Covariant Hamiltonian field theory

Details Covariant Hamiltonian field theory Covariant Hamiltonian field theory

1999-04-08

arxiv.org/abs/hep-th/9904062v1

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, Latex

Scientific paper

10.1088/0305-4470/32/38/302

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.

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