Dynamical dimensional reduction in multivalued Hamiltonians
| Autor: | Junior, Alexsandre L. Ferreira, Pinto-Neto, Nelson, Zanelli, Jorge |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Physical Review D. 105 |
| ISSN: | 2470-0029 2470-0010 |
| Popis: | Several interesting physical systems, such as the Lovelock extension of General Relativity in higher dimensions, classical time crystals, k-essence fields, Horndeski theories, compressible fluids, and nonlinear electrodynamics, have apparent ill defined sympletic structures, due to the fact that their Hamiltonians are multi-valued functions of the momenta. In this paper, the dynamical evolution generated by such Hamiltonians is described as a degenerate dynamical system, whose sympletic form does not have a constant rank, allowing novel features and interpretations not present in previous investigations. In particular, it is shown how the multi-valuedness is associated with a dynamical mechanism of dimensional reduction, as some degrees of freedom turn into gauge symmetries when the system degenerates. 8 pages, 3 figures. Replaced to match published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|