Second order chiral restoration phase transition at low temperatures in quarkyonic matter

TL;DR

This paper demonstrates that in a confining, chirally symmetric large N_c model, the chiral restoration phase transition at low temperatures in quarkyonic matter is of second order, differing from NJL models and impacting QCD phase diagram understanding.

Contribution

It reveals the second order nature of the chiral transition in a confining large N_c model, contrasting with NJL models, and discusses implications for the QCD phase diagram.

Findings

Chiral restoration transition is second order in the model.

Contrasts with NJL models which are not confining.

Implications for the QCD critical end point.

Abstract

In this Addendum to our recent paper, Phys. Rev. D 77, 054027 (2008), we point out that a chiral restoration phase transition in a quarkyonic matter at low temperatures is of second order within a manifestly confining and chirally symmetric large $N_c$ model. This result is qualitatively different as compared to NJL and NJL-like models that are not confining and might have some implications for the existence or nonexistence of the critical end point in the QCD phase diagram.