English

Rationale for UV-filtered clover fermions

High Energy Physics - Lattice 2009-11-11 v2

Abstract

We study the contributions Sigma_0 and Sigma_1, proportional to a^0 and a^1, to the fermion self-energy in Wilson's formulation of lattice QCD with UV-filtering in the fermion action. We derive results for m_{crit} and the renormalization factors Z_S, Z_P, Z_V, Z_A to 1-loop order in perturbation theory for several filtering recipes (APE, HYP, EXP, HEX), both with and without a clover term. The perturbative series is much better behaved with filtering, in particular tadpole resummation proves irrelevant. Our non-perturbative data for m_{crit} and Z_A/(Z_m*Z_P) show that the combination of filtering and clover improvement efficiently reduces the amount of chiral symmetry breaking -- we find residual masses am_{res}=O(10^{-2}).

Keywords

Cite

@article{arxiv.hep-lat/0607006,
  title  = {Rationale for UV-filtered clover fermions},
  author = {Stefano Capitani and Stephan Durr and Christian Hoelbling},
  journal= {arXiv preprint arXiv:hep-lat/0607006},
  year   = {2009}
}

Comments

25 pages, 4 figures; v2: typo in eqn. (37) fixed [agrees with published version]

R2 v1 2026-07-22T13:16:57.627Z