Quantum Noncanonical Field Theory: Symmetries and Interaction

Understand

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.