Chiral Symmetry Restoration and $Z_N$ Symmetry

Details Chiral Symmetry Restoration and $Z_N$ Symmetry Chiral Symmetry Restoration and $Z_N$ Symmetry

1995-12-07

arxiv.org/abs/hep-lat/9512011v1

Phys.Lett.B379:163-168,1996

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages (LaTeX), 4 postscript figures, uuencoded

Scientific paper

10.1016/0370-2693(96)00447-9

We demonstrate that chiral symmetry restoration in quenched finite temperature QCD depends crucially on the $Z_3$ phase of the Polyakov loop ${\cal P}$. This dependence is a general consequence of the coupling of the chiral order parameter to the Polyakov loop. We construct a model for chiral symmetry breaking and restoration which includes the effect of a nontrivial Polyakov loop by calculating the effective potential for the chiral condensate of a Nambu-Jona-Lasinio model in a uniform temperature dependent $A_0$ gauge field background. Above the deconfinement temperature there are three possible phases corresponding to the $Z_3$ symmetric phases of the Polyakov loop in the pure gauge theory. In the phase in which ${\rm tr_c}({\cal P})$ is real and positive the first order deconfining transition induces chiral symmetry restoration in agreement with simulation results. In the two phases where $Re[{\rm tr_c}({\cal P})] < 0$ the sign of the leading finite temperature correction to the effective potential is reversed from the normal phase, and chiral symmetry is not restored at the deconfinement transition; this agrees with the recent simulation studies of Chandrasekharan and Christ. In the case of $SU(N)$ a rich set of possibilites emerges. The generality of the mechanism makes it likely to occur in full QCD as well; this will increase the lifetimes of metastable $Z_3$ phases.

Affiliated with

Also associated with

No associations

Rating

Chiral Symmetry Restoration and $Z_N$ Symmetry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chiral Symmetry Restoration and $Z_N$ Symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chiral Symmetry Restoration and $Z_N$ Symmetry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-90554