A variant of Schwarzian mechanics; Nuclear Physics B; Vol. 936

A variant of Schwarzian mechanics; Nuclear Physics B; Vol. 936

Bibliografiska uppgifter
Parent link:Nuclear Physics B
Vol. 936.— 2018.— [Р. 661-667]
Huvudupphovsman: Galajinsky A. V. Anton Vladimirovich
Institutionell upphovsman: Национальный исследовательский Томский политехнический университет Исследовательская школа физики высокоэнергетических процессов
Sammanfattning:Title screen
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.
Språk:engelska
Publicerad: 2018
Ämnen:
электронный ресурс
труды учёных ТПУ
уравнение движения
производные
преобразования
Länkar:http://earchive.tpu.ru/handle/11683/57549
https://doi.org/10.1016/j.nuclphysb.2018.10.004
Materialtyp: Elektronisk Bokavsnitt
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=660160

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