More Insights into Symmetries in Multisymplectic Field Theories
This work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in theoretical physics and in the geometric formulation of these theories are clar...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/2/390 |
| _version_ | 1797618084209491968 |
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| author | Arnoldo Guerra Narciso Román-Roy |
| author_facet | Arnoldo Guerra Narciso Román-Roy |
| author_sort | Arnoldo Guerra |
| collection | DOAJ |
| description | This work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in theoretical physics and in the geometric formulation of these theories are clarified. Finally, a general discussion is given on the structure of symmetries in the presence of constraints appearing in singular field theories. Symmetries of some typical theories in theoretical physics are analyzed through the construction of the relevant multimomentum maps which are the conserved quantities (by Noether’s theorem) on the (pre)multisymplectic phase spaces. |
| first_indexed | 2024-03-11T08:05:13Z |
| format | Article |
| id | doaj.art-c739ba0b1cee401ab7bd490848f8a046 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T08:05:13Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-c739ba0b1cee401ab7bd490848f8a0462023-11-16T23:32:41ZengMDPI AGSymmetry2073-89942023-02-0115239010.3390/sym15020390More Insights into Symmetries in Multisymplectic Field TheoriesArnoldo Guerra0Narciso Román-Roy1Departament de Física Quàntica i Astrofísica, Universitat de Barcelona, 08028 Barcelona, SpainDepartment of Mathematics, Campus Nord, Universitat Politècnica de Catalunya, 08034 Barcelona, SpainThis work provides a general overview for the treatment of symmetries in classical field theories and (pre)multisymplectic geometry. The geometric characteristics of the relation between how symmetries are interpreted in theoretical physics and in the geometric formulation of these theories are clarified. Finally, a general discussion is given on the structure of symmetries in the presence of constraints appearing in singular field theories. Symmetries of some typical theories in theoretical physics are analyzed through the construction of the relevant multimomentum maps which are the conserved quantities (by Noether’s theorem) on the (pre)multisymplectic phase spaces.https://www.mdpi.com/2073-8994/15/2/390Lagrangian and Hamiltonian field theoriesjet bundlesmultisymplectic formssymmetriesnoether symmetriesgauge symmetries |
| spellingShingle | Arnoldo Guerra Narciso Román-Roy More Insights into Symmetries in Multisymplectic Field Theories Symmetry Lagrangian and Hamiltonian field theories jet bundles multisymplectic forms symmetries noether symmetries gauge symmetries |
| title | More Insights into Symmetries in Multisymplectic Field Theories |
| title_full | More Insights into Symmetries in Multisymplectic Field Theories |
| title_fullStr | More Insights into Symmetries in Multisymplectic Field Theories |
| title_full_unstemmed | More Insights into Symmetries in Multisymplectic Field Theories |
| title_short | More Insights into Symmetries in Multisymplectic Field Theories |
| title_sort | more insights into symmetries in multisymplectic field theories |
| topic | Lagrangian and Hamiltonian field theories jet bundles multisymplectic forms symmetries noether symmetries gauge symmetries |
| url | https://www.mdpi.com/2073-8994/15/2/390 |
| work_keys_str_mv | AT arnoldoguerra moreinsightsintosymmetriesinmultisymplecticfieldtheories AT narcisoromanroy moreinsightsintosymmetriesinmultisymplecticfieldtheories |