Spatially inhomogeneous confinement-deconfinement phase transition in accelerated gluodynamics

TL;DR

This paper investigates how weak acceleration influences the confinement-deconfinement phase transition in SU(3) Yang--Mills theory using lattice simulations in Rindler spacetime, revealing coexistence of phases and boundary shifts.

Contribution

It introduces a lattice simulation approach in Rindler spacetime to study phase boundaries under acceleration, highlighting phase coexistence and boundary behavior.

Findings

Spatially separated confinement and deconfinement phases can coexist.

The phase boundary position depends on temperature and acceleration.

Critical temperature remains unchanged in weak acceleration regimes.

Abstract

This study explores confinement-deconfinement transition properties of SU($3$) Yang--Mills theory under weak accelerations at finite temperatures, using first-principles lattice simulations. The system is formulated in the Rindler spacetime, and the properties are studied from the perspective of a co-accelerating observer situated at the center of the lattice. We found that spatially separated confinement and deconfinement phases can coexist in the Rindler spacetime within certain intervals of temperature and acceleration. The position of the boundary between the phases is calculated as a function of temperature for several accelerations, and it is in accordance with the TE prediction, although a small deviation is observed. Moreover, in the weak acceleration regime, the critical temperature of the system is found to coincide with that of non-accelerated gluodynamics.