  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.
