Hamiltonian formalism with several variables and quantum field theory, PartI
| dc.creator | Helein, Frederic | |
| dc.creator | Kouneiher, Joseph | |
| dc.date | 2000-04-17 | |
| dc.date | 2000-04-24 | |
| dc.date.accessioned | 2026-07-07T04:27:47Z | |
| dc.date.available | 2026-07-07T04:27:47Z | |
| dc.description | We discuss in this paper the canonical structure of classical field theory in finite dimensions within the {\it{pataplectic}} hamiltonian formulation, where we put forward the role of Legendre correspondance. We define the Poisson $\mathfrak{p}$-brackets and $\mathfrakω$-brackets which are the analogues of the Poisson bracket on forms. We formulate the equations of motion of forms in terms of $\mathfrak{p}$-brackets and $\mathfrakω$-brackets with the $n$-form ${\cal H}ω$. As illustration of our formalism we present two examples: the interacting scalar fields and conformal string theory. | |
| dc.description | minor modifications in the introduction and ref. added. (42 pages) | |
| dc.identifier | https://arxiv.org/abs/math-ph/0004020 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0004020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56543 | |
| dc.subject | Mathematical Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Dynamical Systems | |
| dc.title | Hamiltonian formalism with several variables and quantum field theory, PartI | |
| dc.type | text |