  The symmetry properties of a proposal to go beyond relativistic quantum field
theory based on a modification of the commutation relations of fields are
identified. Poincar\'e invariance in an auxiliary spacetime is found in the
Lagrangian version of the path integral formulation. This invariance is
contrasted with the idea of Doubly (or Deformed) Special Relativity (DSR). This
analysis is then used to go from the free theory of a complex field to an
interacting field theory.
