# Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional - High Energy Physics - Lattice

Abstract: We investigate the spectrum of the free Neuberger-Dirac operator \$\Dov\$ onthe Schr\-odinger functional SF. We check that the lowest few eigen-values ofthe Hermitian operator \$\Dov^{\dag}\Dov\$ in unit of \$L^{-2}\$ converge to thecontinuum limit properly. We also perform a one-loop calculation of the SFcoupling, and then check the universality and investigate lattice artifacts ofthe step scaling function. It turns out that the lattice artifacts for theNeuberger-Dirac operator are comparable in those of the clover action.

Author: Shinji Takeda

Source: https://arxiv.org/