Renormalization Of High-Energy Lorentz Violating Four Fermion Models

TL;DR

This paper investigates the one-loop renormalization properties of high-energy Lorentz violating four-fermion models, providing formulas, analyzing asymptotic freedom, and exploring RG flow trajectories that suggest potential hidden symmetries.

Contribution

It introduces general renormalization formulas for these models and offers a practical method to identify asymptotic freedom domains and hidden symmetries.

Findings

Derived general formulas for one-loop renormalization

Identified conditions for asymptotic freedom

Discovered rational RG trajectories indicating possible new symmetries

Abstract

We study the one-loop renormalization of high-energy Lorentz violating four fermion models. We derive general formulas and then consider a number of specific models. We study the conditions for asymptotic freedom and give a practical method to determine the asymptotic-freedom domain. We also point out that in some models the RG flow contains "rational" Zimmermann trajectories that might hide new symmetries.