scholarly journals New method for numerically solving the chemical potential dependence of the dressed quark propagator

2005 ◽  
Vol 72 (3) ◽  
Author(s):  
Feng-yao Hou ◽  
Lei Chang ◽  
Wei-min Sun ◽  
Hong-shi Zong ◽  
Yu-xin Liu
Keyword(s):  
Chemical Potential ◽  
Quark Propagator ◽  
New Method ◽  
Potential Dependence

Chemical Potential Dependence of the Dressed-Quark Propagator in a Simple Confining QCD Model

2004 ◽  
Vol 21 (7) ◽  
pp. 1232-1235 ◽  
Author(s):  
Zong Hong-Shi ◽  
Hou Feng-Yao ◽  
Chen Xiang-Song ◽  
Liu Yu-Xin
Keyword(s):  
Chemical Potential ◽  
Quark Propagator ◽  
Potential Dependence

scholarly journals THE CHIRAL QUARK CONDENSATE AND THE BAG CONSTANT WITH FINITE CHEMICAL POTENTIAL

2006 ◽  
Vol 21 (16) ◽  
pp. 3387-3399 ◽  
Author(s):  
HONG-SHI ZONG ◽  
JIA-LUN PING ◽  
WEI-MIN SUN ◽  
FAN WANG ◽  
CHAO-HSI CHANG
Keyword(s):  
Chemical Potential ◽  
Interaction Model ◽  
Quark Propagator ◽  
Quark Condensate ◽  
Potential Dependence ◽  
Quark Interaction ◽  
Bag Constant

A method for obtaining the low chemical potential dependence of the dressed quark propagator from an effective quark–quark interaction model is developed. From this the chemical potential dependence of the "effective" two quark condensate and the bag constant is evaluated. A comparison with previous results is given.

Chemical Potential Dependence of the Dressed-Quark Propagator from an Effective Quark-Quark Interaction

2002 ◽  
Vol 38 (6) ◽  
pp. 709-714
Author(s):  
Zong Hong-Shi ◽  
Ping Jia-Lun ◽  
Sun Wei-Min ◽  
Chang Chao-Hsi ◽  
Wang Fan
Keyword(s):  
Chemical Potential ◽  
Quark Propagator ◽  
Potential Dependence ◽  
Quark Interaction

Chemical Potential Dependence of Dressed-Quark Propagator

2004 ◽  
Vol 42 (4) ◽  
pp. 581-586 ◽  
Author(s):  
Zong Hong-Shi ◽  
Hou Feng-Yao ◽  
Sun Wei-Min ◽  
Wu Xiao-Hua
Keyword(s):  
Chemical Potential ◽  
Quark Propagator ◽  
Potential Dependence

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.

Thermodynamic properties of light mesons and phase transition in an extended SU(2) NJL model

2019 ◽  
Vol 34 (13) ◽  
pp. 1950070
Author(s):  
J. R. Morones Ibarra ◽  
A. J. Garza Aguirre ◽  
Francisco V. Flores-Baez
Keyword(s):  
Chemical Potential ◽  
Pion Mass ◽  
Quark Condensate ◽  
The Other ◽  
Chiral Symmetry Restoration ◽  
Chiral Phase ◽  
Potential Dependence ◽  
Njl Model ◽  
The Masses ◽  
Sigma Meson

In this work, we study the temperature and chemical potential dependence of the masses of sigma and pion mesons as well as the quark condensate by using a SU(2) flavor version of the Nambu–Jona–Lassino model, introducing a prescription that mimics confinement. We have found that as the temperature increases, the mass of sigma shifts down, while the pion mass remains almost constant. On the other hand, the quark condensate decreases as the temperature and chemical potential increases. We have also analyzed the temperature and chemical potential dependence of the spectral function of the sigma meson, from which we observe at low values of T and [Formula: see text] an absence of a peak. Furthermore, as the Mott temperature is reached, its value increases abruptly and a distinct peak emerges, which is related with the dissociation of the sigma. For the case of [Formula: see text], the Mott dissociation is exhibited about the temperature of 189 MeV. We have also obtained the chiral phase diagram and the meson dissociation for different values of [Formula: see text]. From these results, we can state a relation between chiral symmetry restoration and Mott dissociation.

scholarly journals GENERAL FORMULA FOR THE FOUR-QUARK CONDENSATE AND VACUUM FACTORIZATION ASSUMPTION

2008 ◽  
Vol 23 (10) ◽  
pp. 1507-1520 ◽  
Author(s):  
HONG-SHI ZONG ◽  
DENG-KE HE ◽  
FENG-YAO HOU ◽  
WEI-MIN SUN
Keyword(s):  
General Formula ◽  
Linear Response ◽  
Chemical Potential ◽  
Background Field ◽  
Quark Propagator ◽  
Quark Condensate ◽  
Sum Rule ◽  
Factorization Problem ◽  
Field Approach ◽  
General Method

By differentiating the dressed quark propagator with respect to a variable background field, the linear response of the dressed quark propagator in the presence of the background field can be obtained. From this general method, using the vector background field as an illustration, we derive a general formula for the four-quark condensate [Formula: see text]. This formula contains the corresponding fully dressed vector vertex and it is shown that factorization for [Formula: see text] holds only when the dressed vertex is taken to be the bare one. This property also holds for all other types of four-quark condensate. By comparing this formula with the general expression for the corresponding vacuum susceptibility, it is found that there exists some intrinsic relation between these two quantities, which are usually treated as independent phenomenological inputs in the QCD sum rule external field approach. The above results are also generalized to the case of finite chemical potential and the factorization problem of the four-quark condensate at finite chemical potential is discussed.

Chemical Potential Dependence of Vertices

2008 ◽  
Vol 50 (5) ◽  
pp. 1193-1196
Author(s):  
Jiang Yu ◽  
Zhang Yan-Bin ◽  
Sun Wei-Min ◽  
Zong Hong-Shi
Keyword(s):  
Chemical Potential ◽  
Potential Dependence
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