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arxiv: 1305.4582 · v1 · pith:KYCMJ3HNnew · submitted 2013-05-20 · ✦ hep-th · gr-qc· hep-lat

Causal Dynamical Triangulations without Preferred Foliation

classification ✦ hep-th gr-qchep-lat
keywords causalfoliationpreferreddynamicalgravityintegralpathquantum
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We introduce a generalized version of the Causal Dynamical Triangulations (CDT) formulation of quantum gravity, in which the regularized, triangulated path integral histories retain their causal properties, but do not have a preferred proper-time foliation. An extensive numerical study of the associated nonperturbative path integral in 2+1 dimensions shows that it can nevertheless reproduce the emergence of an extended de Sitter universe on large scales, a key feature of CDT quantum gravity. This suggests that the preferred foliation normally used in CDT is not a crucial (albeit convenient) part of its background structure.

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