Remarks on Gauge Invariance and First-Class Constraints

Details Remarks on Gauge Invariance and First-Class Constraints Remarks on Gauge Invariance and First-Class Constraints

2010-04-21

arxiv.org/abs/1004.3769v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, to appear in the proceedings of the conference Gauge Fields: Yesterday, Today, Tomorrow, dedicated to the 70th anniv

Scientific paper

Gauge symmetries lead to first-class constraints. This assertion is of course true only for non trivial gauge symmetries, i.e., gauge symmetries that act non trivially on-shell on the dynamical variables. We illustrate this well-appreciated fact for time reparametrization invariance in the context of modifications of gravity -suggested in a recent proposal by Horava-in which the Hamiltonian constraint is deformed by arbitrary spatial diffeomorphism invariant terms, where some subtleties are found to arise.

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