On the regularity of static axially symmetric solutions in SU(2) Yang-Mills-dilaton theory

Abstract

The regularity of static axially symmetric solutions in SU(2) Yang-Mills-dilaton theory is examined. We show that the solutions obtained previously within a singular Ansatz for the non-abelian gauge field can be gauge transformed into a regular form. The local form of the gauge transformation is given on the singular axis and at the origin.

18 pages, no figures, LaTex format using RevTex, minor typos corrected, final version to appear in Phys. Rev. D

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• A Monopole-Antimonopole Solution of the SU(2) Yang-Mills-Higgs Model
• On rotating regular nonabelian solutions
• Spinning Electroweak Sphalerons
• Static Axially Symmetric Einstein-Yang-Mills-dilaton solutions: Addendum Asymptotic solutions
• Topological geon black holes in Einstein-Yang-Mills theory
• Comments on `Existence of axially symmetric solutions in SU(2)-Yang Mills and related theories [hep-th/9907222]'
• Comment on ``Singularities in axially symmetric solutions of Einstein-Yang Mills and related theories, by Ludger Hannibal, [hep-th/9903063]''