On Nonlinear Gauge Theories
arXiv:0807.3304 · doi:10.1016/j.geomphys.2009.04.013
Abstract
In this note, we study non-linear gauge theories for principal bundles, where the structure group is replaced by a Lie groupoid. We follow the approach of Moerdijk-Mrcun and establish its relation with the existing physics literature. In particular, we derive a new formula for the gauge transformation which closely resembles and generalizes the classical formulas found in Yang Mills gauge theories.
12 pages
References in corpus (6)
- Lie algebroid morphisms, Poisson Sigma Models, and off-shell closed gauge symmetries
- Algebroid Yang-Mills Theories
- Characteristic classes associated to Q-bundles
- Poisson sigma model over group manifolds
- Lie algebroids, Lie groupoids and TFT
- The division map of principal bundles with groupoid structure and generalized gauge transformations