Scheme-Independent Calculations of Properties at a Conformal Infrared Fixed Point in Gauge Theories with Multiple Fermion Representations

Thomas A. Ryttov, Robert Shrock

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Abstract

In previous work we have presented scheme-independent calculations of physical properties of operators at a conformally invariant infrared fixed point in an asymptotically free gauge theory with gauge group G and Nf fermions in a representation R of G. Here we generalize this analysis to the case of fermions in multiple representations, focusing on the case of two different representations. Our results include the calculation of the anomalous dimensions of gauge-invariant fermion bilinear operators, and the derivative of the beta function, evaluated at the infrared fixed point. We illustrate our results in an SU(Nc) gauge theory with NF fermions in the fundamental representation and NAdj fermions in the adjoint representation.

Original languageEnglish
Article number096003
JournalPhysical Review D
Volume98
Issue number9
Number of pages17
ISSN2470-0010
DOIs
Publication statusPublished - 8. Nov 2018

Bibliographical note

Published 8 November 2018

Keywords

  • hep-th
  • hep-lat
  • hep-ph

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