Horava-Lifshitz four-fermion model revisited and dynamical symmetry breaking

Abstract

In this paper, we develop studies of the dynamical symmetry breaking in the Horava-Lifshitz four-fermion model for the specific case $z=3$ and explicitly demonstrate that for various space-time dimensions, one could arrive at the theory displaying both dynamical generation of the Lorentz symmetry for the kinetic term and arising the positively defined potential at the same time. At the same time, for $D=3$, the Lorentz invariant Chern-Simons term is generated.

arXiv comment10 pages

References in corpus (16)

• Quantum Gravity at a Lifshitz Point
• Proposal for a Simple Model of Dynamical SUSY Breaking
• Dynamical Symmetry Breaking of Extended Gauge Symmetries
• Weighted power counting and Lorentz violating gauge theories. I: General properties
• Weighted power counting and Lorentz violating gauge theories. II: Classification
• Weighted scale invariant quantum field theories
• On Higher Spatial Derivative Field Theories
• On the effective potential for Horava-Lifshitz-like theories
• On the Horava-Lifshitz-like Gross-Neveu model
• Dynamical Lorentz symmetry breaking and topological defects
• On Ward Identities in Lifshitz-like Field Theories
• Dynamical Lorentz symmetry breaking in a 4D massless four-fermion model
• Chern-Simons terms in Lifshitz like quantum electrodynamics
• Symmetry breaking and restoration for interacting scalar and gauge fields in Lifshitz type theories
• On one-loop corrections in the Horava-Lifshitz-like QED
• Emergent gauge bosons and dynamical symmetry breaking in a four-fermion Lifshitz model

Cited by in corpus (5)

• The all-loop perturbative derivation of the NSVZ $\beta$-function and the NSVZ scheme in the non-Abelian case by summing singular contributions
• Exact $\beta$-functions for $\mathcal{N}=1$ supersymmetric theories finite in the lowest loops
• Bose-Einstein condensation in Hořava-Lifshitz theory
• Generation of Carroll-Field-Jackiw term in the Functional Integral approach within Horava-Lifshitz $z=3$ CPT-violating QED
• CPT-violating z=3 Horava-Lifshitz QED and generation of the Carroll-Field-Jackiw term