New Method for Numerically Solving the Chemical Potential Dependence of the Dressed Quark Propagator

Abstract

Based on the rainbow approximation of Dyson-Schwinger equation and the assumption that the inverse dressed quark propagator at finite chemical potential is analytic in the neighborhood of $\mu =0$, a new method for obtaining the dressed quark propagator at finite chemical potential $\mu$ from the one at zero chemical potential is developed. Using this method the dressed quark propagator at finite chemical potential can be obtained directly from the one at zero chemical potential without the necessity of numerically solving the corresponding coupled integral equations by iteration methods. A comparison with previous results is given.

arXiv commentRevtex, 14 pages, 5 figures

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Cited by in corpus (9)

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• Nonlinear susceptibilities under the framework of Dyson-Schwinger equations
• The thermal evolution of nuclear matter at zero temperature and definite baryon number density in chiral perturbation theory
• Comment to: "A note on failure of the ladder approximation to QCD" [Phys. Lett. B 640 (2006) 196 ]
• Calculation of bulk viscosity of QCD at zero temperature and finite chemical potential
• Effect of gauge boson mass on the phase structure of QED${}_3$
• Characterising New Physics Models by Effective Dimensionality of Parameter Space
• Dyson-Schwinger Equations with a Parameterized Metric
• On the Consistency of the Ladder Approximation and the Rainbow Approximation of Dyson-Schwinger Equation of QCD