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. © 2008 Elsevier B.V. All rights reserved.

Manno, G., Pohjanpelto, J., & Vitolo, R. (2008). Gauge invariance, charge conservation, and variational principles. JOURNAL OF GEOMETRY AND PHYSICS, 58(8), 996-1006 [10.1016/j.geomphys.2008.03.006].

Gauge invariance, charge conservation, and variational principles

MANNO, GIOVANNI;
2008

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. © 2008 Elsevier B.V. All rights reserved.
Articolo in rivista - Articolo scientifico
gauge theories, symmetries, conservations laws, variational principles
English
Manno, G., Pohjanpelto, J., & Vitolo, R. (2008). Gauge invariance, charge conservation, and variational principles. JOURNAL OF GEOMETRY AND PHYSICS, 58(8), 996-1006 [10.1016/j.geomphys.2008.03.006].
Manno, G; Pohjanpelto, J; Vitolo, R
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/5290
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