Confinement/Deconfinement temperature for a rotating quark-gluon plasma

TL;DR

This paper explores how the rotation of a quark-gluon plasma affects its confinement/deconfinement transition temperature using holographic AdS/QCD models, finding that increased rotation lowers the critical temperature.

Contribution

It introduces a holographic model with cylindrical symmetry and Lorentz boost to study rotational effects on the QGP phase transition, providing a quantitative relation for $T_c$ versus rotational velocity.

Findings

Increased rotational velocity decreases the transition temperature.

The relation $T_c(v) = T_c(0)/\gamma(v)$ is established.

Both hard and soft wall models show consistent results.

Abstract

Non-central heavy ion collisions lead to the production of a quark gluon plasma with angular momentum. We investigate, using holographic AdS/QCD models, how does rotation of the medium affects the confinement/deconfinement transition temperature $T_c$. In holographic models, this transition is represented by a Hawking-Page process involving two asymptotically anti-de Sitter spaces. The plasma is represented here by extending the holographic approach to anti-de Sitter spaces with cylindrical symmetry. Then, the rotation of the medium is introduced through a Lorentz boost. We consider hard and soft wall AdS/QCD models. In both cases we find it out that, as the rotational velocity $v$ increases, $T_c$ decreases, following the expression $T_c(v) = T_c(0)/\gamma(v)$, where $\gamma(v)$ is the Lorentz factor.