2022/04/04 by Yuki Nagai, Akio Tomiya, Nagai, Yuki +1
Physics and Astronomy · Computer Science · #Electromagnetic Scattering and Analysis #Matrix Theory and Algorithms #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2204.01583
Chiral symmetry is a key to investigating quantum physics, from condensed matter to particle physics. We propose a novel way of realizing a chiral fermion, known as the overlap-Dirac operator, without explicitly calculating the low modes of the Wilson-Dirac operator. We introduce a projection operator inspired by the Sakurai-Sugiura method and formulate the exact sign function and overlap-Dirac operator with a contour-integral form. Like the Sakurai-Sugiura method, the proposing method is multi-scale parallelizable, which fits the multi-core/multi-GPGPU paradigm. We confirm that the quality of chiral symmetry realized with the proposed method is sufficient for double precision. We evaluate the strong scaling of the proposing method.