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

@article{Drut2008RenormalizationGF,
  title={Renormalization group flow of quartic perturbations in graphene: Strong coupling and large- N limits},
  author={Joaqu{\'i}n E. Drut and Dam Thanh Son},
  journal={Physical Review B},
  year={2008},
  volume={77},
  pages={075115}
}
We explore the renormalization group flow of quartic perturbations in the low-enegy 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 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. 

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