Thermodynamics of general flat space and boson star quasi-local systems

TL;DR

This paper investigates the thermodynamics of flat space and boson star systems within a scalar reflecting box, revealing similarities to holographic transitions and suggesting possible holographic dualities in quasi-local systems.

Contribution

It introduces a study of quasi-local thermodynamics in flat space and boson star systems with a scalar box, highlighting parallels with holographic phase transitions.

Findings

Model parameters influence transition behaviors similarly to holographic systems.

Derived a relation between thermodynamic quantities, $ar{
} hickapprox 2 ilde{
}$, consistent with holographic theories.

Identified second order characteristic exponents matching those in holographic superconductor models.

Abstract

We study thermodynamics of flat space/boson star systems enclosed in a scalar reflecting box with St$\ddot{u}$ckelberg mechanism. We also disclose effects of model parameters on transitions and the properties appear to be qualitatively the same as those in holographic St$\ddot{u}$ckelberg transitions. Moreover, we obtain a relation $\bar{\zeta}\thickapprox 2 \tilde{\zeta}$ and the second order characteristic exponent, which also hold in holographic superconductor theories. The similarity between quasi-local thermodynamic transitions and holographic transitions provides additional evidences that holographic theories may also exist in the quasi-local space.