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.

9 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

References in corpus (7)

• Angular momentum conservation in heavy ion collisions at very high energy
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Boundary effects and gapped dispersion in rotating fermionic matter
• Chiral vortaic effect and neutron asymmetries at NICA
• Inhomogeneous confining-deconfining phases in rotating plasmas
• Deconfining Phase Boundary of Rapidly Rotating Hot and Dense Matter and Analysis of Moment of Inertia
• Inverse magneto-rotational catalysis and the phase diagram of a rotating hot and magnetized quark matter

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• 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