# Finite-density gauge correlation functions in QC2D

## TL;DR

This paper computes gauge correlation functions in 2-color QCD across various densities and temperatures, providing benchmarks for other methods and revealing minimal modifications in the gauge sector at low temperatures and densities.

## Contribution

It presents the first comprehensive determination of Landau-gauge propagators and vertices in 2-color QCD at finite density and temperature, serving as benchmarks for future studies.

## Key findings

- Gauge sector remains largely unchanged at low temperature and density.
- Only mild modifications occur outside the low-temperature, low-density phase.
- Chromoelectric sector shows the most noticeable changes.

## Abstract

2-color QCD is the simplest QCD-like theory which is accessible to lattice simulations at finite density. It therefore plays an important role to test qualitative features and to provide benchmarks to other methods and models, which do not suffer from a sign problem. To this end, we determine the minimal-Landau-gauge propagators and 3-point vertices in this theory over a wide range of densities, the vacuum, and at both finite temperature and density. The results show that there is essentially no modification of the gauge sector in the low-temperature, low-density phase. Even outside this phase only mild modifications appear, mostly in the chromoelectric sector.