Study of the Confinement/Deconfinement Phase Transition in Rotating Lattice SU(3) 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.

Inhomogeneous confining-deconfining phases in rotating plasmas

“…1 0 dx x J m (κ ml x)J m (κ ml x) = δ ll 2 J 2 m+1 (κ ml ), (12) valid for any two roots of the Bessel functions (9). In the volume bounded by a cylinder, the integration measure over the quantum numbers is modified with respect to the integration measure in an unbounded space.…”

“…which is suitable in first-principle lattice simulations of rotating systems [12,15]. The shift rules (40) and ( 41) have a universal nature in a sense that they change the corresponding imaginary frequency in all instances it appears in the partition function Z and in the thermal expectation value of any operator O.…”

“…Besides the chiral symmetry breaking, QCD possesses the color confinement phenomenon in the lowtemperature phase. Recent numerical lattice simulations indicate that the bulk critical temperature of the deconfining phase transition can rise with the increase of the vorticity [12]. A holographic approach gives the opposite result implying that the temperature of the deconfinement transition decreases in the vortical gluonic 1 Hereafter, we work in units = c = 1.…”

“…We show that the uniform rotation may be taken into account as a simple shift of the Matsubara frequencies in the complex plane. We also discuss the analytic rotation of the real-valued angular frequency to a pure imaginary domain, Ω → Ω I = −iΩ, suitable for numerical lattice simulations [12,15]. In Section III, we briefly overview the non-perturbative features of compact electrodynamics in two spatial dimensions.…”

Energy-driven disorder in the mean field QCD

“…A difficulty for lattice calculation can be caused by the non-standard boundary conditions, which have to represent the physical boundary of a domain. However, this possibility does not look like hopeless in view of the recent lattice QCD calculations for rotating strongly interacting matter, where Dirichlet and Neumann boundary conditions have been implemented [47,48].…”