Eur. Phys. J. C (2012) 72: 2209
https://doi.org/10.1140/epjc/s10052-012-2209-5

Regular Article - Theoretical Physics

Realisation of a Lorentz algebra in Lorentz violating theory

S. N. Bose National Centre for Basic Sciences, Kolkata, 700098, India

^* e-mail: oindrila@bose.res.in

Received: 29 September 2012
Published online: 7 November 2012

Abstract

A Lorentz non-invariant higher derivative effective action in flat spacetime, characterised by a constant vector, can be made invariant under infinitesimal Lorentz transformations by restricting the allowed field configurations. These restricted fields are defined as functions of the background vector in such a way that background dependence of the dynamics of the physical system is no longer manifest. We show here that they also provide a field basis for the realisation of a Lorentz algebra and allow the construction of a Poincaré invariant symplectic two-form on the covariant phase space of the theory.