Tunnel混合蒙特卡罗算法
The Tunneling Hybrid Monte-Carlo algorithm
摘要：
用于构造畴壁和重叠狄拉克算子的埃尔米特威尔逊核具有非常小的本征值，这使得要达到畴壁费米子的高质量手征对称性或重叠算子的高精度是非常昂贵的。抑制这种本征模的有效方法包括在玻尔兹曼权重中包括威尔逊核的行列式的正幂，但这样做也抑制了拓扑扇区之间的隧穿。在这里，我们提出了一个修改的混合蒙特卡罗算法，其目的是恢复隧道拓扑部门之间的不包括最低本征模的威尔逊内核的分子动力学演化，并纠正这在接受/拒绝步骤。我们讨论的影响，这种修改的接受率。
英文摘要：
The hermitian Wilson kernel used in the construction of the domain-wall and overlap Dirac operators has exceptionally small eigenvalues that make it expensive to reach high-quality chiral symmetry for domain-wall fermions, or high precision in the case of the overlap operator. An efficient way of suppressing such eigenmodes consists of including a positive power of the determinant of the Wilson kernel in the Boltzmann weight, but doing this also suppresses tunneling between topological sectors. Here we propose a modification of the Hybrid Monte-Carlo algorithm which aims to restore tunneling between topological sectors by excluding the lowest eigenmodes of the Wilson kernel from the molecular-dynamics evolution, and correcting for this at the accept/reject step. We discuss the implications of this modification for the acceptance rate.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
