# Renormalization group approach in a Lifshitz-like Gross-Neveu-Thirring model

Van Sérgio Alves, Luis Fernández, Samuel Lepe, Leonardo Nascimento, Francisco Peña

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

2 Citas (Scopus)

## Resumen

In this work, we use the renormalization group method in the study of the behavior of a quartic fermionic self-interaction in a Gross-Neveu-Thirring model in 2+1 dimensions, in the context of Hořava-Lifshitz theory. We show that if we include high derivatives in the spatial part of the free Lagrangian density for a critical exponent z=2 the model becomes renormalizable by power counting, thus improving the ultraviolet (UV) behavior of theory. We determine the renormalization group (RG) functions at one-loop order and we obtain the fixed points of effective beta function (β). We find that it is asymptotically free for the case β<0.

Idioma original Inglés 065015 Physical Review D 97 6 https://doi.org/10.1103/PhysRevD.97.065015 Publicada - 15 mar. 2018 Sí

## Huella

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