TY - JOUR
T1 - The lattice gradient flow at tree-level and its improvement
AU - Fodor, Zoltan
AU - Holland, Kieran
AU - Kuti, Julius
AU - Mondal, Santanu
AU - Nogradi, Daniel
AU - Wong, Chik Him
N1 - Publisher Copyright:
© 2014, The Author(s).
PY - 2014
Y1 - 2014
N2 - Abstract: The Yang-Mills gradient flow and the observable 〈E(t)〉, defined by the square of the field strength tensor at t > 0, are calculated at finite lattice spacing and tree-level in the gauge coupling. Improvement of the flow, the gauge action and the observable are all considered. The results are relevant for two purposes. First, the discretization of the flow, gauge action and observable can be chosen in such a way that O(a2), O(a4) or even O(a6) improvement is achieved. Second, simulation results using arbitrary discretizations can be tree-level improved by the perturbatively calculated correction factor normalized to one in the continuum limit.
AB - Abstract: The Yang-Mills gradient flow and the observable 〈E(t)〉, defined by the square of the field strength tensor at t > 0, are calculated at finite lattice spacing and tree-level in the gauge coupling. Improvement of the flow, the gauge action and the observable are all considered. The results are relevant for two purposes. First, the discretization of the flow, gauge action and observable can be chosen in such a way that O(a2), O(a4) or even O(a6) improvement is achieved. Second, simulation results using arbitrary discretizations can be tree-level improved by the perturbatively calculated correction factor normalized to one in the continuum limit.
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U2 - 10.1007/JHEP09(2014)018
DO - 10.1007/JHEP09(2014)018
M3 - Article
AN - SCOPUS:84914156476
SN - 1126-6708
VL - 2014
SP - 1
EP - 16
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 9
M1 - 18
ER -