scholarly journals 2+1 flavors QCD equation of state at zero temperature within Dyson–Schwinger equations

2015 ◽  
Vol 30 (36) ◽  
pp. 1550217 ◽  
Author(s):  
Shu-Sheng Xu ◽  
Yan Yan ◽  
Zhu-Fang Cui ◽  
Hong-Shi Zong
Keyword(s):  
Phase Transitions ◽  
Equation Of State ◽  
Energy Density ◽  
Chemical Potential ◽  
Compact Stars ◽  
Zero Temperature ◽  
Number Density ◽  
Charge Neutrality ◽  
Quark Number ◽  
Research Fields

Within the framework of Dyson–Schwinger equations (DSEs), we discuss the equation of state (EOS) and quark number densities of 2+1 flavors, that is to say, [Formula: see text], [Formula: see text], and [Formula: see text] quarks. The chemical equilibrium and electric charge neutrality conditions are used to constrain the chemical potential of different quarks. The EOS in the cases of 2 flavors and 2+1 flavors are discussed, and the quark number densities, the pressure, and energy density per baryon are also studied. The results show that there is a critical chemical potential for each flavor of quark, at which the quark number density turns to nonzero from 0; and furthermore, the system with 2+1 flavors of quarks is more stable than that with 2 flavors in the system. These discussions may provide some useful information to some research fields, such as the studies related to the QCD phase transitions or compact stars.

scholarly journals Quark Number Susceptibilities and Equation of State in QCD at Finite μB

Proceedings ◽  
2019 ◽  
Vol 13 (1) ◽  
pp. 5
Author(s):  
Saumen Datta ◽  
Rajiv Gavai ◽  
Sourendu Gupta
Keyword(s):  
Equation Of State ◽  
Taylor Series ◽  
Chemical Potential ◽  
Baryon Number ◽  
Heavy Ion ◽  
Relativistic Heavy Ion Collider ◽  
Quark Number ◽  
Monte Carlo Studies ◽  
Essential Input ◽  
Beam Energy Scan

One of the main goals of the cold baryonic matter (CBM) experiment at FAIR is to explore the phases of strongly interacting matter at finite temperature and baryon chemical potential μ B . The equation of state of quantum chromodynamics (QCD) at μ B > 0 is an essential input for the CBM experiment, as well as for the beam energy scan in the Relativistic Heavy Ion Collider(RHIC) experiment. Unfortunately, it is highly nontrivial to calculate the equation of state directly from QCD: numerical Monte Carlo studies on lattice are not useful at finite μ B . Using the method of Taylor expansion in chemical potential, we estimate the equation of state, namely the baryon number density and its contribution to the pressure, for two-flavor QCD at moderate μ B . We also study the quark number susceptibilities. We examine the technicalities associated with summing the Taylor series, and explore a Pade resummation. An examination of the Taylor series can be used to get an estimate of the location of the critical point in μ B , T plane.

A MODEL STUDY OF QUARK NUMBER SUSCEPTIBILITY AT FINITE CHEMICAL POTENTIAL AND ZERO TEMPERATURE

2009 ◽  
Vol 24 (12) ◽  
pp. 2241-2251 ◽  
Author(s):  
YAN-BIN ZHANG ◽  
FENG-YAO HOU ◽  
YU JIANG ◽  
WEI-MIN SUN ◽  
HONG-SHI ZONG
Keyword(s):  
General Result ◽  
Chemical Potential ◽  
Direct Method ◽  
Quark Propagator ◽  
Zero Temperature ◽  
Quark Number ◽  
Model Study ◽  
Analytic Expression ◽  
A Direct Method ◽  
Quark Number Susceptibility

In this paper, we try to provide a direct method for calculating quark number susceptibility at finite chemical potential and zero temperature. In our approach, quark number susceptibility is totally determined by G[μ](p) (the dressed quark propagator at finite chemical potential μ). By applying the general result given in Phys. Rev. C71, 015205 (2005), G[μ](p) is calculated from the model quark propagator proposed in Phys. Rev. D67, 054019 (2003). From this the full analytic expression of quark number susceptibility at finite μ and zero T is obtained.

