Multisymplectic formulation of Yang--Mills equations and Ehresmann connections
Mathematical Physics
2014-06-17 v1 Differential Geometry
math.MP
Abstract
We present a multisymplectic formulation of the Yang--Mills equations. The connections are represented by normalized equivariant 1-forms on the total space of a principal bundle, with values in a Lie algebra. Within the multisymplectic framework we realize that, under reasonable hypotheses, it is not necessary to assume the equivariance condition a priori, since this condition is a consequence of the dynamical equations.
Keywords
Cite
@article{arxiv.1406.3641,
title = {Multisymplectic formulation of Yang--Mills equations and Ehresmann connections},
author = {Frédéric Hélein},
journal= {arXiv preprint arXiv:1406.3641},
year = {2014}
}
Comments
30 pages