Equation of Motion of a Stringlike Dislocation

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Abstract
A differential equation is proposed to describe the evolution of a screw dislocation in a continuous medium under an externally applied displacement field. The derivation is based on the conservation of energy and momentum and the neglect of radiation reaction and renormalizability: The equation of motion must be such that it allows for a renormalization of the infinite self-energy and momentum of the infinitely thin dislocation. The extent to which the result might hold for general dislocation loops is discussed.