Anomalous dimensions at an infrared fixed point in an SU(Nc) gauge theory with fermions in the fundamental and antisymmetric tensor representations

Thomas A. Ryttov*, Robert Shrock

*Corresponding author for this work

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Abstract

We present scheme-independent calculations of the anomalous dimensions γψ¯ψ,IR and γχ¯χ,IR of fermion bilinear operators ψ¯ψ and χ¯χ at an infrared fixed point in an asymptotically free SU(Nc) gauge theory with massless Dirac fermion content consisting of NF fermions ψia in the fundamental representation and NA2 fermions χjab in the antisymmetric rank-2 tensor representation, where i, j are flavor indices. For the case Nc=4, NF=4, and NA2=4, we compare our results with values of these anomalous dimensions measured in a recent lattice simulation and find agreement.

Original languageEnglish
Article number056007
JournalPhysical Review D
Volume108
Issue number5
Number of pages15
ISSN2470-0010
DOIs
Publication statusPublished - Sept 2023

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