The equations of motion of a moving screw dislocation, within the framework of the translation gauge theory of dislocations, were presented. In the gauge field formulation, a dislocation was a massive gauge field. The gauge field solutions for a uniformly moving screw dislocation were calculated, and subsonic and supersonic solutions were given. That is, supersonic dislocations were not forbidden, from the field-theoretical point of view. It was shown that the elastic divergences at the dislocation core were removed. The Mach cones produced by supersonic screw dislocations were also discussed.

The Gauge Theory of Dislocations - a Uniformly Moving Screw Dislocation. M.Lazar: Proceedings of the Royal Society A, 2009, 465[2108], 2505-20