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arxiv: 1406.3641 · v1 · pith:WSITMMEHnew · submitted 2014-06-13 · 🧮 math-ph · math.DG· math.MP

Multisymplectic formulation of Yang--Mills equations and Ehresmann connections

classification 🧮 math-ph math.DGmath.MP
keywords equationsmultisymplecticconditionconnectionsformulationyang--millsalgebraassume
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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.

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