Safe Glueballs and Baryons

Thomas A. Ryttov, Kimmo Tuominen

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Abstract

We consider a non-Abelian gauge theory with N f fermions and discuss the possible existence of a non-trivial UV fixed point at large N f . Specifically, we study the anomalous dimension of the (rescaled) glueball operator Tr F 2 to first order in 1/N f by relating it to the derivative of the beta function at the fixed point. At the fixed point the anomalous dimension violates its unitarity bound and so the (rescaled) glueball operator is either decoupled or the fixed point does not exist. We also study the anomalous dimensions of the two spin-1/2 baryon operators to first order in 1/N f for an SU(3) gauge theory with fundamental fermions and find them to be relatively small and well within their associated unitarity bounds.

Original languageEnglish
Article number173
JournalJHEP
Volume2019
Issue number4
ISSN1126-6708
DOIs
Publication statusPublished - 30. Apr 2019

Bibliographical note

JHEP = Journal of High Energy Physics

Keywords

  • 1/N Expansion
  • Lattice Quantum Field Theory
  • Renormalization Group

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