Realisation of a Lorentz algebra in Lorentz violating theory
Oindrila Ganguly
2012
European Physical Journal C: Particles and Fields
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 dependance 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 Lorentz algebra and
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... llow the construction of a Poincar\'e invariant symplectic two form on the covariant phase space of the theory.
doi:10.1140/epjc/s10052-012-2209-5
fatcat:ykluyj64v5fv5cbk52uw2663ti