Heavy quark potential at finite imaginary chemical Potential

Junichi Takahashi, Takahiro Sasaki, Masanobu Yahiro, Keitaro Nagata, Takuya Saito, Hiroaki Kouno, Atsushi Nakamura

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

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].

Original languageEnglish
Article number166
JournalProceedings of Science
Volume29-July-2013
Publication statusPublished - Jan 1 2013
Event31st International Symposium on Lattice Field Theory, LATTICE 2013 - Mainz, Germany
Duration: Jul 29 2013Aug 3 2013

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quarks
screening
color
series expansion
correlators
perturbation theory
fermions
free energy
predictions

All Science Journal Classification (ASJC) codes

  • General

Cite this

Takahashi, J., Sasaki, T., Yahiro, M., Nagata, K., Saito, T., Kouno, H., & Nakamura, A. (2013). Heavy quark potential at finite imaginary chemical Potential. Proceedings of Science, 29-July-2013, [166].

Heavy quark potential at finite imaginary chemical Potential. / Takahashi, Junichi; Sasaki, Takahiro; Yahiro, Masanobu; Nagata, Keitaro; Saito, Takuya; Kouno, Hiroaki; Nakamura, Atsushi.

In: Proceedings of Science, Vol. 29-July-2013, 166, 01.01.2013.

Research output: Contribution to journalConference article

Takahashi, J, Sasaki, T, Yahiro, M, Nagata, K, Saito, T, Kouno, H & Nakamura, A 2013, 'Heavy quark potential at finite imaginary chemical Potential', Proceedings of Science, vol. 29-July-2013, 166.
Takahashi J, Sasaki T, Yahiro M, Nagata K, Saito T, Kouno H et al. Heavy quark potential at finite imaginary chemical Potential. Proceedings of Science. 2013 Jan 1;29-July-2013. 166.
Takahashi, Junichi ; Sasaki, Takahiro ; Yahiro, Masanobu ; Nagata, Keitaro ; Saito, Takuya ; Kouno, Hiroaki ; Nakamura, Atsushi. / Heavy quark potential at finite imaginary chemical Potential. In: Proceedings of Science. 2013 ; Vol. 29-July-2013.
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AU - Takahashi, Junichi

AU - Sasaki, Takahiro

AU - Yahiro, Masanobu

AU - Nagata, Keitaro

AU - Saito, Takuya

AU - Kouno, Hiroaki

AU - Nakamura, Atsushi

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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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