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

TL;DR

This paper investigates one-loop quantum corrections in a z=3 Lifshitz extension of QED, demonstrating its renormalizability and asymptotic freedom through detailed calculations of gauge and fermion field interactions.

Contribution

It provides the first detailed one-loop analysis of a z=3 Lifshitz QED model, confirming its renormalizability and asymptotic freedom.

Findings

One-loop corrections satisfy Ward identities.

Model is asymptotically free.

Renormalization removes divergences.

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.