Realisation of a Lorentz algebra in Lorentz violating theory |
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Authors: | Oindrila Ganguly |
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Institution: | 1. Physics Department, Razi University, Kermanshah, 67149, Iran
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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. |
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