Large pion pole in Z_{S}^{MOM}/Z_{P}^{MOM} from Wilson action data

Details Large pion pole in Z_{S}^{MOM}/Z_{P}^{MOM} from Wilson action data Large pion pole in Z_{S}^{MOM}/Z_{P}^{MOM} from Wilson action data

2001-01-17

arxiv.org/abs/hep-lat/0101009v2

Phys.Lett. B516 (2001) 92-102

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 5 figures, laTeX, minor corrections of typos, beta dependence made more explicit, added one table giving the contrib

Scientific paper

10.1016/S0370-2693(01)00903-0

We show that, contrarily to recent claims, data from the Wilson (unimproved) fermionic action at three different beta values demonstrate the presence of a large Goldstone boson contribution in the quark pseudoscalar vertex, quantitatively close to our previous estimate based on the SW action with c_{SW}=1.769. We show that discretisation errors on Z_{S}^{MOM}/Z_{P}^{MOM} seem to be much smaller than the Goldstone pole contribution over a very large range of momenta. The subtraction of this non perturbative contribution leads to numbers close to one-loop BPT.

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