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arXiv · 1110.6244

Evidence for a Phase Transition in 2D Causal Set Quantum Gravity

Sumati Surya
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Abstract

We present evidence for a phase transition in a theory of 2D causal set quantum gravity which contains a dimensionless non-locality parameter $ε\in (0,1]$. The transition is between a continuum phase and a crystalline phase, characterised by a set of covariant observables. For a fixed size of the causal set the transition temperature $β_c^{-1}$ decreases monotonotically with $ε$. The line of phase transitions in the $β_c^2$ v/s $ε$ plane asymptotes to the infinite temperature axis, suggesting that the continuum phase survives the analytic continuation.

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Sumati Surya. 2011-10-28. Evidence for a Phase Transition in 2D Causal Set Quantum Gravity. https://doi.org/10.1088/0264-9381%2F29%2F13%2F132001

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