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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2012-04-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2012.021 |
| _version_ | 1819264752550936576 |
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| author | Dmitry S. Kaparulin Simon L. Lyakhovich Alexey A. Sharapov |
| author_facet | Dmitry S. Kaparulin Simon L. Lyakhovich Alexey A. Sharapov |
| author_sort | Dmitry S. Kaparulin |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-23T20:34:29Z |
| format | Article |
| id | doaj.art-d8da5ebe37c346f08b8f69a5df6ec1a4 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-23T20:34:29Z |
| publishDate | 2012-04-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-d8da5ebe37c346f08b8f69a5df6ec1a42022-12-21T17:32:08ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-04-018021Lagrange Anchor and Characteristic Symmetries of Free Massless FieldsDmitry S. KaparulinSimon L. LyakhovichAlexey A. SharapovA 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.http://dx.doi.org/10.3842/SIGMA.2012.021symmetriesconservation lawsBargmann-Wigner equationsLagrange anchor |
| spellingShingle | Dmitry S. Kaparulin Simon L. Lyakhovich Alexey A. Sharapov Lagrange Anchor and Characteristic Symmetries of Free Massless Fields Symmetry, Integrability and Geometry: Methods and Applications symmetries conservation laws Bargmann-Wigner equations Lagrange anchor |
| 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 |
| topic | symmetries conservation laws Bargmann-Wigner equations Lagrange anchor |
| url | http://dx.doi.org/10.3842/SIGMA.2012.021 |
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