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arXiv · 1809.05692

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

M. Gomes·F. Marques·T. Mariz·J. R. Nascimento·A. Yu. Petrov·A. J. da Silva
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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.

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M. Gomes, F. Marques, T. Mariz, J. R. Nascimento, A. Yu. Petrov, A. J. da Silva. 2018-09-15. One-loop corrections in the z=3 Lifshitz extension of QED. https://doi.org/10.1103/physrevd.98.105016

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