Inhomogeneous SU(2) gluon matter under rotation

TL;DR

This paper investigates the effects of rotation on SU(2) gluon matter using a dyon ensemble, revealing how rotation influences deconfinement temperature and phase behavior in a semi-classical framework.

Contribution

It introduces a method to compute rotational corrections to dyon solutions and the deconfinement temperature in rotating SU(2) gluon matter, extending understanding of rotational effects in gauge theories.

Findings

Rotational corrections to dyon solutions are derived up to order ω^2.

Radial dependence of deconfinement temperature is qualitatively consistent with lattice results.

Rotation affects deconfinement differently in real and imaginary velocity cases.

Abstract

In this work a rotating SU(2) gluon system have been studied with the dyon ensemble in dilute limit. By solving the rotation-modified Yang-Mills equation we have obtained rotational corrections to the so-called dyon solutions with arbitrary centers to $\mathcal{O}(\omega^2)$ order and the corresponding semi-classical potential. The radial position dependent deconfinement temperature have been obtained by minimizing the semi-classical potential in both real and imaginary angular velocity cases. Although without the $\omega$-dependent coupling constant the critical temperature behaves different from the lattice simulation at each radial position as the rotation goes faster, its radial dependence is qualitatively the same as the lattice. That is in the real velocity case the outer layer will deconfine more difficult while the reverse is true in the imaginary velocity case.