Renormalization Of High-Energy Lorentz Violating Four Fermion Models

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.

Comments: 24 pages; v2: typos corrected, more details and some expanded comments, PRD published version