Pion and $\rho$-meson screening masses at finite chemical potential in two-flavor lattice QCD with Wilson fermion

TL;DR

This study uses two-flavor lattice QCD to analyze how pion and rho-meson screening masses depend on real and imaginary chemical potentials, revealing a monotonic increase at higher chemical potentials.

Contribution

It provides the first lattice QCD analysis of meson screening masses at finite chemical potential, including extrapolation from imaginary to real chemical potential.

Findings

Screening masses increase monotonically with chemical potential.

Analysis covers both confinement and deconfinement regions.

Method involves extrapolation assuming analytic functions.

Abstract

We investigate the real and imaginary chemical-potential dependence of pion and $\rho$-meson screening masses in both the confinement and the deconfinement region by using two-flavor lattice QCD. The spatial meson correlators are calculated in the imaginary chemical potential region with lattice QCD simulations. We extract pion and $\rho$-meson screening masses from the correlators. The obtained meson screening masses are extrapolated to the real chemical potential region by assuming some analytic function. In the real chemical potential region, the resulting pion and $\rho$-meson screening masses monotonically increase as real chemical potential becomes large.