On causality in polymer scalar field theory

Mathematics – Mathematical Physics

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General Relativity, Relativity, Canonical Formalism, Lagrangians, And Variational Principles, Friction, Lubrication, And Wear

Scientific paper

The properties of spacetime corresponding to a proposed quantum gravity theory might modify the high energy behavior of quantum fields. Motivated by loop quantum gravity, recently, Hossain et al [1] have considered a polymer field algebra that replaces the standard canonical one in order to calculate the propagator of a real scalar field in flat spacetime. This propagator features Lorentz violations. Motivated by the relation between Lorentz invariance and causality in standard Quantum Field Theory, in this work we investigate the causality behavior of the polymer scalar field.

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