Glaser, Lisa and O'Connor, Denjoe and Surya, Sumati
(2017)
*Finite Size Scaling in 2D Causal Set Quantum Gravity.*
(Preprint)

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## Abstract

We study the N -dependent behaviour of 2d causal set quantum gravity. This theory is known to exhibit a phase transition as the analytic continuation parameter β, akin to an inverse temperature, is varied. Using a scaling analysis we find that the asymptotic regime is reached at relatively small values of N . Focussing on the 2d causal set action S, we find that β{S} scales like N^ν where the scaling exponent ν takes different values on either side of the phase transition. For β > β_c we find that ν = 2 which is consistent with our analytic predictions for a non-continuum phase in the large β regime. For β < β_c we find that ν = 0, consistent with a continuum phase of constant negative curvature thus suggesting a dynamically generated cosmological constant. Moreover, we find strong evidence that the phase transition is first order. Our results strongly suggest that the asymptotic regime is reached in 2d causal set quantum gravity for N >= 65.

Item Type: | Article |
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Divisions: | School of Theoretical Physics > Preprints |

Date Deposited: | 19 Jun 2018 13:49 |

Last Modified: | 12 Jul 2018 10:23 |

URI: | http://dair.dias.ie/id/eprint/550 |

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