English

Poisson bracket in classical field theory as a derived bracket

Mathematical Physics 2015-05-13 v2 math.MP

Abstract

We construct a Leibniz bracket on the space Ω(Jk(π))\Omega^\bullet (J^k (\pi)) of all differential forms over the finite-dimensional jet bundle Jk(π)J^k (\pi). As an example, we write Maxwell equations with sources in the covariant finite-dimensional hamiltonian form.

Cite

@article{arxiv.0801.3023,
  title  = {Poisson bracket in classical field theory as a derived bracket},
  author = {S. A. Pol'shin},
  journal= {arXiv preprint arXiv:0801.3023},
  year   = {2015}
}

Comments

4 pages

R2 v1 2026-06-21T10:04:32.994Z