A variant of Schwarzian mechanics
Электронный архив ТПУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
A variant of Schwarzian mechanics
|
|
| Автор |
Galajinsky, Anton Vladimirovich
|
|
| Тематика |
уравнение движения
производные преобразования |
|
| Описание |
The Schwarzian derivative is invariant under -transformations and, as thus, any function of it can be used to determine the equation of motion or the Lagrangian density of a higher derivative -invariant 1d mechanics or the Schwarzian mechanics for short. In this note, we consider the simplest variant which results from setting the Schwarzian derivative to be equal to a dimensionful coupling constant. It is shown that the corresponding dynamical system in general undergoes stable evolution but for one fixed point solution which is only locally stable. Conserved charges associated with the -symmetry transformations are constructed and a Hamiltonian formulation reproducing them is proposed. An embedding of the Schwarzian mechanics into a larger dynamical system associated with the geodesics of a Brinkmann-like metric obeying the Einstein equations is constructed.
|
|
| Дата |
2020-01-23T09:34:49Z
2020-01-23T09:34:49Z 2018 |
|
| Тип |
Article
Published version (info:eu-repo/semantics/publishedVersion) Journal article (info:eu-repo/semantics/article) |
|
| Идентификатор |
Galajinsky A. V. A variant of Schwarzian mechanics / A. V. Galajinsky // Nuclear Physics B. — 2018. — Vol. 936. — [Р. 661-667].
http://earchive.tpu.ru/handle/11683/57549 10.1016/j.nuclphysb.2018.10.004 |
|
| Язык |
en
|
|
| Права |
Open access (info:eu-repo/semantics/openAccess)
|
|
| Формат |
application/pdf
|
|
| Издатель |
Томский политехнический университет
|
|
| Источник |
Nuclear Physics B
|
|