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Lagrange anchor and characteristic symmetries of free massless fields

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

Department of Quantum Field Theory, Tomsk State University, 36 Lenin Ave., Tomsk 634050, Russia

Abstract: 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.

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

MSC: 70S10; 81T70

Received: December 28, 2011; in final form April 9, 2012; Published online April 12, 2012

Language: English

DOI: 10.3842/SIGMA.2012.021

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ArXiv: 1112.1860