The Y-stringlike behavior of a static hadron at finite T

TL;DR

This study investigates the Y-shaped flux tube configurations in a three-quark system at finite temperature, revealing their structure and behavior consistent with Y-string models in lattice gauge theory.

Contribution

It provides the first lattice evidence of Y-shaped flux tubes in a three-quark system at finite temperature, supporting the Y-string model of baryonic confinement.

Findings

Y-shaped flux tubes are observed in the gluonic profile.

Flux tube length increases with quark separation and approaches maximum near deconfinement.

Gluonic action density growth matches Y-string model predictions at large quark separations.

Abstract

We look into the signatures of the effective Y-bosonic strings in the gluonic profile due to a system of three static quarks on the lattice. The gluonic distribution is calculated in pure Yang-Mills lattice gauge theory at finite temperature with Polyakov loops operators. The analysis of the action density unveils a filled-$\Delta$ distribution. However, we found that these $\Delta$-shaped action density profiles are structured from three Y-shaped Gaussian-like flux-tubes. The length of the revealed Y-flux system increases with the increasing of the color source separation and reaches maximum near the deconfinement point. The lattice data for the mean-square width of the gluonic action density have been compared to the corresponding width calculated based on the string model at finite temperature. We assume Y-string configuration with minimal length. The growth pattern of the action density of the gluonic field fits well to junction fluctuations of the Y-baryonic string model for large quark separation at the considered temperatures.