Rationale for UV-filtered clover fermions
Author(s) -
Stefano Capitani,
Stephan Dürr,
Christian Hoelbling
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/11/028
Subject(s) - resummation , fermion , physics , renormalization , particle physics , tadpole (physics) , sigma , mathematical physics , lattice (music) , chiral perturbation theory , residual , quantum chromodynamics , perturbation theory (quantum mechanics) , lattice qcd , quantum mechanics , mathematics , algorithm , acoustics
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 withUV-filtering in the fermion action. We derive results for m_{crit} and therenormalization factors Z_S, Z_P, Z_V, Z_A to 1-loop order in perturbationtheory for several filtering recipes (APE, HYP, EXP, HEX), both with andwithout a clover term. The perturbative series is much better behaved withfiltering, in particular tadpole resummation proves irrelevant. Ournon-perturbative data for m_{crit} and Z_A/(Z_m*Z_P) show that the combinationof filtering and clover improvement efficiently reduces the amount of chiralsymmetry breaking -- we find residual masses am_{res}=O(10^{-2}).Comment: 25 pages, 4 figures; v2: typo in eqn. (37) fixed [agrees with published version
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