Chowdhury Aminul Islam, Raktim Abir, Munshi G. Mustafa, Sanjay K. Ghosh, Rajarshi Ray
Based on quantum statistical mechanics we show that the SU(3) colorsinglet 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. The probability of the normalized character in SU(3) is found to be maximum at a particular value exhibiting a long range color correlation. This clearly indicates a transition from a color correlated to uncorrelated phase or vise-versa. A dynamical recombination of ionized Z(3) color charges to a color singlet Z(3) symmetric confined phase is evident along with a lower bound that originates from an exchange of a pair of massive magnetic gluons between two Polyakov Loops.
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http://arxiv.org/abs/1208.3146
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