Lagrange anchor and characteristic symmetries of free massless fields

Dmitry S. Kaparulin   ; Simon L. Lyakhovich   ; Alexey A. Sharapov

Symmetry, integrability and geometry: methods and applications, Tome 8 (2012)

Résumé

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.

Détail

Keywords: symmetries, conservation laws, Bargmann–Wigner equations, Lagrange anchor.

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