论文标题
广泛可行的手性费米恩
Extensively parallelizable chiral fermion
论文作者
论文摘要
手性对称性是研究量子物理学的关键，从凝结物物理学到粒子物理。我们提出了一种实现手性费米的新方法，即被称为重叠式操作员，而无需明确计算Wilson-Dirac操作员的低模式。我们介绍了一个受Sakurai-Sugiura方法启发的投影操作员，并以轮廓融合形式制定了确切的符号函数和重叠 - 迪拉克运算符。像樱丽 - 苏吉拉法一样，提出的方法是可行的多尺度，它适合多核/多型GPGPU范式。我们确认用提出的方法实现的手性对称性质量足以双重精度。我们评估了提出方法的强尺度。
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.
