On nonlinear gauge theories

Daniele Signori; Mathieu Stiénon

doi:10.1016/j.geomphys.2009.04.013

On nonlinear gauge theories

Daniele Signori, Mathieu Stiénon

Mathematics

Research output: Contribution to journal › Article › peer-review

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)
Pages (from-to)	1063-1072
Number of pages	10
Journal	Journal of Geometry and Physics
Volume	59
Issue number	7
DOIs	https://doi.org/10.1016/j.geomphys.2009.04.013
State	Published - Jul 2009

All Science Journal Classification (ASJC) codes

Mathematical Physics
Physics and Astronomy(all)
Geometry and Topology

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10.1016/j.geomphys.2009.04.013

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title = "On nonlinear gauge theories",

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-Mr{\v c}un 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.",

author = "Daniele Signori and Mathieu Sti{\'e}non",

year = "2009",

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AU - Stiénon, Mathieu

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AB - 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.

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On nonlinear gauge theories

Abstract

All Science Journal Classification (ASJC) codes

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