Critical behaviors of the 
O(4)
 and 
Z(2)
 symmetries in the QCD phase diagram

AbstractDifferent aspects of the phase diagram of strongly interacting matter described by quantum chromodynamics (QCD), which have emerged from the recent studies using lattice gauge theory techniques, are discussed. A special emphasis is given on understanding the role of the anomalous axial U(1) symmetry in determining the order of the finite temperature chiral phase transition in QCD with two massless quark flavors and tracing its origin to the topological properties of the QCD vacuum.

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Universal Off-Equilibrium Scaling of Critical Cumulants in the QCD Phase Diagram

Physical Review Letters ◽

10.1103/physrevlett.117.222301 ◽

2016 ◽

Vol 117 (22) ◽

Cited By ~ 40

Author(s):

Swagato Mukherjee ◽

Raju Venugopalan ◽

Yi Yin

Keyword(s):

Phase Diagram ◽

Qcd Phase Diagram

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Mass and radius constraints for compact stars and the QCD phase diagram

Journal of Physics Conference Series ◽

10.1088/1742-6596/496/1/012002 ◽

2014 ◽

Vol 496 ◽

pp. 012002 ◽

Cited By ~ 11

Author(s):

David B Blaschke ◽

Hovik A Grigorian ◽

David E Alvarez-Castillo ◽

Alexander S Ayriyan

Keyword(s):

Phase Diagram ◽

Compact Stars ◽

Qcd Phase Diagram

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On SU(3) Effective Models and Chiral Phase Transition

Advances in High Energy Physics ◽

10.1155/2015/563428 ◽

2015 ◽

Vol 2015 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Abdel Nasser Tawfik ◽

Niseem Magdy

Keyword(s):

Phase Transition ◽

Phase Diagram ◽

Lattice Qcd ◽

High Energy ◽

Particle Model ◽

Chiral Phase ◽

Chiral Phase Transition ◽

Thermal Models ◽

Qcd Phase Diagram ◽

Freeze Out

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.

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Using the Linear Sigma Model with quarks to describe the QCD phase diagram and to locate the critical end point

EPJ Web of Conferences ◽

10.1051/epjconf/201817208002 ◽

2018 ◽

Vol 172 ◽

pp. 08002

Author(s):

Alejandro Ayala ◽

Jorge David Castaño-Yepes ◽

José Antonio Flores ◽

Saúl Hernández ◽

Luis Hernández

Keyword(s):

Phase Diagram ◽

Critical Temperature ◽

Sigma Model ◽

Chemical Potential ◽

Linear Sigma Model ◽

Transition Line ◽

Baryon Chemical Potential ◽

First Order ◽

Qcd Phase Diagram ◽

Crossover Transition

We study the QCD phase diagram using the linear sigma model coupled to quarks. We compute the effective potential at finite temperature and quark chemical potential up to ring diagrams contribution. We show that, provided the values for the pseudo-critical temperature Tc = 155 MeV and critical baryon chemical potential μBc ≃ 1 GeV, together with the vacuum sigma and pion masses. The model couplings can be fixed and that these in turn help to locate the region where the crossover transition line becomes first order.

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The QCD Phase-Diagram Obtained from the NJL and the Extended-NJL Models for Quark and Hadron Phases

International Journal of Modern Physics Conference Series ◽

10.1142/s201019451760059x ◽

2017 ◽

Vol 45 ◽

pp. 1760059

Author(s):

Clebson A. Graeff ◽

Débora P. Menezes

Keyword(s):

Phase Transition ◽

Phase Diagram ◽

Equations Of State ◽

Original Formulation ◽

Qcd Phase Diagram ◽

Hadron Phase ◽

Vector Interaction ◽

Njl Model ◽

Quark Phase

We analyse the hadron/quark phase transition described by the Nambu-Jona-Lasinio (NJL) model [quark phase] and the extended Nambu-Jona-Lasinio model (eNJL) [hadron phase]. While the original formulation of the NJL model is not capable of describing hadronic properties due to its lack of confinement, it can be extended with a scalar-vector interaction so it exhibits this property, the so-called eNJL model. As part of this analysis, we obtain the equations of state within the SU(2) versions of both models for the hadron and the quark phases and determine the binodal surface.

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