Spatial confinement-deconfinement transition in accelerated gluodynamics within lattice simulation

TL;DR

This study explores how weak acceleration affects the confinement-deconfinement transition in gluodynamics using lattice simulations in Rindler spacetime, revealing a spatial crossover and phase coexistence.

Contribution

It demonstrates that acceleration transforms the phase transition into a spatial crossover and maps the phase boundary, aligning with the Tolman-Ehrenfest law.

Findings

Transition becomes a spatial crossover in Rindler spacetime.

Phase boundary follows the Tolman-Ehrenfest law with minor deviations.

Critical temperature remains unchanged at weak accelerations.

Abstract

In this work we investigate the influence of weak acceleration on the confinement-deconfinement phase transition in gluodynamics. Our study is carried out within lattice simulation in the comoving reference frame of accelerated observer which is parameterized by the Rindler coordinates. We find that finite temperature confinement-deconfinement phase transition turns into spatial crossover in the Rindler spacetime. In other words, spatially separated confinement and deconfinement phases can coexist in the Rindler spacetime within certain intervals of temperature and acceleration. We determine the position of the boundary between the phases as a function of temperature for several accelerations and find that it can be described by the Tolman-Ehrenfest law with rather good accuracy although a minor deviation takes place. Moreover, the critical temperature of the system in the weak acceleration regime is found to remain unchanged as that of the standard homogeneous gluodynamics. Our results imply that the spatial confinement-deconfinement transition might take place in the vicinity of the Schwarzschild black hole horizon.