One-loop corrections in the z=3 Lifshitz extension of QED

Abstract

In this work we study a z=3 Horava-Lifshitz-like extension of QED in (3+1) dimensions. We calculate the one-loop radiative corrections to the two and three-point functions of the gauge and fermion fields. Such corrections were achieved using the perturbative approach and a dimensional regularization was performed only in the spatial sector. Renormalization was required to eliminate the divergent contributions emergent from the photon and electron self-energies and from the three-point function. We verify that the one-loop vertex functions satisfy the usual Ward identities and using renormalization group methods we show that the model is asymptotically free.

arXiv comment20 pages, final version accepted to PRD

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Cited by in corpus (4)

• Higher-derivative Lorentz-breaking dispersion relations: a thermal description
• Emergent gauge bosons and dynamical symmetry breaking in a four-fermion Lifshitz model
• 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