English

Stout smearing and Wilson flow in lattice perturbation theory

High Energy Physics - Lattice 2024-10-28 v3

Abstract

We present the expansion of stout smearing and the Wilson flow in lattice perturbation theory to order g03g_0^3, which is suitable for one-loop calculations. As the Wilson flow is generated by infinitesimal stout smearing steps, the results are related to each other by taking the appropriate limits. We show how to apply perturbative stout smearing or Wilson flow to the Feynman rules of any lattice fermion action and and illustrate them by calculating the self-energy of the clover-improved Wilson fermion.

Keywords

Cite

@article{arxiv.2406.03493,
  title  = {Stout smearing and Wilson flow in lattice perturbation theory},
  author = {Maximilian Ammer and Stephan Durr},
  journal= {arXiv preprint arXiv:2406.03493},
  year   = {2024}
}

Comments

52 pages, 13 Figures, 12 Tables, Mathematica notebooks in ancillary files (v2: updated ancillary files, partially updated article to match published version) (v3: updated article to match published version)