$ε$ -Expansion in the Gross-Neveu CFT

preprint2015arXivOpen access

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

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$ε$ -Expansion in the Gross-Neveu CFT

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εεε-Expansion in the Gross-Neveu CFT

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$ε$ -Expansion in the Gross-Neveu CFT