Remarks on Gauge Invariance and First-Class Constraints
High Energy Physics - Theory
2010-04-22 v1
Abstract
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.
Cite
@article{arxiv.1004.3769,
title = {Remarks on Gauge Invariance and First-Class Constraints},
author = {Marc Henneaux and Axel Kleinschmidt and Gustavo Lucena Gómez},
journal= {arXiv preprint arXiv:1004.3769},
year = {2010}
}
Comments
17 pages, to appear in the proceedings of the conference Gauge Fields: Yesterday, Today, Tomorrow, dedicated to the 70th anniversary of Professor A. A. Slavnov.