Thermodynamics and phase transition in Shapere–Wilczek fgh model: Cosmological time crystal in quadratic gravity

Article Type

Research Article

Publication Title

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Abstract

The Shapere–Wilczek model [1], or so called fgh model, enjoys the remarkable features of a Time Crystal (TC) that has a non-trivial time dependence in its lowest energy state (or the classical ground state). We construct a particular form of fgh model (with specified f,g,h functions) that is derived from a Mini-superspace version of a quadratic f(R,R μν ) gravity theory. Main part of the investigation deals with thermodynamic properties of such systems from classical statistical mechanics perspective. Our analysis reveals the possibility of a phase transition. Because of the higher (time) derivative nature of the model computation of the partial function is non-trivial and requires newly discovered techniques. We speculate about possible connection between our model and the Multiverse scenario.

First Page

66

Last Page

72

DOI

10.1016/j.physletb.2019.02.017

Publication Date

4-10-2019

Comments

Open Access, Gold, Green

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