Quantum Noncanonical Field Theory: Symmetries and Interaction
J.M. Carmona, J.L. Cortes, J. Indurain, D. Mazon
TL;DR
This paper explores a modified quantum field theory with altered commutation relations, identifying its symmetries, especially Poincaré invariance, and extending from free to interacting theories, contrasting it with DSR.
Contribution
It introduces a novel noncanonical quantum field theory framework with symmetry analysis and extends it to include interactions, differing from existing relativistic models.
Findings
Poincaré invariance in an auxiliary spacetime is established.
The framework extends from free to interacting fields.
Contrasts with Doubly Special Relativity are clarified.
Abstract
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.
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