scholarly journals Quark number densities at imaginary chemical potential inNf=2lattice QCD with Wilson fermions and its model analyses

2015 ◽  
Vol 91 (1) ◽  
Author(s):  
Junichi Takahashi ◽  
Hiroaki Kouno ◽  
Masanobu Yahiro
Keyword(s):  
Chemical Potential ◽  
Quark Number ◽  
Wilson Fermions

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 A model study of quark-number susceptibility at finite chemical potential and temperature

2009 ◽  
Vol 680 (5) ◽  
pp. 432-437 ◽  
Author(s):  
Deng-ke He ◽  
Xiao-xia Ruan ◽  
Yu Jiang ◽  
Wei-min Sun ◽  
Hong-shi Zong
Keyword(s):  
Chemical Potential ◽  
Quark Number ◽  
Model Study ◽  
Quark Number Susceptibility

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 How the Quark Number fluctuates in QCD at small chemical potential

2011 ◽  
Author(s):  
Kim Splittorff ◽  
Maria-Paola Lombardo ◽  
Jacobus Verbaarschot
Keyword(s):  
Chemical Potential ◽  
Quark Number ◽  
Small Chemical

scholarly journals Dirac-mode analysis for quark number density and its application for deconfinement transition

2018 ◽  
Vol 175 ◽  
pp. 12003
Author(s):  
Takahiro M. Doi ◽  
Kouji Kashiwa
Keyword(s):  
Lattice Qcd ◽  
Quark Mass ◽  
Chemical Potential ◽  
Analytical Formula ◽  
Mass Region ◽  
Polyakov Loop ◽  
Mode Analysis ◽  
Number Density ◽  
Mode Expansion ◽  
Quark Number

The quark number density at finite imaginary chemical potential is investigated in the lattice QCD using the Dirac-mode expansion. We find the analytical formula of the quark number density in terms of the Polyakov loop in the large quark mass regime. On the other hand, in the small quark mass region, the quark number density is investigated by using the quenched lattice QCD simulation. The quark number density is found to strongly depend on the low-lying Dirac modes while its sign does not change. This result leads to that the quark number holonomy is not sensitive to the low-lying Dirac modes. We discuss the confinement-deconfinement transition from the property of the quark number density and the quark number holonomy.

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