Quasi-abelian and fully non-abelian gauge field copies: A classification

Publisher Website
Google Scholar
Abstract
We show that a theorem by S. Solomon on quasi-abelian gauge fields extends to a full classification of ambiguous potentials for any general non-abelian field which exhibits this phenomenon. A characterization for such fields is given, as well as a criterion that distinguishes in a straightforward manner between potentials that are at least locally gauge-equivalent to a fixed canonical potential and those which are not equivalent to that potential anywhere inside a neighborhood of space–time. Our results are obtained for R4 with an arbitrary non-degenerate metric, but can be easily extended to any space–time. Three examples (due to S. Deser and F. Wilczek, S. Coleman, and T. T. Wu and C. N. Yang) are discussed in order to clarify our analysis.

This publication has 7 references indexed in Scilit: