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

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...

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Veröffentlicht in:Physical review. D 2018-11, Vol.98 (10), p.105016, Article 105016
Hauptverfasser: Gomes, M., Marques, F., Mariz, T., Nascimento, J. R., Petrov, A. Yu, da Silva, A. J.
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Sprache:eng
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Zusammenfassung: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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.98.105016