Heavy quark potential at finite imaginary chemical potential

2013/10/30 by Junichi Takahashi, Takahiro Sasaki, Takahashi, Junichi +11
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat

paper · pdf · doi:10.48550/arxiv.1310.8006

7 pages, 8 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany

arxiv created 2014/03/24 · arxiv updated 2014/03/25

Abstract

We investigate chemical-potential (μ) dependence of the static-quark free energies in both the real and imaginary μ regions, using the clover-improved two-flavor Wilson fermion action and the renormalization-group improved Iwasaki gauge action. Static-quark potentials are evaluated from Polyakov-loop correlators in the deconfinement phase and the imaginary μ=iμ_{\rm I} region and extrapolated to the real μ region with analytic continuation. As the analytic continuation, the potential calculated at imaginary μ=iμ_{\rm I} is expanded into a Taylor-expansion series of iμ_{\rm I}/T up to 4th order and the pure imaginary variable iμ_{\rm I}/T is replaced by the real one μ_{\rm R}/T. At real μ, the 4th-order term weakens μ dependence of the potential sizably. Also, the color-Debye screening mass is extracted from the color-singlet potential at imaginary μ, and the mass is extrapolated to real μ by analytic continuation. The screening mass thus obtained has stronger μ dependence than the prediction of the leading-order thermal perturbation theory at both real and imaginary μ.

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