Induced deformation of the canonical structure and UV/IR duality in $(1+1)D$

TL;DR

This paper explores how fermionic interactions can deform the canonical structure in (1+1)D Lorentz-violating theories and uses duality to analyze IR and UV behaviors.

Contribution

It introduces a framework linking fermionic interactions to canonical structure deformation and applies duality to study IR/UV regimes in (1+1)D Lorentz-violating models.

Findings

Fermionic interactions induce deformations in the canonical structure.

Duality reasoning reveals IR/UV behavior in the deformed theory.

Insights into Lorentz violation effects in low-dimensional field theories.

Abstract

The purpose of this work is two fold. Working in the framework of $(1+1)D$ Lorentz violating field theories we will investigate in the first place the general claim that fermionic interactions may be equivalent to a deformation of the canonical structure of the theory. Second the deformed theory will be studied using duality reasoning to address the behavior of the Infra-Red and Ultra-Violet regimes.