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

Abstract

We use the recently developed CFT techniques of Rychkov and Tan to compute anomalous dimensions in the $O(N)$ Gross-Neveu model in $d=2+\epsilon$ 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.

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

References in corpus (1)

• $\epsilon$-Expansion in the Gross-Neveu Model from Conformal Field Theory

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