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

Ryttov, Thomas A.; Shrock, Robert

doi:10.1103/PhysRevD.94.105015

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

Jul 22, 2016

5 pages

Published in:

Phys.Rev.D 94 (2016) 10, 105015

Published: Nov 15, 2016

e-Print:

1607.06866 [hep-th]

DOI:

10.1103/PhysRevD.94.105015

Report number:

YITP-SB-2016-28,
CP3-ORIGINS-2016-033

View in:

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Abstract: (APS)

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.

Note:

5 pages, latex

gauge field theory: SU(3)
renormalization group: beta function
fixed point: infrared
anomalous dimension
higher-order: 5

References(67)

Figures(0)

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