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

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

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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.

Original languageEnglish
Article number065015
JournalPhysical Review D
Issue number6
StatePublished - 15 Mar 2018


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