# Density of States FFA analysis of SU(3) lattice gauge theory at a finite density of color sources

## TL;DR

This paper applies the Density of States Functional Fit Approach to SU(3) lattice gauge theory at finite density, providing insights into the phase diagram and estimating the curvature parameter near known QCD results.

## Contribution

It introduces and implements the DoS FFA method for SU(3) lattice gauge theory with static color sources, advancing towards full QCD applications.

## Key findings

- Determined the curvature $$ in the phase diagram close to full QCD results.
- Demonstrated the feasibility of DoS FFA in a finite density SU(3) model.
- Provided a qualitative phase diagram for the model.

## Abstract

We present a Density of States calculation with the Functional Fit Approach (DoS FFA) in SU(3) lattice gauge theory with a finite density of static color sources. The DoS FFA uses a parameterized density of states and determines the parameters of the density by fitting data from restricted Monte Carlo simulations with an analytically known function. We discuss the implementation of DoS FFA and the results for a qualitative picture of the phase diagram in a model which is a further step towards implementing DoS FFA in full QCD. We determine the curvature $\kappa$ in the $\mu$-$T$ phase diagram and find a value close to the results published for full QCD.