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2000

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/24571

Gauge transformations in Einstein-Yang-Mills theories

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http://dx.doi.org/10.1063/1.526864

Abstract

We discuss the relation between spacetime diffeomorphisms and gauge transformations in theories of the YangMills type coupled with Einsteins general relativity. We show that local symmetries of the Hamiltonian and Lagrangian formalisms of these generally covariant gauge systems are equivalent when gauge transformations are required to induce transformations which are projectable under the Legendre map. Although pure YangMills gauge transformations are projectable by themselves, diffeomorphisms are not. Instead, the projectable symmetry group arises from infinitesimal diffeomorphism-inducing transformations which must depend on the lapse function and shift vector of the spacetime metric plus associated gauge transformations. Our results are generalizations of earlier results by ourselves and by Salisbury and Sundermeyer. 2000 American Institute of Physics.

Subject

Relativitat general (Física), Física matemàtica, Camps de galga (Física)

Subject (English)

General relativity (Physics), Mathematical physics, Gauge fields (Physics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

PONS RÀFOLS, Josep Maria, SALISBURY, D. C. and SHEPLEY, L. C. Gauge transformations in Einstein-Yang-Mills theories. Journal of Mathematical Physics. 2000. Vol. 41, num. 5557. ISSN 0022-2488. [consulted: 8 of August of 2026]. Available at: https://hdl.handle.net/2445/24571

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