Meson mass at real and imaginary chemical potentials

Details Meson mass at real and imaginary chemical potentials Meson mass at real and imaginary chemical potentials

2008-12-27

arxiv.org/abs/0812.4747v2

Phys.Rev.D79:076008,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 6 figures, typo corrected, some discussions clarified, version accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.79.076008

The chemical-potential dependence of pi and sigma meson masses is analyzed at both real and imaginary chemical potentials, $\mu_\mathrm{R}$ and $\mu_\mathrm{I}$, by using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model that possesses both the extended ${\mathbb Z}_3$ symmetry and the chiral symmetry. In the $\mu_\mathrm{I}$ region, the meson masses have the Roberge-Weiss periodicity. Assuming that the meson masses will be measured at finite $\mu_\mathrm{I}$ by lattice QCD in future, we simulate how meson masses at finite $\mu_\mathrm{R}$ are extracted from those at finite $\mu_\mathrm{I}$, and propose a reliable extraction method.

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