Safe glueballs and baryons

Thomas A. Ryttov, Kimmo Tuominen

Research output: Contribution to journalArticleScientificpeer-review

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
JournalJournal of High Energy Physics
Volume2019
Issue number4
Number of pages14
ISSN1029-8479
DOIs
Publication statusPublished - 30 Apr 2019
MoE publication typeA1 Journal article-refereed

Fields of Science

  • 1/N Expansion
  • Lattice Quantum Field Theory
  • Renormalization Group
  • BETA-FUNCTION
  • 114 Physical sciences

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