RT Journal Article
T1 Quark propagator and vertex: systematic corrections of hypercubic artifacts from lattice simulations
A1 Boucaud, Ph.
A1 De Soto, F.
A1 Leroy, J. P.
A1 Rodríguez Quintero, José
AB This is the first part of a study of the quark propagator and the vertex function of the vector current on the lattice in theLandau gauge and using both Wilson-clover and overlap actions. In order to be able to identify lattice artifacts and to reachlarge momenta we use a range of lattice spacings. The lattice artifacts turn out to be exceedingly large in this study. Wepresent a new and very efficient method to eliminate the hypercubic (anisotropy) artifacts based on a systematic expansionon hypercubic invariants which are not SO(4) invariant. A simpler version of this method has been used in previous works.This method is shown to be significantly more efficient than the popular “democratic” methods. It can of course be applied tothe lattice simulations of many other physical quantities. The analysis indicates a hierarchy in the size of hypercubic artifacts:overlap larger than clover and propagator larger than vertex function. This pleads for the combined study of propagators andvertex functions via Ward identities.
PB Elsevier
SN 1873-2445
YR 2003
FD 2003-11
LK http://hdl.handle.net/10272/18565
UL http://hdl.handle.net/10272/18565
LA eng
NO Boucaud, P., de Soto, F., Leroy, J. P. ... Rodrı́guez Quintero, J. (2003). Quark propagator and vertex: systematic corrections of hypercubic artifacts from lattice simulations. Physics Letters B, 575(3–4), 256–267. DOI: https://doi.org/10.1016/j.physletb.2003.08.065
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026