Neuberger-Dirac算子在薛定谔泛函中的微扰分析
Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional
摘要：
研究了自由Neuberger-Dirac算子$\Dov$在薛定谔泛函（SF）上的谱.我们检验了以$L^{-2}$为单位的厄米特算子$\Dov^†\Dov$的最低少数特征值是否收敛于连续极限.我们还进行了一个单圈计算的SF耦合，然后检查的普适性和调查的阶梯尺度函数的晶格文物。事实证明，Neuberger-Dirac算子的晶格伪影与三叶草作用量的晶格伪影相当。
英文摘要：
We 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.
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