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

Abstract

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.

arXiv comment12 pages, 5 figures, laTeX, minor corrections of typos, beta dependence made more explicit, added one table giving the contribution of the Goldstone vs. the discretisation errors at ap=1

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Cited by in corpus (11)

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• Step Scaling with off-shell renormalisation
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Artefacts and <A2> power corrections : revisiting the MOM Z_psi and Z_V
• Quark propagator and vertex: systematic corrections of hypercubic artifacts from lattice simulations
• Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator
• Preliminary Calculation of ${\alpha }_s$ from Green Functions with Dynamical Quarks
• Renormalization of Bilinear Quark Operators for Overlap Fermions
• Renormalization factors of quark bilinears using the DCI operator with dynamical quarks