Infrared zero of β and value of γm 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 γm for an SU(3) gauge theory at the five-loop level

Thomas A. Ryttov
, Robert Shrock

Institute for Theoretical Physics

Stony Brook University

University of Southern Denmark

Research output: Contribution to journal › Article › peer-review

55 Scopus citations

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
DOIs	https://doi.org/10.1103/PhysRevD.94.105015
State	Published - Nov 15 2016

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title = "Infrared zero of β and value of γm for an SU(3) gauge theory at the five-loop level",

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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N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/84999006530

U2 - 10.1103/PhysRevD.94.105015

DO - 10.1103/PhysRevD.94.105015

M3 - Article

SN - 2470-0010

VL - 94

JO - Physical Review D

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IS - 10

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ER -

Infrared zero of β and value of γm for an SU(3) gauge theory at the five-loop level

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