Renormalization group flow of quartic perturbations in graphene: Strong coupling and large-N limits

TL;DR

This paper investigates how quartic interactions in graphene evolve under renormalization group flow at strong coupling and large flavor numbers, revealing potential phase transitions relevant to graphene's physics.

Contribution

It computes anomalous dimensions of quartic couplings in graphene up to next-to-leading order in 1/N, identifying relevant and irrelevant directions in the coupling space.

Findings

Identifies relevant and irrelevant quartic couplings in graphene.

Provides phase diagram insights for strong coupling regimes.

Calculates anomalous dimensions up to next-to-leading order.

Abstract

We explore the renormalization group flow of quartic perturbations in the low-energy theory of graphene, in the strong Coulomb coupling and large-N limits, where N is the number of fermion flavors. We compute the anomalous dimensions of the quartic couplings u up to next-to-leading order in 1/N and find both relevant and irrelevant directions in the space of quartic couplings. We discuss possible phase diagrams and relevance for the physics of graphene.