U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface

Details U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface

2009-01-16

arxiv.org/abs/0901.2407v3

Phys.Rev.D80:054012,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 5 figures

Scientific paper

10.1103/PhysRevD.80.054012

We discuss the chiral phase transition in hot and dense QCD with three light flavors. Inspired by the well known fact that the U_A(1) anomaly could induce first order phase transitions, we study the effect of the possible restoration of the U_A(1) symmetry at finite density. In particular, we explore the link between the U_A(1) restoration and the recent lattice QCD results of de Forcrand and Philipsen, in which the first order phase transition region near zero chemical potential (mu) shrinks in the quark mass and mu space when mu is increased. Starting from the Ginzburg-Landau theory for general discussions, we then use the Nambu--Jona-Lasinio model for quantitative studies. With the partial U_A(1) restoration modeled by the density dependent 't Hooft interaction, we fit the shrinking of the critical surface found in de Forcrand and Philipsen's lattice calculation at low mu. At higher mu, the critical surface might shrink or expand, depending on the scenarios. This raises the possibility that despite the shrinking of the critical surface at lower mu, the QCD critical end point might still exist due to the expansion at higher mu. In this case, very high precision lattice data will be needed to detect the back-bending of the critical surface with the currently available analytic continuation or Taylor expansion approaches. Lattice computations could, however, test whether the U_A(1) restoration is responsible for the shrinking of the critical surface by computing eta' mass or the topological susceptibility at small mu.

Affiliated with

Also associated with

No associations

Rating

U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface 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 U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-127061