Eur. Phys. J. C (2015) 75: 454
https://doi.org/10.1140/epjc/s10052-015-3687-z

Regular Article - Theoretical Physics

Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field

¹ Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, 634061, Russia
² National Research Tomsk State University, Tomsk, 634050, Russia

^* e-mail: krykhtin@tspu.edu.ru

Received: 23 July 2015
Accepted: 17 September 2015
Published online: 27 September 2015

Abstract

We consider the massive integer higher spin fields coupled to an external constant electromagnetic field in flat space of arbitrary dimension and find a gauge invariant quartic interaction vertex which is quadratic in a dynamical higher spin field and quadratic in the external field. The construction of the vertex is based on the BRST approach to higher spin field theory where no off-shell constraints on the fields and on the gauge parameters are imposed from the very beginning (unconstrained formulation).