Infrared Zero of $β$ and Value of $γ_m$ for an SU(3) Gauge Theory at the Five-Loop Level

Thomas A. Ryttov; Robert Shrock

doi:10.1103/PhysRevD.94.105015

Infrared Zero of $β$ and Value of $γ_m$ for an SU(3) Gauge Theory at the Five-Loop Level

Thomas A. Ryttov, Robert Shrock

Stony Brook University

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Abstract

We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions. Both a direct analysis of the beta function and analyses of Padé approximants are used for this purpose. We then calculate the value of the five-loop anomalous dimension, γm, of the fermion bilinear at this IR zero of the beta function.

Original language	English
Article number	105015
Journal	Physical Review D
Volume	94
Issue number	10
Pages (from-to)	1-5
ISSN	2470-0010
DOIs	https://doi.org/10.1103/PhysRevD.94.105015
Publication status	Published - 2016

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10.1103/PhysRevD.94.105015Licence: CC BY

Infrared zero of β and value of γm for an SU(3) gauge theory at the five-loop levelFinal published version, 130 KBLicence: CC BY

https://arxiv.org/pdf/1607.06866.pdfLicence: Unspecified

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abstract = "We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions. Both a direct analysis of the beta function and analyses of Pad{\'e} approximants are used for this purpose. We then calculate the value of the five-loop anomalous dimension, γm, of the fermion bilinear at this IR zero of the beta function.",

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AB - We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions. Both a direct analysis of the beta function and analyses of Padé approximants are used for this purpose. We then calculate the value of the five-loop anomalous dimension, γm, of the fermion bilinear at this IR zero of the beta function.

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Infrared Zero of $β$ and Value of $γ_m$ for an SU(3) Gauge Theory at the Five-Loop Level

Abstract

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