A variant of Schwarzian mechanics; Nuclear Physics B; Vol. 936
| Parent link: | Nuclear Physics B Vol. 936.— 2018.— [Р. 661-667] |
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| Egile nagusia: | |
| Erakunde egilea: | |
| Gaia: | 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. |
| Hizkuntza: | ingelesa |
| Argitaratua: |
2018
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| Gaiak: | |
| Sarrera elektronikoa: | http://earchive.tpu.ru/handle/11683/57549 https://doi.org/10.1016/j.nuclphysb.2018.10.004 |
| Formatua: | MixedMaterials Baliabide elektronikoa Liburu kapitulua |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=660160 |
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| 200 | 1 | |a A variant of Schwarzian mechanics |f A. V. Galajinsky | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 12 tit.] | ||
| 330 | |a 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. | ||
| 461 | |t Nuclear Physics B | ||
| 463 | |t Vol. 936 |v [Р. 661-667] |d 2018 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a уравнение движения | |
| 610 | 1 | |a производные | |
| 610 | 1 | |a преобразования | |
| 700 | 1 | |a Galajinsky |b A. V. |c Doctor of Physical and Mathematical Sciences, Tomsk Polytechnic University (TPU), Department of Higher Mathematics and Mathematical Physics of the Institute of Physics and Technology (HMMPD IPT) |c Professor of the TPU |f 1971- |g Anton Vladimirovich |3 (RuTPU)RU\TPU\pers\27878 |9 12894 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Исследовательская школа физики высокоэнергетических процессов |c (2017- ) |3 (RuTPU)RU\TPU\col\23551 |
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| 856 | 4 | |u https://doi.org/10.1016/j.nuclphysb.2018.10.004 | |
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