TY - JOUR
T1 - The gradient flow running coupling scheme
AU - Fodor, Zoltán
AU - Holland, Kieran
AU - Kuti, Julius
AU - Nógrádi, Dániel
AU - Wong, Chik Him
N1 - Funding Information:
The work presented here was supported by the DOE under grant DE-FG02-90ER40546, by the NSF under grants 0704171 and 0970137, by the EU Framework Programme 7 grant (FP7/2007-2013)/ERC No 208740, and by the Deutsche Forschungsgemeinschaft grant SFB-TR 55. Computations were performed on the GPU clusters at the Eotvos University in Budapest, Hungary and the University of Wuppertal, Germany using the CUDA port of the code [15]. Kalman Szabo and Sandor Katz are gratefully acknowledged for code development. KH wishes to thank the Institute for Theoretical Physics and the Albert Einstein Center for Fundamental Physics at Bern University for their support. DN would like to thank Kalman Szabo for suggesting to look into [2] for possible applications and especially Pierre van Baal for very useful discussions. KH and JK wish to thank the Galileo Galilei Institute for Theoretical Physics and INFN for their hospitality and support at the workshop "New Frontiers in Lattice Gauge Theories". We also wish to thank Martin
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85030104665&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85030104665&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85030104665
SN - 1824-8039
VL - Part F130497
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 045
T2 - 30th International Symposium on Lattice Field Theory, Lattice 2012
Y2 - 24 June 2012 through 29 June 2012
ER -