The gradient flow running coupling scheme

Z. Fodor, Kieran Holland, Julius Kuti, Dániel Nógrádi, Chik Him Wong

Research output: Contribution to journalConference article

4 Citations (Scopus)

Abstract

The Yang-Mills gradient flow in finite volume is used to define a running coupling scheme. As our main result the discrete b-function, or step scaling function, is calculated for scale change s=3=2 at several lattice spacings for SU(3) gauge theory coupled to Nf =4 fundamental massless fermions. The continuum extrapolation is performed and agreement is found with the continuum perturbative results for small renormalized coupling. The case of SU(2) gauge group is briefly commented on.

Original languageEnglish
Article number045
JournalProceedings of Science
VolumePart F130497
Publication statusPublished - Jan 1 2012
Event30th International Symposium on Lattice Field Theory, Lattice 2012 - Cairns, Australia
Duration: Jun 24 2012Jun 29 2012

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discrete functions
continuums
gradients
gauge theory
extrapolation
fermions
spacing
scaling

ASJC Scopus subject areas

  • General

Cite this

Fodor, Z., Holland, K., Kuti, J., Nógrádi, D., & Wong, C. H. (2012). The gradient flow running coupling scheme. Proceedings of Science, Part F130497, [045].

The gradient flow running coupling scheme. / Fodor, Z.; Holland, Kieran; Kuti, Julius; Nógrádi, Dániel; Wong, Chik Him.

In: Proceedings of Science, Vol. Part F130497, 045, 01.01.2012.

Research output: Contribution to journalConference article

Fodor, Z, Holland, K, Kuti, J, Nógrádi, D & Wong, CH 2012, 'The gradient flow running coupling scheme', Proceedings of Science, vol. Part F130497, 045.
Fodor Z, Holland K, Kuti J, Nógrádi D, Wong CH. The gradient flow running coupling scheme. Proceedings of Science. 2012 Jan 1;Part F130497. 045.
Fodor, Z. ; Holland, Kieran ; Kuti, Julius ; Nógrádi, Dániel ; Wong, Chik Him. / The gradient flow running coupling scheme. In: Proceedings of Science. 2012 ; Vol. Part F130497.
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