Covariant Hamiltonian field theory
High Energy Physics - Theory
2009-10-31 v1 Mathematical Physics
math.MP
Abstract
We study the relationship between the equations of first order Lagrangian field theory on fiber bundles and the covariant Hamilton equations on the finite-dimensional polysymplectic phase space of covariant Hamiltonian field theory. The main peculiarity of these Hamilton equations lies in the fact that, for degenerate systems, they contain additional gauge fixing conditions. We develop the BRST extension of the covariant Hamiltonian formalism, characterized by a Lie superalgebra of BRST and anti-BRST symmetries.
Cite
@article{arxiv.hep-th/9904062,
title = {Covariant Hamiltonian field theory},
author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
journal= {arXiv preprint arXiv:hep-th/9904062},
year = {2009}
}
Comments
35 pages, Latex