Mathematics – Differential Geometry
Scientific paper
2008-07-21
J. Geom. Phys. 59 (2009), no. 7, 1063-1072
Mathematics
Differential Geometry
12 pages
Scientific paper
10.1016/j.geomphys.2009.04.013
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.
Signori Daniele
Stienon Mathieu
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