Abstract
The problem of Wu-Yang ambiguities in three dimensions is related to the problem of the existence of torsion-free driebeins for an arbitrary potential. The ambiguity is only at the level of boundary conditions. We also find that in three dimensions any smooth Yang-Mills field tensor can be uniquely written as the non-Abelian magnetic field of a smooth Yang-Mills potential.
- Received 14 July 2000
DOI:https://doi.org/10.1103/PhysRevD.63.067701
©2001 American Physical Society