Lattice study of the confinement/deconfinement transition in rotating gluodynamics

TL;DR

This study uses lattice simulations to explore how relativistic rotation affects the confinement/deconfinement transition in gluodynamics, revealing that rotation raises the critical temperature for gluons but lowers it for fermions, indicating a complex phase diagram.

Contribution

First lattice simulation of rotating gluodynamics showing the universal quadratic increase of critical temperature with angular velocity and initial insights into rotating QCD with fermions.

Findings

Critical temperature for gluons increases quadratically with angular velocity.

Boundary conditions do not affect the universal nature of the transition.

Rotation decreases the critical temperature for fermions, opposite to gluons.

Abstract

We study the influence of relativistic rotation on the confinement/deconfinement phase transition in gluodynamics by means of lattice simulations. The simulation is performed in the reference frame which rotates with the system under investigation, where rotation is reduced to external gravitational field. The Polyakov loop and its susceptibility are calculated for various lattice parameters and values of angular velocities which are characteristic for heavy-ion collision experiments. Different types of boundary conditions (open, periodic, Dirichlet) are imposed in directions, orthogonal to rotation axis. It is shown, that the critical temperature of the confinement/deconfinement transition in gluodynamics grows quadratically with increasing angular velocity. This conclusion does not depend on the boundary conditions used in our study and we believe that this is universal property of gluodynamics. We also present first results of the study of the phase diagram of rotating QCD matter with fermions. The results indicate, that effect of the rotation on fermions is opposite to gluons: it leads to the decrease of the critical temperature.