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2013

Causal Dynamical Triangulations without Preferred Foliation

Jordan, S., Loll, R.

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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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Built on

J. Ambjørn and J. Jurkiewicz: Four-dimensional simplicial quantum gravity
1992
Earlier work this paper cites.
M.E. Agishtein and A.A. Migdal: Critical behavior of dynamically triangulated quantum gravity in four-dimensions
1992
Earlier work this paper cites.
S. Catterall, J.B. Kogut and R. Renken: Phase structure of four-dimensional simplicial quantum gravity
1994
Earlier work this paper cites.
J. Ambjørn, J. Jurkiewicz and R. Loll: Nonperturbative 3-d Lorentzian quantum gravity
2001
Earlier work this paper cites.
J. Ambjørn, J. Jurkiewicz and R. Loll: Emergence of a 4D world from causal quantum gravity
2005
Earlier work this paper cites.

Similar

J. Ambjørn, J. Jurkiewicz and R. Loll: Spectral dimension of the universe
2005
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F. Markopoulou and L. Smolin: Gauge fixing in causal dynamical triangulations
2006
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T. Konopka: Foliations and 2+1 causal dynamical triangulation models
2006
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J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll: Planckian birth of the quantum de Sitter universe
Original
2008
Cited alongside, same era.
S. Jordan and R. Loll, to appear; S. Jordan: Globally and locally causal dynamical triangulations
Cited in the paper.

Then

D. Benedetti and J. Henson: Spectral geometry as a probe of quantum spacetime
Original
2009
Later among the works it cites.
see, for example, Approaches to quantum gravity
2012
Later among the works it cites.
J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll: Nonperturbative quantum gravity
Original
2012
Later among the works it cites.
J. Ambjørn, S. Jordan, J. Jurkiewicz and R. Loll: A second-order phase transition in CDT
Original
2012
Later among the works it cites.

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