scholarly journals Curvature of the critical line on the plane of quark chemical potential and pseudoscalar meson mass for three-flavor QCD

2015 ◽  
Vol 92 (11) ◽  
Author(s):  
Xiao-Yong Jin ◽  
Yoshinobu Kuramashi ◽  
Yoshifumi Nakamura ◽  
Shinji Takeda ◽  
Akira Ukawa
Keyword(s):  
Pseudoscalar Meson ◽  
Critical Line ◽  
Chemical Potential ◽  
Meson Mass

scholarly journals Relative scale setting for two-color QCD with Nf = 2 Wilson fermions

2020 ◽  
Author(s):  
Kei Iida ◽  
Etsuko Itou ◽  
Tong-Gyu Lee
Keyword(s):  
Phase Diagram ◽  
Critical Temperature ◽  
Pseudoscalar Meson ◽  
Continuum Limit ◽  
Chemical Potential ◽  
Gradient Flow ◽  
Meson Mass ◽  
Qcd Phase Diagram ◽  
Theoretical Analyses ◽  
The Continuum

Abstract We determine the scale setting function and the pseudo-critical temperature on the lattice in Nf = 2 two-color QCD using the Iwasaki gauge and Wilson fermion actions. Although two-color QCD does not correspond to the real world, it is very useful as a good testing ground for three-color QCD. The scale setting function gives the relative lattice spacings of simulations performed at different values of the bare coupling. It is a necessary tool for taking the continuum limit. Firstly, we measure the meson spectra for various combinations of (β, κ) and find a line of constant physics in β – κ plane. Next, we determine the scale setting function via w0 scale in the gradient flow method. Furthermore, we estimate the pseudo-critical temperature at zero chemical potential from the chiral susceptibility.Combining these results, we can discuss the QCD phase diagram in which both axes are given by dimensionless quantities, namely, the temperature normalized by the pseudo-critical temperature on the lattice and the chemical potential normalized by the pseudoscalar meson mass. It makes it easy to compare among several lattice studies and also makes it possible to compare theoretical analyses and lattice studies in the continuum limit.

scholarly journals Lattice QCD at Finite Temperature and Density

2007 ◽  
Vol 22 (07n10) ◽  
pp. 457-471 ◽  
Author(s):  
M. P. LOMBARDO
Keyword(s):  
Lattice Qcd ◽  
Finite Temperature ◽  
Taylor Expansion ◽  
Critical Line ◽  
Chemical Potential ◽  
Normal Phase ◽  
Theoretical Physics ◽  
General Introduction ◽  
Sign Problem ◽  
The Subject

A general introduction into the subject aimed at a general theoretical physics audience. We introduce the sign problem posed by finite density lattice QCD, and we discuss the main methods proposed to circumvent it, with emphasis on the imaginary chemical potential approach. The interrelation between Taylor expansion and analytic continuation from imaginary chemical potential is discussed in detail. The main applications to the calculation of the critical line, and to the thermodynamics of the hot and normal phase are reviewed.

scholarly journals ON PHASE DIAGRAM OF GROSS-NEVEU MODEL AT FINITE TEMPERATURE, DENSITY AND CONSTANT CURVATURE

1995 ◽  
Vol 10 (24) ◽  
pp. 1777-1785 ◽  
Author(s):  
SHINYA KANEMURA ◽  
HARU-TADA SATO
Keyword(s):  
Constant Curvature ◽  
Finite Temperature ◽  
Critical Line ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Critical Surface ◽  
Leading Order ◽  
Third Order ◽  
Curvature Approximation ◽  
Gross Neveu Model

We discuss a phase structure of chiral symmetry breaking in the Gross-Neveu model at finite temperature, density and constant curvature. The effective potential is evaluated in the leading order of the 1/N-expansion and in a weak curvature approximation. The third-order critical line is found on the critical surface in the parameter space of temperature, chemical potential and constant curvature.

scholarly journals Meson mass at large baryon chemical potential in dense QCD

2000 ◽  
Vol 477 (1-3) ◽  
pp. 137-140 ◽  
Author(s):  
Deog Ki Hong ◽  
Taekoon Lee ◽  
Dong-Pil Min
Keyword(s):  
Chemical Potential ◽  
Meson Mass ◽  
Baryon Chemical Potential
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