to ordinary Monte Carlo simulations when the topology of space is toroidal. We find that the transition is most likely first order, but with unusual properties. The end points of the transition line are candidates for second order phase transition points where an UV continuum limit might exist.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference58 articles.
1. S. Weinberg, Ultraviolet divergences in quantum theories of gravitation, in General relativity: Einstein centenary survey, S.W. Hawking and W. Israel eds., Cambridge University Press, Cambridge, U.K. (1979), pg. 790 [INSPIRE].
2. M. Reuter, Nonperturbative evolution equation for quantum gravity, Phys. Rev.D 57 (1998) 971 [hep-th/9605030] [INSPIRE].
3. A. Codello, R. Percacci and C. Rahmede, Investigating the ultraviolet properties of gravit with a Wilsonian renormalization group equation, Annals Phys.324 (2009) 414 [arXiv:0805.2909] [INSPIRE].
4. M. Reuter and F. Saueressig, Functional renormalization group equations, asymptotic safety and quantum Einstein gravity, in Geometric and topological methods for quantum field theory, Cambridge University Press, Cambridge, U.K. (2010), pg. 288 [arXiv:0708.1317] [INSPIRE].
5. M. Niedermaier and M. Reuter, The asymptotic safety scenario in quantum gravity, Living Rev. Rel.9 (2006) 5 [INSPIRE].
Cited by
15 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献