Comment on " Infrared and pinching singularities in out of equilibrium QCD plasmas''

Analyzing the dilepton production from out of equilibrium quark-gluon plasma, Le Bellac and Mabilat have recently pointed out that, in the reaction rate, the cancellation of mass (collinear) singularities takes place only in physical gauges, and not in covariant gauges. They then have estimated the contribution involving pinching singularities. After giving a general argument for the gauge independence of the production rate, we explicitly confirm the gauge independence of the mass-singular part. The contribution involving pinching singularities develops mass singularities, which is also gauge dependent. This additional'' contribution to the singular part is responsible for the gauge independence of the total’’ singular part. We give a sufficient condition, under which cancellation of mass singularities takes place.