Safe Glueballs and Baryons

Thomas A. Ryttov, Kimmo Tuominen

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Resumé

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.

OriginalsprogEngelsk
Artikelnummer173
TidsskriftJHEP
Vol/bind2019
Udgave nummer4
ISSN1126-6708
DOI
StatusUdgivet - 30. apr. 2019

Fingeraftryk

baryons
operators
gauge theory
fermions

Bibliografisk note

JHEP = Journal of High Energy Physics

Citer dette

Ryttov, Thomas A. ; Tuominen, Kimmo. / Safe Glueballs and Baryons. I: JHEP. 2019 ; Bind 2019, Nr. 4.
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Safe Glueballs and Baryons. / Ryttov, Thomas A.; Tuominen, Kimmo.

I: JHEP, Bind 2019, Nr. 4, 173, 30.04.2019.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer 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

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JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

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