Equivariance, Variational Principles, and the Feynman Integral
We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's inte...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2008 |
| ISSN: | 1815-0659 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148982 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Equivariance, Variational Principles, and the Feynman Integral / G. Svetlichny // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862621207301455872 |
|---|---|
| author | Svetlichny, G. |
| author_facet | Svetlichny, G. |
| citation_txt | Equivariance, Variational Principles, and the Feynman Integral / G. Svetlichny // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's integral.
|
| first_indexed | 2025-12-07T13:23:57Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148982 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:23:57Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Svetlichny, G. 2019-02-19T12:40:37Z 2019-02-19T12:40:37Z 2008 Equivariance, Variational Principles, and the Feynman Integral / G. Svetlichny // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 49N99; 49Q99; 58D30; 58K70; 70S05; 70S10 https://nasplib.isofts.kiev.ua/handle/123456789/148982 We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's integral. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). This research was partially supported by the Conselho Nacional de Desenvolvimento Cientıfico e Tecnologico (CNPq), and the Fundacao de Amparoa Pesquisa do Estado do Rio de Janeiro (FAPERJ). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Equivariance, Variational Principles, and the Feynman Integral Article published earlier |
| spellingShingle | Equivariance, Variational Principles, and the Feynman Integral Svetlichny, G. |
| title | Equivariance, Variational Principles, and the Feynman Integral |
| title_full | Equivariance, Variational Principles, and the Feynman Integral |
| title_fullStr | Equivariance, Variational Principles, and the Feynman Integral |
| title_full_unstemmed | Equivariance, Variational Principles, and the Feynman Integral |
| title_short | Equivariance, Variational Principles, and the Feynman Integral |
| title_sort | equivariance, variational principles, and the feynman integral |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148982 |
| work_keys_str_mv | AT svetlichnyg equivariancevariationalprinciplesandthefeynmanintegral |