| Texto completo | |
| Autor(es): |
Sharapov, Alexey
;
Shcherbatov, David
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Physics A-Mathematical and Theoretical; v. 57, n. 1, p. 22-pg., 2024-01-05. |
| Resumo | |
We address the problem of the existence of a Lagrangian for a given system of linear partial differential equation with constant coefficients. As a subtask, this involves bringing the system into a pre-Lagrangian form, wherein the number of equations matches the number of unknowns. We introduce a class of overdetermined systems, called co-flat, and show that they always admit a pre-Lagrangian form, which can be explicitly constructed by means of auxiliary variables. Moreover, we argue that such systems enjoy pre-Lagrangian formulations without auxiliary variables at all. As an application of our method, we construct new pre-Lagrangian and Lagrangian formulations for free massive fields of arbitrary integer spin. In contrast to the well-known models of Singh and Hagen, our Lagrangians involve much fewer auxiliary fields. (AU) | |
| Processo FAPESP: | 22/13596-8 - As Álgebras de Homotopía nas Teorias de Gauge Não Comutativas e Gravitação de Spins Altos |
| Beneficiário: | Vladislav Kupriyanov |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |