New dynamical degrees of freedom from invertible transformations
Abstract We show that invertible transformations of dynamical variables can change the number of dynamical degrees of freedom. Moreover, even in cases when the number of dynamical degrees of freedom remains unchanged, the resulting dynamics can be essentially different from the one of the system pri...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2023)154 |
| _version_ | 1797647518640635904 |
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| author | Pavel Jiroušek Keigo Shimada Alexander Vikman Masahide Yamaguchi |
| author_facet | Pavel Jiroušek Keigo Shimada Alexander Vikman Masahide Yamaguchi |
| author_sort | Pavel Jiroušek |
| collection | DOAJ |
| description | Abstract We show that invertible transformations of dynamical variables can change the number of dynamical degrees of freedom. Moreover, even in cases when the number of dynamical degrees of freedom remains unchanged, the resulting dynamics can be essentially different from the one of the system prior to transformation. After giving concrete examples in point particle cases, we discuss changes in dynamics due to invertible disformal transformations of the metric in gravitational theories. |
| first_indexed | 2024-03-11T15:18:42Z |
| format | Article |
| id | doaj.art-f3319b3cc8a64125983ff0bea04303af |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:18:42Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f3319b3cc8a64125983ff0bea04303af2023-10-29T12:08:16ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023713110.1007/JHEP07(2023)154New dynamical degrees of freedom from invertible transformationsPavel Jiroušek0Keigo Shimada1Alexander Vikman2Masahide Yamaguchi3High Energy Physics, Cosmology & Astrophysics Theory Group, University of Cape TownDepartment of Physics, Tokyo Institute of TechnologyCEICO — Central European Institute for Cosmology and Fundamental Physics, FZU — Institute of Physics of the Czech Academy of SciencesCosmology, Gravity, and Astroparticle Physics Group, Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS)Abstract We show that invertible transformations of dynamical variables can change the number of dynamical degrees of freedom. Moreover, even in cases when the number of dynamical degrees of freedom remains unchanged, the resulting dynamics can be essentially different from the one of the system prior to transformation. After giving concrete examples in point particle cases, we discuss changes in dynamics due to invertible disformal transformations of the metric in gravitational theories.https://doi.org/10.1007/JHEP07(2023)154Classical Theories of GravityConformal and W SymmetryScale and Conformal Symmetries |
| spellingShingle | Pavel Jiroušek Keigo Shimada Alexander Vikman Masahide Yamaguchi New dynamical degrees of freedom from invertible transformations Journal of High Energy Physics Classical Theories of Gravity Conformal and W Symmetry Scale and Conformal Symmetries |
| title | New dynamical degrees of freedom from invertible transformations |
| title_full | New dynamical degrees of freedom from invertible transformations |
| title_fullStr | New dynamical degrees of freedom from invertible transformations |
| title_full_unstemmed | New dynamical degrees of freedom from invertible transformations |
| title_short | New dynamical degrees of freedom from invertible transformations |
| title_sort | new dynamical degrees of freedom from invertible transformations |
| topic | Classical Theories of Gravity Conformal and W Symmetry Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP07(2023)154 |
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