English

$\epsilon$-Expansion in the Gross-Neveu CFT

High Energy Physics - Theory 2016-11-23 v2

Abstract

We use the recently developed CFT techniques of Rychkov and Tan to compute anomalous dimensions in the O(N)O(N) Gross-Neveu model in d=2+ϵd=2+\epsilon dimensions. To do this, we extend the "cowpie contraction" algorithm of arXiv:1506.06616 to theories with fermions. Our results match perfectly with Feynman diagram computations.

Keywords

Cite

@article{arxiv.1510.05287,
  title  = {$\epsilon$-Expansion in the Gross-Neveu CFT},
  author = {Avinash Raju},
  journal= {arXiv preprint arXiv:1510.05287},
  year   = {2016}
}

Comments

v2: a correction in contraction algorithm (main results unchanged), references and an appendix added, discussion less rushed