Lattice study of the confinement/deconfinement transition in rotating gluodynamics

Abstract

We study the influence of relativistic rotation on the confinement/deconfinement phase transition in gluodynamics by means of lattice simulations. The simulation is performed in the reference frame which rotates with the system under investigation, where rotation is reduced to external gravitational field. The Polyakov loop and its susceptibility are calculated for various lattice parameters and values of angular velocities which are characteristic for heavy-ion collision experiments. Different types of boundary conditions (open, periodic, Dirichlet) are imposed in directions, orthogonal to rotation axis. It is shown, that the critical temperature of the confinement/deconfinement transition in gluodynamics grows quadratically with increasing angular velocity. This conclusion does not depend on the boundary conditions used in our study and we believe that this is universal property of gluodynamics. We also present first results of the study of the phase diagram of rotating QCD matter with fermions. The results indicate, that effect of the rotation on fermions is opposite to gluons: it leads to the decrease of the critical temperature.

arXiv comment9 pages, 4 figures. Talk presented at the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021 Zoom/Gather@Massachusetts Institute of Technology

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• String tension and Polyakov loop in a rotating background
• Chiral and deconfinement transitions in spin-polarized quark matter
• On the origin of mixed inhomogeneous phase in vortical gluon plasma
• Unraveling the effect of rotation on the confinement/deconfinement transition of the quark-gluon plasma
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds