Safe Glueballs and Baryons

Thomas A. Ryttov, Kimmo Tuominen

Research output: Contribution to journalJournal articleResearchpeer-review

16 Downloads (Pure)

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

Fingerprint

baryons
operators
gauge theory
fermions

Bibliographical note

JHEP = Journal of High Energy Physics

Keywords

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

Cite this

Ryttov, Thomas A. ; Tuominen, Kimmo. / Safe Glueballs and Baryons. In: JHEP. 2019 ; Vol. 2019, No. 4.
@article{a0787e089d0a40259e2dd1392c292b3d,
title = "Safe Glueballs and Baryons",
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.",
keywords = "1/N Expansion, Lattice Quantum Field Theory, Renormalization Group",
author = "Ryttov, {Thomas A.} and Kimmo Tuominen",
note = "JHEP = Journal of High Energy Physics",
year = "2019",
month = "4",
day = "30",
doi = "10.1007/JHEP04(2019)173",
language = "English",
volume = "2019",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Heinemann",
number = "4",

}

Safe Glueballs and Baryons. / Ryttov, Thomas A.; Tuominen, Kimmo.

In: JHEP, Vol. 2019, No. 4, 173, 30.04.2019.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Safe Glueballs and Baryons

AU - Ryttov, Thomas A.

AU - Tuominen, Kimmo

N1 - JHEP = Journal of High Energy Physics

PY - 2019/4/30

Y1 - 2019/4/30

N2 - 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.

AB - 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.

KW - 1/N Expansion

KW - Lattice Quantum Field Theory

KW - Renormalization Group

U2 - 10.1007/JHEP04(2019)173

DO - 10.1007/JHEP04(2019)173

M3 - Journal article

VL - 2019

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 4

M1 - 173

ER -