TY - JOUR
T1 - Renormalization group approach in a Lifshitz-like Gross-Neveu-Thirring model
AU - Alves, Van Sérgio
AU - Fernández, Luis
AU - Lepe, Samuel
AU - Nascimento, Leonardo
AU - Peña, Francisco
N1 - Funding Information:
We thank M. Gomes for fruitful discussions. The authors acknowledge the financial support from DIUFRO Grant No.DI16-0066 of Direccian de Investigacian y Desarrollo, Universidad de La Frontera (F.P. and L.F.) and Instituto Federal do Pari (L.N.).
Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/3/15
Y1 - 2018/3/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85044831046&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.97.065015
DO - 10.1103/PhysRevD.97.065015
M3 - Article
AN - SCOPUS:85044831046
VL - 97
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 6
M1 - 065015
ER -