Investigation of meson masses for real and imaginary chemical potential

Details Investigation of meson masses for real and imaginary chemical potential Investigation of meson masses for real and imaginary chemical potential

2010-04-05

arxiv.org/abs/1004.0592v1

Phys.Lett.B694:367-373,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 12 figures

Scientific paper

10.1016/j.physletb.2010.09.070

We investigate chemical-potential ($\mu$) and temperature ($T$) dependence of scalar and pseudo-scalar meson masses for both real and imaginary $\mu$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model with three-flavor quarks. A three-flavor phase diagram is drawn in $\mu^2$-$T$ plane where positive (negative) $\mu^2$ corresponds to positive (imaginary) $\mu$. A critical surface is plotted as a function of light- and strange-quark current mass and $\mu^2$. We show that $\mu$-dependence of the six-quark Kobayashi-Maskawa-'t Hooft (KMT) determinant interaction originated in $U_\mathrm{A}(1)$ anomaly can be determined from lattice QCD data on $\eta'$ meson mass around $\mu =0$ and $\mu = i \pi T/3$ with $T$ slightly above the critical temperature at $\mu=0$ where the chiral symmetry is restored at $\mu=0$ but broken at $\mu =i \pi T/3$, if it is measured in future.

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