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Title: Cho decomposition of electrically charged one-half monopole

Recently we have carried out some work on the Cho decomposition of the electrically neutral, finite energy one-half monopole solution of the SU(2) Yang-Mills-Higgs field theory. In this paper, we performed the decomposition of the electrically charged solution using the same numerical procedure. The gauge potential of the one-half dyon solution is decomposed into Abelian and non-Abelian components. The semi-infinite string singularity in the gauge potential is a contribution of the Higgs field and hence topological in nature. The string singularity cannot be cancelled by the non-Abelian components of the gauge potential. However, the string singularity is integrable and the energy of the solution is finite. By decomposing the magnetic fields and covariant derivatives of the Higgs field into three isospin space directions, we are able to provide conclusive evidence that the constructed one-half dyon is certainly a non-BPS solution even in the limit of vanishing Higgs self-coupling constant and electric charge. Furthermore, we found that the time component of gauge function is parallel to the Higgs field in isospace only at large distances, elsewhere they are non-parallel.
Authors:
; ;  [1]
  1. School of Physics, Universiti Sains Malaysia, 11800 USM Penang (Malaysia)
Publication Date:
OSTI Identifier:
22266010
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1588; Journal Issue: 1; Conference: 4. international meeting on frontiers in physics, Kuala Lumpur (Malaysia), 27-30 Aug 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLING CONSTANTS; DECOMPOSITION; ELECTRIC CHARGES; FUNCTIONS; HIGGS BOSONS; HIGGS MODEL; ISOSPIN; MAGNETIC FIELDS; SINGULARITY; YANG-MILLS THEORY