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
Schlagworte:	Asymptotic methods Fermions Regularization Renormalization group methods
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container_title	Physical review. D
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creator	Gomes, M. Marques, F. Mariz, T. Nascimento, J. R. Petrov, A. Yu da Silva, A. J.
description	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.
doi_str_mv	10.1103/PhysRevD.98.105016
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title	One-loop corrections in the z = 3 Lifshitz extension of QED
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