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Lagrange Anchor and Characteristic Symmetries of Free Massless Fields
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Lagrange Anchor and Characteristic Symmetries of Free Massless Fields
Інший ID:
2010 Mathematics Subject Classification: 70S10; 81T70
DOI: http://dx.doi.org/10.3842/SIGMA.2012.021
DOI: http://dx.doi.org/10.3842/SIGMA.2012.021
Посилання:
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.
Підтримка:
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.
Дата:
2012
Переглядів:
788
Завантажень:
251
Анотація:
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.
