Poisson brackets with divergence terms in field theories: two examples
| dc.creator | Dickey, L. A. | |
| dc.date | 1997-03-01 | |
| dc.date.accessioned | 2026-07-07T09:17:57Z | |
| dc.date.available | 2026-07-07T09:17:57Z | |
| dc.description | In field theories one often works with the functionals which are integrals of some densities. These densities are defined up to divergence terms (boundary terms). A Poisson bracket of two functionals is also a functional, i.e., an integral of a density. Suppose the divergence term in the density of the Poisson bracket be fixed so that it becomes a bilinear form of densities of two functionals. Then the left-hand side of the Jacobi identity written in terms of densities is not necessarily zero but a divergence of a trilinear form. The question is: what can be said about this trilinear form, what kind of a higher Jacobi identity (involving four fields) it enjoys? Two examples whose origin is the theory of integrable systems are given. | |
| dc.description | 7 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/solv-int/9703001 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9703001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153858 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Poisson brackets with divergence terms in field theories: two examples | |
| dc.type | text |