Confinement/Deconfinement temperature for a rotating quark-gluon plasma

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.Comment: 13 pages, 3 figures. More discussions and clarifications about the thermodynamics of the model and other aspects included, one new appendix and new references added. Version accepted in Phys. Rev.