Linear broadening of the confining string in Yang-Mills theory at low temperature

摘要

The logarithmic broadening predicted by the systematic low-energy effectivefield theory for the confining string has recently been verified in numericalsimulations of (2+1)-d SU(2) lattice Yang-Mills theory at zero temperature. Thesame effective theory predicts linear broadening of the string at low non-zerotemperature. In this paper, we verify this prediction by comparison with veryprecise Monte Carlo data. The comparison involves no additional adjustableparameters, because the low-energy constants of the effective theory havealready been fixed at zero temperature. It yields very good agreement betweenthe underlying Yang-Mills theory and the effective string theory.