# Confining potential of Y-string on the lattice at finite T

## TL;DR

This study investigates the three-quark potential in lattice QCD at finite temperature, confirming the Y-string model's effectiveness and highlighting the importance of quantum fluctuation effects for confinement.

## Contribution

It demonstrates that the Y-string model accurately describes the three-quark potential at finite temperature, including quantum fluctuation effects via a logarithmic term.

## Key findings

- Y-string model fits lattice data well at large distances
- Quantum fluctuations are essential for matching string tension
- Subleading logarithmic term improves potential description

## Abstract

The potential due to a system of three static quark (3Q) is studied using SU(3) lattice QCD at finite temperature with Polyakov loops operators. We focused our analysis on the large distance properties of the 3Q potential and found a good fit behavior to the Y-string model formula. In addition to the linearly confining term proportional to the minimal length of the Y-string, we observed that the subleading logarithmic term, which is proportional to Dedekind eta function and accounts for the Y-string's quantum fluctuations, is necessary to reproduce the quark anti-quark string tension of the corresponding mesonic system at finite temperature.