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 (5)

• Data Tables for Lorentz and CPT Violation
• Neutrino masses and mixings and...
• Renormalization of Lorentz violating theories
• Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model
• Standard Model Without Elementary Scalars And High Energy Lorentz Violation

Cited by in corpus (12)

• Lifshitz-type Quantum Field Theories in Particle Physics
• Renormalization of Scalar and Yukawa Field Theories with Lorentz Violation
• Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
• Lorentz invariance and the zero-point stress-energy tensor
• Inertial frames without the relativity principle
• Properties of a consistent Lorentz-violating Abelian gauge theory
• Lorentz violating kinematics: Threshold theorems
• The Källén-Lehmann representation for Lorentz-violating field theory
• Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation
• Remarks on the renormalization properties of Lorentz and CPT violating quantum electrodynamics
• Renormalization in a Lorentz-violating model and higher-order operators
• Low-energy Phenomenology Of Scalarless Standard-Model Extensions With High-Energy Lorentz Violation