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

*Kontaktforfatter

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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.

OriginalsprogEngelsk
Artikelnummer056007
TidsskriftPhysical Review D
Vol/bind108
Udgave nummer5
Antal sider15
ISSN2470-0010
DOI
StatusUdgivet - sep. 2023

Bibliografisk note

Funding Information:
We thank Professors Yigal Shamir and Jong-Wan Lee for valuable discussions via email. This research of R. S. was supported in part by the U.S. NSF Grant NSF-PHY-22-10533.

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