Covariant Poisson Brackets in Geometric Field Theory
Mathematical Physics
2012-02-24 v1 math.MP
Abstract
We establish a link between the multisymplectic and the covariant phase space approach to geometric field theory by showing how to derive the symplectic form on the latter, as introduced by Crnkovic-Witten and Zuckerman, from the multisymplectic form. The main result is that the Poisson bracket associated with this symplectic structure, according to the standard rules, is precisely the covariant bracket due to Peierls and DeWitt.
Cite
@article{arxiv.math-ph/0408008,
title = {Covariant Poisson Brackets in Geometric Field Theory},
author = {Michael Forger and Sandro V. Romero},
journal= {arXiv preprint arXiv:math-ph/0408008},
year = {2012}
}
Comments
42 pages