莫比乌斯畴壁费米子的薛定谔泛函的构造
A construction of the Schrödinger Functional for Möbius Domain Wall Fermions
摘要：
我们构造了莫比乌斯畴壁费米子（MDWF）的薛定谔泛函（SF）设置。该方法是Takeda提出的标准畴壁费米子的方法的推广。为了满足具有SF边界的格点Dirac算子服从Lüscher普适性论证的要求：具有SF边界条件的格点手征费米子在时间边界上破坏了手征对称性，我们在MDWF算子上施加了关于第五方向的宇称对称性.这种额外的对称性限制了MDWF参数的选择，因此无法应用Zolotarev最佳近似的最佳参数。我们引入了一个修改后的参数集具有第五维奇偶对称性。我们通过观察埃尔米特算子的本征值和Ginsparg-Wilson关系破坏来研究SF边界下的MDWF。我们比较的计算成本与标准的并行计算与SF计划。
英文摘要：
We construct the Schrödinger Functional (SF) setup for the Möbius domain wall fermions (MDWF). The method is an extension of the method proposed by Takeda for the standard domain wall fermion. In order to fulfill the requirement that the lattice Dirac operator with the SF boundary obeys the Lüscher's universality argument: the lattice chiral fermion with the SF boundary condition breaks the chiral symmetry at the temporal boundary, we impose the parity symmetry with respect to the fifth-direction on the MDWF operator. This additional symmetry restricts the choice of the parameter of the MDWF so that the optimal parameter from the Zolotarev optimal approximation cannot be applied. We introduce a modified parameter set having the fifth-dimensional parity symmetry. We investigate the MDWF with the SF boundary by observing eigenvalues of the Hermitian operator and the Ginsparg-Wilson relation violation at the tree-level. We compare the computational cost with that of the standard DWF with the SF scheme.
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