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

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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.
revtex4 file, 19 pages, typos corrected, reference added, appendix added, accepted for publication in Physical Review D

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