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- Title
Variational tricomplex of a local gauge system, Lagrange structure and weak Poisson bracket.
- Authors
Sharapov, A. A.
- Abstract
We introduce the concept of a variational tricomplex, which is applicable both to variational and nonvariational gauge systems. Assigning this tricomplex with an appropriate symplectic structure and a Cauchy foliation, we establish a general correspondence between the Lagrangian and Hamiltonian pictures of one and the same (not necessarily variational) dynamics. In practical terms, this correspondence allows one to construct the generating functional of a weak Poisson structure starting from that of a Lagrange structure. As a byproduct, a covariant procedure is proposed for deriving the classical BRST charge of the BFV formalism by a given BV master action. The general approach is illustrated by the examples of Maxwell's electrodynamics and chiral bosons in two dimensions.
- Subjects
GAUGE field theory; HEAVY particles (Nuclear physics); POISSON brackets; LAGRANGE spaces; CAUCHY problem; FOLIATIONS (Mathematics)
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2015, Vol 30, Issue 25, p-1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X15501523