Quark-Number Susceptibility at Finite Chemical Potential and Zero Temperature

2008 ◽  
Vol 25 (2) ◽  
pp. 440-443 ◽  
Author(s):  
He Deng-Ke ◽  
Jiang Yu ◽  
Feng Hong-Tao ◽  
Sun Wei-Min ◽  
Zong Hong-Shi
Keyword(s):  
Chemical Potential ◽  
Zero Temperature ◽  
Quark Number ◽  
Quark Number Susceptibility

scholarly journals Equation of State and Freezeout in QCD with Staggered Quarks

2018 ◽  
Vol 175 ◽  
pp. 07035
Author(s):  
Saumen Datta ◽  
R. V. Gavai ◽  
Sourendu Gupta
Keyword(s):  
Equation Of State ◽  
Taylor Expansion ◽  
Chemical Potential ◽  
Baryon Number ◽  
Number Density ◽  
Statistical Errors

We report the equation of state at finite chemical potential, namely the baryon number density and the baryonic contribution to the pressure, using a resummation of the Taylor expansion. We also report the freezeout conditions for a measure of fluctuations. We examine the major sources of systematic and statistical errors in all of these measurements.

scholarly journals Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Prabal Adhikari ◽  
Jens O. Andersen ◽  
Patrick Kneschke
Keyword(s):  
Perturbation Theory ◽  
Equation Of State ◽  
Condensed Phase ◽  
Chiral Perturbation Theory ◽  
Chemical Potential ◽  
Tree Level ◽  
Zero Temperature ◽  
Leading Order ◽  
Chiral Perturbation ◽  
Pion Condensation

Abstract In this paper, we calculate the equation of state of two-flavor finite isospin chiral perturbation theory at next-to-leading order in the pion-condensed phase at zero temperature. We show that the transition from the vacuum phase to a Bose-condensed phase is of second order. While the tree-level result has been known for some time, surprisingly quantum effects have not yet been incorporated into the equation of state.  We find that the corrections to the quantities we compute, namely the isospin density, pressure, and equation of state, increase with increasing isospin chemical potential. We compare our results to recent lattice simulations of 2 + 1 flavor QCD with physical quark masses. The agreement with the lattice results is generally good and improves somewhat as we go from leading order to next-to-leading order in $$\chi $$χPT.

Calculation of equation of state of QCD at zero temperature and finite chemical potential

2010 ◽  
Vol 34 (9) ◽  
pp. 1324-1327
Author(s):  
Jiang Yu ◽  
Li Ning ◽  
Sun Wei-Min ◽  
Zong Hong-Shi
Keyword(s):  
Equation Of State ◽  
Chemical Potential ◽  
Zero Temperature

scholarly journals Chiral symmetry restoration and the critical end point in QCD

Open Physics ◽  
2017 ◽  
Vol 15 (1) ◽  
pp. 1039-1044 ◽  
Author(s):  
Jose Rubén Morones-Ibarra ◽  
Armando Enriquez-Perez-Gavilan ◽  
Abraham Israel Hernández Rodriguez ◽  
Francisco Vicente Flores-Baez ◽  
Nallaly Berenice Mata-Carrizalez ◽  
...  
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Chemical Potential ◽  
Quark Condensate ◽  
Number Density ◽  
Chiral Symmetry Restoration ◽  
Chiral Phase ◽  
Quark Number ◽  
Quark Number Susceptibility ◽  
Transition Type

AbstractIn a system of quark matter we study the chiral phase transition, the behavior of the chiral and quark number susceptibility and the CEP at finite temperature and chemical potential. This is done within the framework of two-flavor Nambu and Jona-Lasinio model. We have calculated the chiral quark condensate and the quark number density and, with this, we have found the phase transition type. With these quantities we have determined the phase diagram for QCD and the CEP.

scholarly journals Hybrid stars from a three-flavor NJL model with two kinds of tensor condensates

2020 ◽  
Vol 29 (10) ◽  
pp. 2050093
Author(s):  
Masatoshi Morimoto ◽  
Yasuhiko Tsue ◽  
João da Providência ◽  
Constança Providência ◽  
Masatoshi Yamamura
Keyword(s):  
Equation Of State ◽  
Quark Matter ◽  
Thermodynamic Potential ◽  
Chemical Potential ◽  
Point Interaction ◽  
Condensed Phases ◽  
Charge Neutrality ◽  
Njl Model ◽  
Hybrid Stars ◽  
The Relationship

To obtain the equation of state of quark matter and construct hybrid stars, we calculate the thermodynamic potential in the three-flavor Nambu–Jona-Lasinio model including the tensor-type four-point interaction and the Kobayashi–Maskawa–’t Hooft interaction. To construct the hybrid stars, it is necessary to impose the [Formula: see text] equilibrium and charge neutrality conditions on the system. It is shown that tensor condensed phases appear at large chemical potential. Under the possibility of the existence of the tensor condensates, the relationship between the radius and mass of hybrid stars is estimated.

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