Renormalization and asymptotic states in Lorentz-violating QFT

TL;DR

This paper investigates how small Lorentz violations in quantum field theories impact the fundamental aspects of particle states, renormalization, and the formalism used to describe particles.

Contribution

It analyzes the effects of Lorentz symmetry breaking on the mass-shell condition, renormalization, and the LSZ reduction formalism in quantum field theory.

Findings

Lorentz-violating corrections modify the mass-shell condition

Renormalization procedures are affected by Lorentz symmetry breaking

Asymptotic states require redefinition in Lorentz-violating theories

Abstract

Radiative corrections in quantum field theories with small departures from Lorentz symmetry alter structural aspects of the theory, in particular the definition of asymptotic single-particle states. Specifically, the mass-shell condition, the standard renormalization procedure as well as the Lehmann-Symanzik-Zimmermann reduction formalism are affected.