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

We investigate the spectrum of the free Neuberger-Dirac operator DN on the Schrödinger functional (SF). We check that the lowest few eigen-values of the Hermitian operator DN†DN 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 to those of the clover action.