Abelian Gauge Potentials Research Articles

Aspects of duality in chiral field theories

The Abelian and non-Abelian gauge potentials ${A}_{\ensuremath{\mu}\ensuremath{\nu}}$ are known to describe chiral fields. Here we study their interactions with dual extended objects. The region occupied by these objects is shown to behave like a distinct phase of chiral fields which is nondissipative under suitable geometric conditions. A method for the realization of the 't Hooft algebra in these systems is outlined. The concept of electric and magnetic duality in electromagnetism is generalized to chiral fields with values in a symmetric space.

Instability of constant Yang-Mills fields generated by constant gauge potentials

A constant Yang-Mills field can be derived from either a linear Abelian gauge potential or a constant non-Abelian potential. Instabilities are known to occur for the Abelian case. In this comment, similar effects are shown to occur for the non-Abelian case.