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Covariantizing Classical Field Theories

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Castrillón López, Marco and Gotay, Mark J. (2011) Covariantizing Classical Field Theories. The Journal of Geometric Mechanics, 3 (4). pp. 487-506. ISSN 1941-4889

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Official URL: http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=7063


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Abstract

We show how to enlarge the covariance groups of a wide variety of classical field theories in such a way that the resulting “covariantized” theories are éssentially equivalent to the originals. In particular, our technique will render many classical field theories generally covariant, that is, the covariantized theories will be spacetime diffeomorphism-covariant and free of absolute objects. Our results thus generalize the well-known parametrization technique of Dirac and Kuchar. Our constructions apply equally well to internal covariance groups, in which context they produce natural derivations
of both the Utiyama minimal coupling and Stückelberg tricks.


Item Type:Article
Uncontrolled Keywords:general covariance; classical field theory; parametrization
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:21374
Deposited On:14 May 2013 15:16
Last Modified:10 Aug 2018 07:56

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