Author: L. Vitagliano
The covariant phase space of a lagrangian field theory is the solution space of
the associated Euler-Lagrange equations. It is, in principle, a nice
environment for covariant quantization of a lagrangian field theory. Indeed, it
is manifestly covariant and possesses a canonical (functional)
ω (as first noticed by Zuckerman in 1986) whose degeneracy
(functional) distribution is naturally interpreted as Lie algebra of gauge
transformations. We propose a fully rigorous approach to the covariant phase
space in the framework of secondary calculus. In particular we describe the
degeneracy distribution of ω . As a byproduct we re derive
the existence of a Lie bracket among gauge invariant functions on the covariant
See also arXiv: 0809.4164.
Last revised January 20, 2009. 36 pages, LaTeX-2e.
To compile source files (.tex) one needs the title page style files titlatex.tex.