Meson screening mass at finite chemical potential

TL;DR

This paper investigates how the screening mass of pseudoscalar mesons varies with chemical potential at finite temperature using Taylor expansion methods on lattice QCD, providing insights into the QCD phase diagram.

Contribution

It introduces a Taylor expansion approach to calculate the second derivative of screening masses at finite chemical potential on lattice QCD.

Findings

Calculated the second derivative of the pseudoscalar meson screening mass w.r.t. chemical potential.

Performed lattice simulations on $64^3 imes 8$ lattices with (2+1) HISQ/tree action.

Provided data relevant to understanding the QCD phase diagram at finite density.

Abstract

Knowledge of the screening masses at finite chemical potential can provide insight into the nature of the QCD phase diagram. However, lattice studies at finite chemical potential suffer from the well-known issue of the sign problem, which has made the calculation of observables such as screening correlators and screening masses at finite chemical potential quite challenging. One way to proceed is by expanding the observable in a Taylor series in the chemical potential and hence calculating the finite-density corrections to the observable. In this talk, we will use this approach to calculate the screening mass of the pseudoscalar meson at finite temperatures and chemical potential by expanding the screening correlator in a Taylor series in the chemical potential. We will present our results for the second derivative of the screening mass w.r.t. the chemical potential. Our calculation was done on $64^3 \times 8$ lattices generated using the (2+1) HISQ/tree action.