The gauge theory of dislocations: a uniformly moving screw dislocation

TL;DR

This paper develops a gauge theory framework for modeling moving screw dislocations, providing solutions for subsonic and supersonic cases, and demonstrating the removal of core divergences and the formation of Mach cones.

Contribution

It introduces a gauge field theoretical formulation for moving screw dislocations, including solutions for supersonic dislocation motion, which was not previously addressed.

Findings

Supersonic dislocation solutions are possible within the gauge theory framework.

Core elastic divergences are eliminated in the gauge theory model.

Mach cones are analyzed for supersonic dislocations.

Abstract

In this paper we present the equations of motion of a moving screw dislocation in the framework of the translation gauge theory of dislocations. In the gauge field theoretical formulation, a dislocation is a massive gauge field. We calculate the gauge field theoretical solutions of a uniformly moving screw dislocation. We give the subsonic and supersonic solutions. Thus, supersonic dislocations are not forbidden from the field theoretical point of view. We show that the elastic divergences at the dislocation core are removed. We also discuss the Mach cones produced by supersonic screw dislocations.