Scheme-Independent Series for Anomalous Dimensions of Higher-Spin Operators at an Infrared Fixed Point in a Gauge Theory

Thomas A. Ryttov, Robert Shrock

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Abstrakt

We consider an asymptotically free vectorial gauge theory, with gauge group G and Nf fermions in a representation R of G, having an infrared fixed point of the renormalization group. We calculate scheme-independent series expansions for the anomalous dimensions of higher-spin bilinear fermion operators at this infrared fixed point up to O(Δf3), where Δf is an Nf-dependent expansion variable. Our general results are evaluated for several special cases, including the case G=SU(Nc) with R equal to the fundamental and adjoint representations.

OriginalsprogEngelsk
Artikelnummer076018
TidsskriftPhysical Review D. Particles and fields
Vol/bind101
Udgave nummer7
Antal sider18
ISSN2470-0010
DOI
StatusUdgivet - 1. apr. 2020

Bibliografisk note

22 pages, latex, 7 figures

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