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

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

2007-12-10

arxiv.org/abs/0712.1469v1

Nucl.Phys.B796:402-421,2008

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages 5 figures

Scientific paper

10.1016/j.nuclphysb.2007.12.020

We investigate the spectrum of the free Neuberger-Dirac operator $\Dov$ on the Schr\"odinger functional (SF). We check that the lowest few eigen-values of the Hermitian operator $\Dov^{\dag}\Dov$ 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.

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