Deformed Poincare Algebra and Field Theory

TL;DR

This paper explores deformed Poincaré algebras with Lorentz symmetry, establishing constraints for field theories and presenting examples that show improved renormalization properties.

Contribution

It introduces a framework for defining field theories on deformed Poincaré algebras with Lorentz symmetry and demonstrates improved renormalization behavior.

Findings

Field theories can be consistently formulated on deformed Poincaré algebras.

Certain deformations lead to improved renormalization properties.

Simple field theoretical examples illustrate the theoretical framework.

Abstract

We examine deformed Poincar\'e algebras containing the exact Lorentz algebra. We impose constraints which are necessary for defining field theories on these algebras and we present simple field theoretical examples. Of particular interest is a case that exhibits improved renormalization properties.