2018•Unpublished venueOpen access

Loop calculations for models of graphene

J. A. Gracey

Abstract

The various Gross-Neveu classes of quantum field theories are of interest in the study of a particular phase transition in graphene. We review recent activity in the determination of several critical exponents in the chiral Heisenberg Gross-Neveu universality class using the critical point large $N$ technique which includes the use of the large $N$ conformal bootstrap method.

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Key concepts: Gross–Neveu model, Critical exponent, Universality (dynamical systems), Renormalization group, Critical phenomena, Critical point (mathematics), Graphene, Conformal map