Strong Coupling Expansion of Gluodynamics on a Lattice under Rotation

TL;DR

This paper develops a systematic strong coupling expansion for gluodynamics under rotation, revealing a decrease in deconfinement temperature with angular velocity, and provides a new formula relating temperature shifts to thermodynamic discontinuities.

Contribution

It introduces a novel analytic strong coupling expansion for rotating gluodynamics and derives a formula linking deconfinement temperature shifts to latent heat and moment of inertia discontinuity.

Findings

Deconfinement temperature decreases with angular velocity up to ^2.

Derived a formula for ^2 coefficient of temperature shift.

Expansion is systematic and assumption-free.

Abstract

The analytic strong coupling expansion of the gluodynamics under a rotation with an angular velocity $\omega$ is reported. While the expansion is systematic, free from additional assumptions, the deconfinement temperature determined by the onset of the Polyakov loop expectation value decreases with the angular velocity up to $\omega^2$, opposite to the tendency found in numerical simulations. As a by-product, a simple formula is obtained for the $\omega^2$ coefficient of the deconfinement temperature shift in terms of the latent heat and the discontinuity of the moment of inertia at the transition without rotation. This formula is independent of the strong coupling and may benefit further investigation of the subject.