Regular Article - Theoretical Physics
Realisation of a Lorentz algebra in Lorentz violating theory
S. N. Bose National Centre for Basic Sciences, Kolkata, 700098, India
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Published online: 7 November 2012
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.
Key words: Lorentz violation / Higher derivative canonical formulation / Lorentz algebra
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2012