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arXiv · 1412.3873

A c=1 phase transition in two-dimensional CDT/Horava-Lifshitz gravity?

Jan Ambjørn·Andrzej Görlich·Jerzy Jurkiewicz·Hongguang Zhang
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Abstract

We study matter with central charge $c >1$ coupled to two-dimensional (2d) quantum gravity, here represented as causal dynamical triangulations (CDT). 2d CDT is known to provide a regularization of (Euclidean) 2d Hořava-Lifshitz quantum gravity. The matter fields are massive Gaussian fields, where the mass is used to monitor the central charge $c$. Decreasing the mass we observe a higher order phase transition between an effective $c=0$ theory and a theory where $c>1$. In this sense the situation is somewhat similar to that observed for "standard" dynamical triangulations (DT) which provide a regularization of 2d quantum Liouville gravity. However, the geometric phase observed for $c >1$ in CDT is very different from the corresponding phase observed for DT.

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Jan Ambjørn, Andrzej Görlich, Jerzy Jurkiewicz, Hongguang Zhang. 2014-12-12. A c=1 phase transition in two-dimensional CDT/Horava-Lifshitz gravity?. https://doi.org/10.1016/j.physletb.2015.03.008

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