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(a 2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
Department of Physics, University of Cyprus.
Dipartimento di Fisica, Università Roma.
Department of Physics, University of Cyprus.
Department of Physics, University of Cyprus.ORCID iD: 0000-0002-2500-9883
2009 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 10, 064Article in journal (Refereed) Published
Abstract [en]

We calculate corrections to the fermion propagator and to the Green's functions of all fermion bilinear operators of the form , to one-loop in perturbation theory. We employ the Wilson/clover action for fermions and the Symanzik improved action for gluons. The novel aspect of our calculations is that they are carried out to second order in the lattice spacing, (a 2). Consequently, they have addressed a number of new issues, most notably the appearance of loop integrands with strong IR divergences (convergent only beyond 6 dimensions). Such integrands are not present in (a 1) improvement calculations; there, IR divergent terms are seen to have the same structure as in the (a 0) case, by virtue of parity under integration, and they can thus be handled by well-known techniques. We explain how to correctly extract the full (a 2) dependence; in fact, our method is generalizable to any order in a. The (a 2) corrections to the quark propagator and Green's functions computed in this paper are useful to improve the nonperturbative RI-MOM determination of renormalization constants for quark bilinear operators. Our results depend on a large number of parameters: coupling constant, number of colors, lattice spacing, external momentum, clover parameter, Symanzik coefficients, gauge parameter. To make these results most easily accessible to the reader, we have included them in the distribution package of this paper, as an ASCII file named: Oa2results.m; the file is best perused as Mathematica input

Place, publisher, year, edition, pages
2009. Vol. 10, 064
National Category
Other Health Sciences
Research subject
Health Science
Identifiers
URN: urn:nbn:se:ltu:diva-65427DOI: 10.1088/1126-6708/2009/10/064Scopus ID: 2-s2.0-70350759819OAI: oai:DiVA.org:ltu-65427DiVA: diva2:1137228
Available from: 2017-08-30 Created: 2017-08-30 Last updated: 2017-08-30Bibliographically approved

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