Comment on ``Singularities in axially symmetric solutions of Einstein-Yang Mills and related theories, by Ludger Hannibal, [hep-th/9903063]''

TL;DR

This paper critiques previous claims about the regularity of certain axially symmetric solutions in Einstein-Yang-Mills theories, clarifying that the solutions are indeed non-singular and differentiable.

Contribution

It corrects prior assertions by demonstrating the non-singular nature and differentiability of specific Yang-Mills-dilaton solutions.

Findings

Previous claims of singularities are incorrect.

YMD solutions are twice differentiable.

Non-singular local gauge potentials are confirmed.

Abstract

We point out that the statements in [hep-th/9903063] concerning the regularity of static axially symmetric solutions in Yang-Mills-dilaton (YMD) [1] and Einstein-Yang-Mills(-dilaton) (EYMD) theory [2,3] are incorrect, and that the non-singular local gauge potential of the YMD solutions [4] is twice differentiable.