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dc.contributor.authorSINT, STEFANen
dc.date.accessioned2017-01-13T11:16:45Z
dc.date.available2017-01-13T11:16:45Z
dc.date.issued2011en
dc.date.submitted2011en
dc.identifier.citationRubio, P.P., Sint, S., Takeda, S., An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory, Journal of High Energy Physics, 2011, 7, 2011, art. no. 116en
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/78716
dc.descriptionPUBLISHEDen
dc.description.abstractThe set-up of the QCD Schrödinger functional (SF) on the lattice with staggered quarks requires an even number of points L/a in the spatial directions, while the Euclidean time extent of the lattice, T/a, must be odd. Identifying a unique renormalisation scale, L = T, is then only possible up to O(a) lattice artefacts. In this article we study such lattices in the pure SU(3) gauge theory, where we can also compare to the standard set-up. We consider the SF coupling as obtained from the variation of an SU(3) Abelian and spatially constant background field. The O(a) lattice artefacts can be cancelled by the existing O(a) boundary counterterm. However, its coefficient, ct, differs at the tree-level from its standard value, so that one first needs to re-determine the induced background gauge field. The perturbative one-loop correction to the coupling allows to determine ct to one-loop order. A few numerical simulations serve to demonstrate that residual cutoff effects in the step scaling function are small in both cases, T = L ± a and comparable to the standard case with T = L.en
dc.description.sponsorshipWe thank U. Wolff for useful discussions. Much of this work was done while S. T. was at the Humboldt University, partially supported by the SFB T ransregio 9 of the DFG. S. S. acknowledges partial support by the EU under Grant Agre ement number PITN-GA- 2009-238353 (ITN STRONGnet). P. P ́erez-Rubio acknowledge s support by the Spanish Ministery of Education and the DFG SFB/Transregio 55.en
dc.format.extentart. no. 116en
dc.relation.ispartofseriesJournal of High Energy Physicsen
dc.relation.ispartofseries2011en
dc.relation.ispartofseries7en
dc.rightsYen
dc.subjectRenormalization Group Lattice Quantum Field Theoryen
dc.subject.lcshRenormalization Group Lattice Quantum Field Theoryen
dc.titleAn O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theoryen
dc.typeJournal Articleen
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/sintsen
dc.identifier.rssinternalid86740en
dc.identifier.doihttp://dx.doi.org/10.1007/JHEP07(2011)116en
dc.rights.ecaccessrightsopenAccess


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