scholarly journals New insight on the quark condensate beyond the chiral limit

2021 ◽  
Vol 104 (9) ◽  
Author(s):  
Ling-feng Chen ◽  
Zhan Bai ◽  
Fei Gao ◽  
Yu-xin Liu
Keyword(s):  
Chiral Limit ◽  
Quark Condensate

NJL model with the modified quark-dependent coupling strength G

2017 ◽  
Vol 32 (20) ◽  
pp. 1750107 ◽  
Author(s):  
Zhou-You Fan ◽  
Wen-Kai Fan ◽  
Qing-Wu Wang ◽  
Hong-Shi Zong
Keyword(s):  
Coupling Strength ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Chiral Limit ◽  
Pion Mass ◽  
Quark Condensate ◽  
Qcd Phase Diagram ◽  
Njl Model ◽  
Lattice Quantum ◽  
Current Quark

In this paper, the coupling strength G of the Nambu–Jona-Lasinio (NJL) model is modified by incorporating quark’s feedback into the gluon propagator. The modified two-flavor NJL model with the quark-dependent coupling strength is explored. The quark condensate in this framework has a conspicuous agreement with the lattice quantum chromodynamics (QCD) results at finite temperature. Then, it is compared with the original NJL model in both zero (chiral limit) and nonzero current quark mass. The QCD phase diagram and susceptibilities are investigated in the temperature–chemical potential [Formula: see text] plane. Therefore, the pseudo-critical temperature [Formula: see text] and the critical end point (CEP) are worked out and compared with original NJL model or lattice QCD results. In addition, the pion mass and decay constant are studied at finite temperature.

A SEMIPHENOMENOLOGICAL DETERMINATION OF QUARK CONDENSATE

1994 ◽  
Vol 09 (04) ◽  
pp. 499-506 ◽  
Author(s):  
XIN-HENG GUO ◽  
TAO HUANG
Keyword(s):  
Renormalization Group ◽  
Chiral Limit ◽  
Chiral Symmetry Breaking ◽  
Quark Condensate ◽  
Coupling Constant ◽  
Critical Coupling ◽  
Group Invariant ◽  
The One ◽  
Consistent Equation

A consistent equation for the quark condensate in the chiral limit provides a determination of the renormalization-group-invariant quark condensate. A critical point at which the strong coupling constant is big enough for chiral symmetry breaking to take place is found. They are analyzed at the one- and two-loop levels respectively. An intuitive picture of the condensation above the critical coupling constant is discussed.

THE STUDY OF QCD PHASE TRANSITION AT FINITE TEMPERATURE AND CHIRAL CHEMICAL POTENTIAL IN A DYSON–SCHWINGER EQUATION MODEL

2013 ◽  
Vol 28 (23) ◽  
pp. 1350105 ◽  
Author(s):  
LIU-JUN LUO ◽  
SONG SHI ◽  
HONG-SHI ZONG
Keyword(s):  
Phase Transition ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Chiral Limit ◽  
Quark Condensate ◽  
Equation Model ◽  
Qcd Phase Transition ◽  
Qcd Phase Diagram ◽  
Chiral Susceptibility ◽  
Current Quark

In this paper, we use a separable gluon propagator model to study the Quantum Chromodynamics (QCD) phase transition at finite temperature and chiral chemical potential. Using this model, we calculate the quark condensate and the chiral susceptibility at finite temperature and chiral chemical potential both in the chiral limit and at finite current quark mass. Based on these, we obtain the QCD phase diagram in the μ5-T plane.

scholarly journals THE QUARK CONDENSATE IN THE GELL-MANN-OAKES-RENNER RELATION

1996 ◽  
Vol 11 (16) ◽  
pp. 1331-1337 ◽  
Author(s):  
K. LANGFELD ◽  
C. KETTNER
Keyword(s):  
Quark Propagator ◽  
Quark Condensate ◽  
Usual Definition ◽  
Gluon Exchange ◽  
Current Mass ◽  
Definition Of

The quark condensate which enters the Gell-Mann-Oakes-Renner (GMOR) relation, is investigated in the framework of one-gluon-exchange models. The usual definition of the quark condensate via the trace of the quark propagator produces a logarithmic divergent condensate. In the product of current mass and condensate, this divergence is precisely compensated by the bare current mass. The finite value of the product in fact does not contradict the relation recently obtained by Cahill and Gunner. Therefore the GMOR relation is still satisfied.

The top quark condensate

1990 ◽  
Vol 241 (2) ◽  
pp. 249-254 ◽  
Author(s):  
Stephen F. King ◽  
Samjid H. Mannan
Keyword(s):  
Top Quark ◽  
Quark Condensate

scholarly journals Publisher’s Note: Quark condensate in two-flavor QCD [Phys. Rev. D74, 094504 (2006)]

2006 ◽  
Vol 74 (9) ◽  
Author(s):  
Thomas DeGrand ◽  
Zhaofeng Liu ◽  
Stefan Schaefer
Keyword(s):  
Quark Condensate
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