On one-loop corrections in the Horava-Lifshitz-like QED

Abstract

We study the one-loop two point functions of the gauge, scalar and spinor fields for a Horava-Lifshitz-like QED with critical exponent $z=2$. It turns out that, in certain cases, the dynamical restoration of the Lorentz symmetry at low energies can take place. We also analyze the three point vertex function of the gauge and spinor fields and prove that the triangle anomaly identically vanishes in this theory.

21 pages, final version including errata

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• Testing Lorentz- and CPT-invariance with ultracold neutrons
• Lorentz breaking supersymmetry and Horava-Lifshitz-like models
• On the radiative corrections in the Horava-Lifshitz z=2 QED
• Horava-Lifshitz four-fermion model revisited and dynamical symmetry breaking
• On the Adler-Bell-Jackiw anomaly in a Horava-Lifshitz-like QED
• One-loop corrections in the z=3 Lifshitz extension of QED
• $\mathcal{N}=1$ $\mathcal{D}=3$ Lifshitz-Wess-Zumino model: A paradigm of reconciliation between Lifshitz-like operators and supersymmetry
• Emergent gauge bosons and dynamical symmetry breaking in a four-fermion Lifshitz model
• An UV Completion of Five Dimensional Scalar QED and Lorentz Symmetry
• Quantum-critical electrodynamics of Luttinger fermions