Lagrange Anchor and Characteristic Symmetries of Free Massless Fields
A Poincaré covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s>1/2 in four-dimensional Minkowski space. By making use of this Lagrange anchor, we assign a symmetry to each conservation law and perfo...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148413 |
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| Cite this: | Lagrange Anchor and Characteristic Symmetries of Free Massless Fields / D.S. Kaparulin, S.L. Lyakhovich, A.A. Sharapov // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 32 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862741362957352960 |
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| author | Kaparulin, D.S. Lyakhovich, S.L. Sharapov, A.A. |
| author_facet | Kaparulin, D.S. Lyakhovich, S.L. Sharapov, A.A. |
| citation_txt | Lagrange Anchor and Characteristic Symmetries of Free Massless Fields / D.S. Kaparulin, S.L. Lyakhovich, A.A. Sharapov // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 32 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A Poincaré covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s>1/2 in four-dimensional Minkowski space. By making use of this Lagrange anchor, we assign a symmetry to each conservation law and perform the path-integral quantization of the theory.
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| first_indexed | 2025-12-07T20:19:16Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-148413 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:19:16Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kaparulin, D.S. Lyakhovich, S.L. Sharapov, A.A. 2019-02-18T11:53:58Z 2019-02-18T11:53:58Z 2012 Lagrange Anchor and Characteristic Symmetries of Free Massless Fields / D.S. Kaparulin, S.L. Lyakhovich, A.A. Sharapov // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 32 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70S10; 81T70 DOI: http://dx.doi.org/10.3842/SIGMA.2012.021 https://nasplib.isofts.kiev.ua/handle/123456789/148413 A Poincaré covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s>1/2 in four-dimensional Minkowski space. By making use of this Lagrange anchor, we assign a symmetry to each conservation law and perform the path-integral quantization of the theory. This paper is a contribution to the Special Issue “Symmetries of Dif ferential Equations: Frames, Invariants and Applications”. The full collection is available at http://www.emis.de/journals/SIGMA/SDE2012.html.
 We are thankful to G. Barnich, and E. Skvortsov for illuminating discussions on various issues related to the subject of this paper and for relevant references. We also benefited from the valuable comments by S. Anco and three anonymous referees that helped us to improve the initial version of the manuscript. The work was initiated during our visit to the Erwin Shr¨odinger Institute (Vienna, October–November 2010) and we appreciate its hospitality. The work was partially supported by the RFBR grant No 09-02-00723-a and also by Russian Federal Agency of Education under the State Contract no P789. AAS appreciates the financial support from Dynasty Foundation, SLL acknowledges partial support from the RFBR grant 11-01-00830-a. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Lagrange Anchor and Characteristic Symmetries of Free Massless Fields Article published earlier |
| spellingShingle | Lagrange Anchor and Characteristic Symmetries of Free Massless Fields Kaparulin, D.S. Lyakhovich, S.L. Sharapov, A.A. |
| title | Lagrange Anchor and Characteristic Symmetries of Free Massless Fields |
| title_full | Lagrange Anchor and Characteristic Symmetries of Free Massless Fields |
| title_fullStr | Lagrange Anchor and Characteristic Symmetries of Free Massless Fields |
| title_full_unstemmed | Lagrange Anchor and Characteristic Symmetries of Free Massless Fields |
| title_short | Lagrange Anchor and Characteristic Symmetries of Free Massless Fields |
| title_sort | lagrange anchor and characteristic symmetries of free massless fields |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148413 |
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