TY - JOUR
T1 - Heavy quark potential at finite imaginary chemical Potential
AU - Takahashi, Junichi
AU - Sasaki, Takahiro
AU - Yahiro, Masanobu
AU - Nagata, Keitaro
AU - Saito, Takuya
AU - Kouno, Hiroaki
AU - Nakamura, Atsushi
N1 - Funding Information:
Junichi Takahashi is supported by JSPS KAKENHI (No. 25-3944), Takahiro Sasaki by JSPS KAKENHI (No. 23-2790), Atsushi Nakamura by JSPS KAKENHI (Nos. 23654092, 24340054) and Takuya Saito by JSPS KAKENHI (No. 23740194). Keitaro Nagata is supported in part by Strategic Programs for Innovative Research (SPIRE) Field 5. The numerical calculations were performed on NEC SX-9 and SX-8R at CMC, Osaka University.
PY - 2013
Y1 - 2013
N2 - We investigate chemical-potential (μ) dependence of 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 the Polyakov-loop correlator in the deconfinement phase and the imaginary μ = iμI region and extrapolated to the real μ region with analytic continuation. As the analytic continuation, the potential calculated at imaginary μ = iμI is expanded into a Taylor-expansion series of iμI=T up to 4th order and the pure imaginary variable imI=T is replaced by the real one μR=T. At real μ, the 4th-order term weakens μdependence 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. This talk is based on [1].
AB - We investigate chemical-potential (μ) dependence of 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 the Polyakov-loop correlator in the deconfinement phase and the imaginary μ = iμI region and extrapolated to the real μ region with analytic continuation. As the analytic continuation, the potential calculated at imaginary μ = iμI is expanded into a Taylor-expansion series of iμI=T up to 4th order and the pure imaginary variable imI=T is replaced by the real one μR=T. At real μ, the 4th-order term weakens μdependence 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. This talk is based on [1].
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M3 - Conference article
AN - SCOPUS:84976285794
SN - 1824-8039
VL - 29-July-2013
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 166
T2 - 31st International Symposium on Lattice Field Theory, LATTICE 2013
Y2 - 29 July 2013 through 3 August 2013
ER -