FINSLERIAN QUANTUM FIELDS AND MICROCAUSALITY

Microcausality is addressed for a class of Finslerian quantum fields in Minkowski spacetime by the calculation of the appropriate field commutators. It is demonstrated that, provided the adjoint field is consistently generalized, the necessary commutators are vanishing, and the field is microcausal. There are, however, Planck-scale modifications of the causal domain, but they only become significant for extremely large relative four-velocities at the separated spacetime points. For vanishing relative four-velocities, the causal domain is canonical.