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-Mrčun 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.
Original language | English (US) |
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Pages (from-to) | 1063-1072 |
Number of pages | 10 |
Journal | Journal of Geometry and Physics |
Volume | 59 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2009 |
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology