1/N Expansion for Horava-Lifshitz like four-fermion models

Abstract

We study a class of four-fermion Gross-Neveu like models in four dimensions with critical exponents $z=2$ and $z=3$. The models with $z=2$ are known to be perturbatively nonrenormalizable but are shown to be renormalizable in the context of the $1/N$ expansion. We calculate explicitly the effective potential for these models.

arXiv comment12 pages

References in corpus (18)

• Quantum Gravity at a Lifshitz Point
• Data Tables for Lorentz and CPT Violation
• On Lorentz violation in Horava-Lifshitz type theories
• Renormalization group in Lifshitz-type theories
• Weighted power counting and Lorentz violating gauge theories. I: General properties
• Weighted power counting and Lorentz violating gauge theories. II: Classification
• Asymptotically free four-fermi theory in 4 dimensions at the z=3 Lifshitz-like fixed point
• On the effective potential for Horava-Lifshitz-like theories
• On Higher Spatial Derivative Field Theories
• A Simple UV-Completion of QED in 5D
• On the Horava-Lifshitz-like Gross-Neveu model
• Electrodynamics a la Horava
• Extended phase-space analysis of the Horava-Lifshitz cosmology
• On higher-order corrections in a four-fermion Lifshitz model
• On the effective potential for Horava-Lifshitz-like theories with the arbitrary critical exponent
• On the effective potential, Horava-Lifshitz-like theories and finite temperature
• Pure electromagnetic-gravitational interaction in Hořava-Lifshitz theory at the kinetic conformal point
• Revisiting Lorentz violation in Horava gravity

Cited by in corpus (2)

• Bose-Einstein condensation in Hořava-Lifshitz theory
• CPT-violating z=3 Horava-Lifshitz QED and generation of the Carroll-Field-Jackiw term