scholarly journals Pion condensation and the QCD phase diagram at finite isospin density

2019 ◽  
Author(s):  
Jens Oluf Andersen ◽  
Prabal Adhikari ◽  
Patrick Kneschke
Keyword(s):  
Phase Diagram ◽  
Pion Condensation ◽  
Qcd Phase Diagram

scholarly journals Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

Particles ◽  
2020 ◽  
Vol 3 (1) ◽  
pp. 62-79 ◽  
Author(s):  
Tamaz G. Khunjua ◽  
Konstantin G. Klimenko ◽  
Roman N. Zhokhov
Keyword(s):  
Phase Diagram ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Phase Structure ◽  
Chiral Symmetry Breaking ◽  
Pion Mass ◽  
Baryon Density ◽  
Persistent Problem ◽  
Pion Condensation ◽  
Qcd Phase Diagram

Recently it has been found that quantum chromodynamics (QCD) phase diagram possesses a duality between chiral symmetry breaking and pion condensation. For the first time this was revealed in the QCD motivated toy model. Then it was demonstrated in effective models as well and new additional dualities being found. We briefly recap the main features of this story and then discuss its applications as a tool to explore the QCD phase structure. The most appealing application is the possibility of getting the results on the QCD phase diagram at large baryon density. Taking the idea from large 1 / N c universalities it was argued that the scenario of circumventing the sign problem with the help of dualities seems plausible. It is also discussed that there is a persistent problem about whether there should be catalysis or anti-catalysis of chiral symmetry breaking by chiral imbalance. One can probably say that the issue is settled after lattice results (first principle approach), where the catalysis was observed. But they used an unphysically large pion mass so it is still interesting to get additional indications that this is the case. It is shown just by the duality property that there exists catalysis of chiral symmetry breaking. So, having in mind our results and the earlier lattice simulations, one can probably claim that this issue is settled. It is demonstrated that the duality can be used to obtain new results. As an example, it is showcased how the phase structure of dense quark matter with chiral imbalance (with possibility of inhomogeneous phases) can be obtained from the knowledge of a QCD phase diagram with isopin asymmetry.

More on the QCD phase diagram at finite temperatures

1988 ◽  
Vol 38 (10) ◽  
pp. 3266-3276 ◽  
Author(s):  
R. V. Gavai ◽  
J. Potvin ◽  
S. Sanielevici
Keyword(s):  
Phase Diagram ◽  
Qcd Phase Diagram

scholarly journals Updates on the QCD phase diagram from lattice

2021 ◽  
Vol 31 (1) ◽  
Author(s):  
Sayantan Sharma
Keyword(s):  
Phase Diagram ◽  
Lattice Gauge Theory ◽  
Topological Properties ◽  
Chiral Phase ◽  
Qcd Phase Diagram ◽  
Qcd Vacuum ◽  
Lattice Gauge ◽  
Massless Quark ◽  
Quark Flavors

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.

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

2016 ◽  
Vol 117 (22) ◽  
Author(s):  
Swagato Mukherjee ◽  
Raju Venugopalan ◽  
Yi Yin
Keyword(s):  
Phase Diagram ◽  
Qcd Phase Diagram

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

2014 ◽  
Vol 496 ◽  
pp. 012002 ◽  
Author(s):  
David B Blaschke ◽  
Hovik A Grigorian ◽  
David E Alvarez-Castillo ◽  
Alexander S Ayriyan
Keyword(s):  
Phase Diagram ◽  
Compact Stars ◽  
Qcd Phase Diagram

scholarly journals On SU(3) Effective Models and Chiral Phase Transition

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
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.

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

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.

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

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.

scholarly journals QCD Phase Diagram with 2-flavor Lattice Fermion Formulations

2012 ◽  
Author(s):  
Taro Kimura ◽  
Tatsuhiro Misumi ◽  
Akira Ohnishi
Keyword(s):  
Phase Diagram ◽  
Qcd Phase Diagram ◽  
Lattice Fermion
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