Schwarzian mechanics via nonlinear realizations; Physics Letters B; Vol. 795
| Parent link: | Physics Letters B Vol. 795.— 2019.— [P. 277-280] |
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| Hlavní autor: | |
| Korporativní autor: | |
| Shrnutí: | Title screen The method of nonlinear realizations is used to clarify some conceptual and technical issues related to the Schwarzian mechanics. It is shown that the Schwarzian derivative arises naturally, if one applies the method to SL(2,R)×R group and decides to keep the number of the independent Goldstone fields to a minimum. The Schwarzian derivative is linked to the invariant Maurer-Cartan one-forms, which make its SL(2,R)-invariance manifest. A Lagrangian formulation for a variant of the Schwarzian mechanics studied recently in A. Galajinsky (2018) is built and its geometric description in terms of 4d metric of the ultrahyperbolic signature is given. |
| Jazyk: | angličtina |
| Vydáno: |
2019
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| Témata: | |
| On-line přístup: | http://earchive.tpu.ru/handle/11683/64860 https://doi.org/10.1016/j.physletb.2019.05.054 |
| Médium: | MixedMaterials Elektronický zdroj Kapitola |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=661915 |
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| 300 | |a Title screen | ||
| 320 | |a [References.: 13 tit.] | ||
| 330 | |a The method of nonlinear realizations is used to clarify some conceptual and technical issues related to the Schwarzian mechanics. It is shown that the Schwarzian derivative arises naturally, if one applies the method to SL(2,R)×R group and decides to keep the number of the independent Goldstone fields to a minimum. The Schwarzian derivative is linked to the invariant Maurer-Cartan one-forms, which make its SL(2,R)-invariance manifest. A Lagrangian formulation for a variant of the Schwarzian mechanics studied recently in A. Galajinsky (2018) is built and its geometric description in terms of 4d metric of the ultrahyperbolic signature is given. | ||
| 461 | |t Physics Letters B | ||
| 463 | |t Vol. 795 |v [P. 277-280] |d 2019 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a the method of nonlinear realizations | |
| 610 | 1 | |a Schwarzian mechanics | |
| 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 | |
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