Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional - High Energy Physics - LatticeReport as inadecuate




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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/







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