The lattice gradient flow at tree-level and its improvement

Zoltan Fodor, Kieran Holland, Julius Kuti, Santanu Mondal, Daniel Nogradi, Chik Him Wong

Research output: Contribution to journalArticle

36 Citations (Scopus)


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.

Original languageEnglish
Article number18
Pages (from-to)1-16
Number of pages16
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - Jan 1 2014


  • Lattice Gauge Field Theories
  • Lattice Quantum Field Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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    Fodor, Z., Holland, K., Kuti, J., Mondal, S., Nogradi, D., & Wong, C. H. (2014). The lattice gradient flow at tree-level and its improvement. Journal of High Energy Physics, 2014(9), 1-16. [18].