Spectrum of Trace Deformed Yang-Mills Theories

In this paper we study, by means of numerical simulations, the behaviour of the scalar glueball mass and the ground state of the torelon for the SU(3) trace deformed Yang-Mills theory defined on R3×S1, in which center symmetry is recovered even at small compactification radii. We find that the glueball mass computed in the deformed theory, when center symmetry is recovered, is compatible with its value at zero temperature and does not show any significant dependence on the compactification radius. In addition, we observe that the ground state of the torelon which winds around the small traced deformed circle with size l acquires a pleateau for large values of the strength h, with values showing a well defined dependence on l, in particular compatible with a 1/l behavior and close to the mass of the lightest W bosons, mW= 2π/(N l), as predicted by Ünsal and Yaffe in [arXiv:0803.0344].