2012/08/31 by Chowdhury Aminul Islam, Raktim Abir, Munshi G. Mustafa +2 · 1 citation
Physics and Astronomy · #hep-ph #hep-lat #nucl-th
paper · pdf · doi:10.1088/0954-3899/41/2/025001
published as J. Phys. G: Nucl. Part. Phys. 41 025001 (2014) · Version published in J. Phys. G
arxiv created 2014/12/29 · arxiv updated 2014/12/30
Based on quantum statistical mechanics we show that the SU(3) color singlet ensemble of a quark-gluon gas exhibits a Z(3) symmetry through the normaized character in fundamental representation and also becomes equivalent, within a stationary point approximation, to the ensemble given by Polyakov Loop. Also Polyakov Loop gauge potential is obtained by considering spatial gluons along with the invariant Haar measure at each space point. The probability of the normalized character in SU(3) vis-a-vis Polyakov Loop is found to be maximum at a particular value exhibiting a strong color correlation. This clearly indicates a transition from a color correlated to uncorrelated phase or vise-versa. When quarks are included to the gauge fields, a metastable state appears in the temperature range 145≤ T(\rmMeV) ≤ 170 due to the explicit Z(3) symmetry breaking in the quark-gluon system. Beyond T≥ 170 MeV the metastable state disappears and stable domains appear. At low temperature a dynamical recombination of ionized Z(3) color charges to a color singlet Z(3) confined phase is evident along with a confining background that originates due to circulation of two virtual spatial gluons but with conjugate Z(3) phases in a closed loop. We also discuss other possible consequences of the center domains in the color deconfined phase at high temperature.