Speaker
Description
We investigate the properties of the confining flux tube within the reconfined phase of trace-deformed $\mathrm{SU}(2)$ Yang-Mills theory in $(2+1)$ dimensions. Using lattice simulations performed above the standard deconfinement temperature, we analyze Polyakov-loop correlators to determine the ground-state energy of the effective string. Our numerical results indicate that the conventional Nambu-Goto effective string description, even when accounting for standard higher-order corrections, fails to model the data as the trace-deformation parameter is increased. Conversely, deep within the reconfined regime, the effective string behavior is accurately captured by the Polchinski-Yang rigid-string solution, which features an effective string dominated by an extrinsic-curvature term. Additionally, we investigate the phase diagram and find evidence that the reconfinement line transitions from continuous to first-order with increasing deformation. Our results suggest that confinement in the reconfined phase is governed by a qualitatively different effective-string regime than standard confinement.