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Continuum study of quark-number susceptibility in an effective interaction model

Min He1, Deng-ke He1, Hong-tao Feng1, Wei-min Sun1,2, and Hong-shi Zong1,2,*

  • 1Department of Physics, Nanjing University, Nanjing 210093, People’s Republic of China
  • 2Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, People’s Republic of China

  • *zonghs@chenwang.nju.edu.cn.
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Phys. Rev. D 76, 076005 – Published 18 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.076005

Abstract

In the approximation of neglecting the flavor mixing between u and d quarks in the vector channel, we derive a formula for the quark-number susceptibility based on the external field method. This formula proves to yield exactly the Fermi statistics result of the quark-number susceptibility in the noninteracting situation. Then calculation in an effective interaction model via Dyson-Schwinger equations is performed and it is found that at low temperatures it is zero and it rises sharply to nonzero values across the phase transition point, which is consistent with previous lattice QCD results. The interpretation of this behavior of the quark-number susceptibility as a signal of chiral symmetry restoration and deconfinement is discussed.

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Phys. Rev. D 76, 076005– Published 18 October, 2007
  • Received 28 May 2007

© 2007 American Physical Society

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