The lattice gradient flow at tree level

Zoltán Fodor; Kieran Holland; Julius Kuti; Santanu Mondal; Dániel Nógrádi; Chik Him Wong

The lattice gradient flow at tree level

Zoltán Fodor, Kieran Holland, Julius Kuti, Santanu Mondal, Dániel Nógrádi, Chik Him Wong

Physics

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

The cut-off effects of the lattice gradient flow - often called Wilson flow - are calculated on a periodic 4-torus at leading order in the gauge coupling. A large class of discretizations is considered which includes all frequently used cases in practice. It is shown how the results lead to a smoother continuum extrapolation for the ß-function of SU(3) gauge theory with N_f = 4 flavors of fermions.

Original language	English (US)
Article number	328
Journal	Proceedings of Science
Volume	Part F130500
State	Published - 2014
Event	32nd International Symposium on Lattice Field Theory, LATTICE 2014 - New York, United States Duration: Jun 23 2014 → Jun 28 2014

All Science Journal Classification (ASJC) codes

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Cite this

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title = "The lattice gradient flow at tree level",

abstract = "The cut-off effects of the lattice gradient flow - often called Wilson flow - are calculated on a periodic 4-torus at leading order in the gauge coupling. A large class of discretizations is considered which includes all frequently used cases in practice. It is shown how the results lead to a smoother continuum extrapolation for the {\ss}-function of SU(3) gauge theory with Nf = 4 flavors of fermions.",

author = "Zolt{\'a}n Fodor and Kieran Holland and Julius Kuti and Santanu Mondal and D{\'a}niel N{\'o}gr{\'a}di and Wong, {Chik Him}",

note = "Funding Information: This work was supported by the DOE under grants DOE-FG03-97ER40546 and DOE-FG02-97ER25308, by the Deutsche Forschungsgemeinschaft grants FO 502/2 and SFB-TR 55 and by the NSF under grants 0704171, 0970137 and 1318220 and by OTKA under the grant OTKA-NF-104034. Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.; 32nd International Symposium on Lattice Field Theory, LATTICE 2014 ; Conference date: 23-06-2014 Through 28-06-2014",

year = "2014",

language = "English (US)",

volume = "Part F130500",

journal = "Proceedings of Science",

issn = "1824-8039",

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TY - JOUR

T1 - The lattice gradient flow at tree level

AU - Fodor, Zoltán

AU - Holland, Kieran

AU - Kuti, Julius

AU - Mondal, Santanu

AU - Nógrádi, Dániel

AU - Wong, Chik Him

N1 - Funding Information: This work was supported by the DOE under grants DOE-FG03-97ER40546 and DOE-FG02-97ER25308, by the Deutsche Forschungsgemeinschaft grants FO 502/2 and SFB-TR 55 and by the NSF under grants 0704171, 0970137 and 1318220 and by OTKA under the grant OTKA-NF-104034. Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2014

Y1 - 2014

N2 - The cut-off effects of the lattice gradient flow - often called Wilson flow - are calculated on a periodic 4-torus at leading order in the gauge coupling. A large class of discretizations is considered which includes all frequently used cases in practice. It is shown how the results lead to a smoother continuum extrapolation for the ß-function of SU(3) gauge theory with Nf = 4 flavors of fermions.

AB - The cut-off effects of the lattice gradient flow - often called Wilson flow - are calculated on a periodic 4-torus at leading order in the gauge coupling. A large class of discretizations is considered which includes all frequently used cases in practice. It is shown how the results lead to a smoother continuum extrapolation for the ß-function of SU(3) gauge theory with Nf = 4 flavors of fermions.

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M3 - Conference article

AN - SCOPUS:85030091478

SN - 1824-8039

VL - Part F130500

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 328

T2 - 32nd International Symposium on Lattice Field Theory, LATTICE 2014

Y2 - 23 June 2014 through 28 June 2014

ER -

The lattice gradient flow at tree level

Abstract

All Science Journal Classification (ASJC) codes

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