English

Phases of Euclidean wormholes in JT gravity

High Energy Physics - Theory 2023-08-11 v2 General Relativity and Quantum Cosmology

Abstract

We present a JT gravity set up that reveals the evidence of (Euclidean) wormhole to black hole phase transition at finite charge density and/or chemical potential. We identify the low temperature phase of the system as the charged wormhole solution. As the temperature of the system is increased, it undergoes a first order phase transition to a two black hole system at finite charge density. At the critical point (T=T0T = T_0) of the phase transition, both the Free energy (density) and the charge undergoes a discontinuous change. Finally, we conjectured that the field theory dual to this gravitational set up is a two-site (uncoupled) complex SYK model at a finite chemical potential.

Keywords

Cite

@article{arxiv.2111.11279,
  title  = {Phases of Euclidean wormholes in JT gravity},
  author = {Hemant Rathi and Dibakar Roychowdhury},
  journal= {arXiv preprint arXiv:2111.11279},
  year   = {2023}
}

Comments

v2:Title changed, Substantially revised version, Results and conclusion unchanged, Accepted for publication in Nuclear Physics B