We present new results on the correspondence between symmetries, conservation laws and variational principles for field equations in general non-abelian gauge theories. Our main result states that second order field equations possessing translational and gauge symmetries and the corresponding conservation laws are always derivable from a variational principle. We also show by the way of examples that the above result fails in general for third order field equations.

Gauge invariance, charge conservation and variational principles

MANNO, GIOVANNI;VITOLO, Raffaele
2008-01-01

Abstract

We present new results on the correspondence between symmetries, conservation laws and variational principles for field equations in general non-abelian gauge theories. Our main result states that second order field equations possessing translational and gauge symmetries and the corresponding conservation laws are always derivable from a variational principle. We also show by the way of examples that the above result fails in general for third order field equations.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/102598
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