Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional

dc.creatorTakeda, Shinji
dc.date2007-12-10
dc.date.accessioned2026-07-07T11:39:18Z
dc.date.available2026-07-07T11:39:18Z
dc.descriptionWe investigate the spectrum of the free Neuberger-Dirac operator $\Dov$ on the Schrödinger functional (SF). We check that the lowest few eigen-values of the Hermitian operator $\Dov^†\Dov$ in unit of $L^{-2}$ converge to the continuum limit properly. We also perform a one-loop calculation of the SF coupling, and then check the universality and investigate lattice artifacts of the step scaling function. It turns out that the lattice artifacts for the Neuberger-Dirac operator are comparable in those of the clover action.
dc.description22 pages 5 figures
dc.identifierhttps://arxiv.org/abs/0712.1469
dc.identifierhttp://arxiv.org/abs/0712.1469
dc.identifierNucl.Phys.B796:402-421,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.12.020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199866
dc.subjectHigh Energy Physics - Lattice
dc.titlePerturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional
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