String tension and Polyakov loop in a rotating background

TL;DR

This paper investigates how rotation affects the string tension and confinement-deconfinement transition temperature in gluodynamics using gauge/gravity duality, revealing that rotation decreases string tension but increases transition temperature.

Contribution

It compares global and local approaches to incorporate rotation and aligns findings with lattice simulation results.

Findings

String tension decreases with increasing angular velocity.

Transition temperature increases with increasing angular velocity.

Results are consistent with lattice simulation data.

Abstract

We study the influence of a rotation on the string tension and the temperature of the confinement-deconfinement transition of gluodynamics by gauge/gravity duality. We explore two distinct approaches, global transformation and local transformation, to introduce rotation and compare the results. It is shown that the string tension extracted from the free energy in the presence of a heavy quarkonium decreases with the increasing angular velocity, while the transition temperature determined by the Polyakov loop increases with increasing angular velocity, which is in line with lattice simulations.