New approach for calculating the dressed quark propagator at finite chemical potential

Zong, Hong-Shi; Chang, Lei; Feng-Yao, Hou; Sun, Weimin; Liu, Yuxin

doi:10.1103/physrevc.71.015205

Cited by 84 publications

(43 citation statements)

References 15 publications

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“…Here we apply the following general result proved in Refs. [17,18]: Under the rainbow approximation of the Dyson-Schwinger equation (DSE), if one ignores the µ dependence of the dressed gluon propagator (this is a commonly used approximation in calculating the dressed quark propagator at finite chemical potential [14,[17][18][19][20][21][22][23]) and assumes that the dressed quark propagator at finite µ is analytic in the neighborhood of µ = 0, then the inverse dressed quark propagator at finite chemical potential can be obtained from the one at zero chemical potential by the following simple substitution [17,18]: …”

Section: ∂P(µ) ∂µmentioning

confidence: 99%

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

Zong

Sun

2008

Phys. Rev. D

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In this paper, we give a direct method for calculating the partition function, and hence the equation of state (EOS) of Quantum Chromodynamics (QCD) at finite chemical potential and zero temperature. In the EOS derived in this paper the pressure density is the sum of two terms: the first term P(µ)| µ=0 (the pressure density at µ = 0) is a µ-independent constant; the second term, which is totally determined by G R [µ](p) (the renormalized dressed quark propagator at finite µ), contains all the nontrivial µ-dependence. By applying a general result in the rainbow-ladder approximation of the Dyson-Schwinger approach obtained in our previous study [Phys. Rev. C 71, (2005)], G R [µ](p) is calculated from the meromorphic quark propagator proposed in [Phys.Rev. D 70, 014014 (2004)]. From this the full analytic expression of the EOS of QCD at finite µ and zero T is obtained (apart from the constant term P(µ)| µ=0 which can in principle be calculated from the CJT effective action). A comparison between our EOS and the cold, perturbative EOS of QCD of Fraga, Pisarski and Schaffner-Bielich is made. It is expected that our EOS can provide a possible new approach for the study of neutron stars.

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Section: ∂P(µ) ∂µmentioning

confidence: 99%

“…Using the general result proved in the framework of the rainbow-ladder approximation of the DS approach in Refs. [17,18], G[µ](p) is obtained from this model quark propagator. From this the quark-number density ρ(µ) is calculated, which is found to differ significantly from the Fermi distribution of free quark theory.…”

Section: Now Let Us Calculatementioning

confidence: 99%

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

Zong

Sun

2008

Phys. Rev. D

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“…In this work we extent the study of pions and sigma mesons to (zero temperature and) finite chemical potential in and beyond the Silver-Blaze region up to the first-order chiral phase transition within the framework of Dyson-Schwinger equations (DSEs). We complement and develop previous work on the topic [19][20][21][22][23] using a well-studied truncation scheme that includes the back-reaction of the quarks onto the gluons. Our aim is to carefully analyze the interplay of changes in the quark propagation as well as in the Bethe-Salpeter wave function of the mesons that need to conspire such that the Silver-Blaze property remains satisfied.…”

Section: Introductionmentioning

confidence: 99%

Quarks and light (pseudo-)scalar mesons at finite chemical potential

2019

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We investigate the properties of light scalar and pseudoscalar mesons at finite (light) quark chemical potential. To this end we solve a coupled set of (truncated) Dyson-Schwinger equations for the quark and gluon propagators in Landau-gauge QCD and extent earlier results for N f = 2 + 1 dynamical quark flavors to finite chemical potential at zero temperature. We then determine the meson bound state masses, wave functions, and decay constants for chemical potentials below the first-order phase transition from their homogeneous Bethe-Salpeter equation. We study the changes in the quark dressing functions and Bethe-Salpeter wave functions with chemical potential. In particular, we trace charge-conjugation parity breaking. Furthermore, we confirm the validity of the Silver-Blaze property: all dependencies of colored quantities on chemical potential cancel out in observables and we observe constant masses and decay constants up to and into the coexistence region of the first-order chiral phase transition.

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“…where N c and N f represent the number of colors and flavors, respectively, and G½μðpÞ is the quark propagator; furthermore, under the rainbow approximation of the Dyson-Schwinger equations, if we ignore the μ dependence of the dressed gluon propagator and assume that the dressed quark propagator at finite μ is analytic in the neighborhood of μ ¼ 0, then we can obtain the following expression [28,29]:…”

Section: Nonlinear Susceptibilities In the Dses Frameworkmentioning

confidence: 99%

Nonlinear susceptibilities under the framework of Dyson-Schwinger equations

et al. 2014

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Since the baryon-number susceptibilities are correlated with the cumulant of baryon-number fluctuations in experiments, we do calculations of the susceptibilities and compare them with the experimental fluctuation data under the framework of the Dyson-Schwinger equations (DSEs) approach. We compare our results with lattice QCD and experimental data at RHIC. The fitness of the results indicates that under the framework of DSEs, we can deal with the problems of heavy ion collisions properly.

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New approach for calculating the dressed quark propagator at finite chemical potential

Cited by 84 publications

References 15 publications

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

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

Quarks and light (pseudo-)scalar mesons at finite chemical potential

Nonlinear susceptibilities under the framework of Dyson-Schwinger equations

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