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Advances in High Energy Physics
Volume 2015 (2015), Article ID 563428, 15 pages
Research Article

On SU(3) Effective Models and Chiral Phase Transition

1Egyptian Center for Theoretical Physics (ECTP), Modern University for Technology and Information (MTI), Cairo 11571, Egypt
2World Laboratory for Cosmology And Particle Physics (WLCAPP), Cairo 11571, Egypt
3Department of Physics, Brookhaven National Laboratory (BNL), P.O. Box 5000, Upton, NY 11973-5000, USA

Received 29 April 2015; Revised 15 August 2015; Accepted 6 September 2015

Academic Editor: Enrico Lunghi

Copyright © 2015 Abdel Nasser Tawfik and Niseem Magdy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


Sensitivity of Polyakov Nambu-Jona-Lasinio (PNJL) model and Polyakov linear sigma-model (PLSM) has been utilized in studying QCD phase-diagram. From quasi-particle model (QPM) a gluonic sector is integrated into LSM. The hadron resonance gas (HRG) model is used in calculating the thermal and dense dependence of quark-antiquark condensate. We review these four models with respect to their descriptions for the chiral phase transition. We analyze the chiral order parameter, normalized net-strange condensate, and chiral phase-diagram and compare the results with recent lattice calculations. We find that PLSM chiral boundary is located in upper band of the lattice QCD calculations and agree well with the freeze-out results deduced from various high-energy experiments and thermal models. Also, we find that the chiral temperature calculated from HRG is larger than that from PLSM. This is also larger than the freeze-out temperatures calculated in lattice QCD and deduced from experiments and thermal models. The corresponding temperature and chemical potential are very similar to that of PLSM. Although the results from PNJL and QLSM keep the same behavior, their chiral temperature is higher than that of PLSM and HRG. This might be interpreted due the very heavy quark masses implemented in both models.