Imaginary Rotating Gluonic Matter at Strong Coupling

TL;DR

This paper develops an effective theory for imaginary-rotating gluonic matter to study the deconfinement transition, revealing that the transition temperature rises with increasing imaginary angular velocity, aligning with existing models and perturbative results.

Contribution

It introduces a modified Polyakov-loop effective theory incorporating chair-type loops to analyze the deconfinement transition under imaginary rotation at strong coupling.

Findings

Deconfinement temperature increases with imaginary angular velocity.

Modified nearest-neighbor Polyakov-loop interaction due to temporal loops.

Results agree with model predictions and high-temperature perturbative calculations.

Abstract

We write down an effective theory of the Polyakov loop to investigate the deconfinement phase transition of imaginary-rotating gluonic matter using the strong-coupling expansion. We find the strength of the nearest-neighbor Polyakov-loop interaction modified by the sum of contributions involving the chair-type loops along the temporal direction. Our results show that the deconfinement transition temperature increases with increasing imaginary angular velocity, which agrees with the predictions from the models and the high-temperature perturbative calculations.