Operator mixing in fermionic CFTs in noninteger dimensions

URN to cite this document:: urn:nbn:de:bvb:355-epub-383458
DOI to cite this document:: 10.5283/epub.38345

Ji, Yao ; Manashov, Alexander N.

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Date of publication of this fulltext: 14 Feb 2019 11:02

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Abstract

We consider the renormalization of four-fermion operators in the critical QED and SU(Nc) version of the Gross-Neveu-Yukawa model in noninteger dimensions. Since the number of mixing operators is infinite, the diagonalization of an anomalous dimension matrix becomes a nontrivial problem. At leading order, the construction of eigenoperators is equivalent to solving certain three-term recurrence ...