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

The potential due to a system of three static quark (3 Q ) 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 3 Q 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 η function and accounts for the Y-string’s quantum fluctuations, is necessary to reproduce the quark anti-quark QQ string tension of the corresponding mesonic system at finite temperature.