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.

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

References in corpus (2)

• Renormalization of Lorentz violating theories
• Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model

Cited by in corpus (2)

• Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
• Low-energy Phenomenology Of Scalarless Standard-Model Extensions With High-Energy Lorentz Violation