Gauge invariance, charge conservation, and variational principles (Q938666)

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scientific article; zbMATH DE number 5316860
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Gauge invariance, charge conservation, and variational principles
scientific article; zbMATH DE number 5316860

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    Gauge invariance, charge conservation, and variational principles (English)
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    27 August 2008
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    The authors present new results regarding correspondence between symmetries, conservation laws and variational principles for the field equations in general non-abelian gauge theories. The main result of the paper states that second order field equations which possess translational and gauge symmetries and the corresponding conservation laws are always derivable from a variational principle. By means of examples, it is shown that this fails, in general, for third order field equations.
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    gauge invariance
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    conservation laws
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    variational principles
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    symmetries
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