On nonlinear gauge theories

JOURNAL OF GEOMETRY AND PHYSICS

卷:59

Article

Signori, Daniele¹  Stienon, Mathieu¹ 

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

关键词: Lie groupoids;    Lie algebroids;    Principal groupoid bundles;    Poisson Sigma Model;    Nonlinear gauge theories;   

DOI  :  10.1016/j.geomphys.2009.04.013

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free