2014/10/30 by Yuko Murakami, Murakami, Yuko, Ken-Ichi Ishikawa +2
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Mechanics and Non-Hermitian Physics #Rare-earth and actinide compounds #Topological Materials and Phenomena #hep-lat
paper · pdf · doi:10.48550/arxiv.1410.8335
7 pages, 4 figures, Contribution to the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA
arxiv created 2014/10/30 · openalex publication_date 2014/10/30 · arxiv updated 2014/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.