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

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.

arXiv comment16 pages, 10 figures

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Cited by in corpus (8)

• Hořava Gravity at a Lifshitz Point: A Progress Report
• The unitary conformal field theory behind 2D Asymptotic Safety
• Scalar fields in Causal Dynamical Triangulations
• Quantization of 2D Hořava gravity: non-projectable case
• The cylinder amplitude in the Hard Dimer model on 2D Causal Dynamical Triangulations
• Towards elucidation of zero-temperature criticality of Ising model on 2d DT
• Universal horizons and Hawking radiation in nonprojectable 2d Hořava gravity coupled with a non-relativistic scalar field
• A Renormalization Group Analysis of the Ising Model Coupled to Causal Dynamical Triangulations