Gluonic fields as unraveled with Polyakov loops and predicted by bosonic strings

Abstract

The gluonic action density has been revealed in baryons and mesons using Polyakov loops as a quark source operator at finite temperature. The action density in the baryon exhibits a filled ∆-shaped profile which persists even at large quark separation. The density distribution is non-uniform with a maximum localized near the Fermat point of the quark configuration. The mesonic action density profile is non-uniform and curved. The width of the flux tube is non-constant along the line joining the quark-antiquark at large distance for the temperature just close to the deconfinement point. The width profile of the action density of both systems is consistent with the predictions of both the mesonic and the Y-shaped baryonic string models predictions.