Functional and local renormalization groups

@article{Codello2015FunctionalAL,
  title={Functional and local renormalization groups},
  author={Alessandro Codello and Giulio D’Odorico and Carlo D. Pagani},
  journal={Physical Review D},
  year={2015},
  volume={91},
  pages={125016}
}
We discuss the relation between functional renormalization group (FRG) and local renormalization group (LRG), focussing on the two dimensional case as an example. We show that away from criticality the Wess-Zumino action is described by a derivative expansion with coefficients naturally related to RG quantities. We then demonstrate that the Weyl consistency conditions derived in the LRG approach are equivalent to the RG equation for the $c$-function available in the FRG scheme. This allows us… 

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