The Tunneling Hybrid Monte-Carlo algorithm

Date
Authors
Golterman, Maarten
Shamir, Yigal
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
Comment: improved discussion in appendix B, RevTeX, 19 pages
Keywords
High Energy Physics - Lattice
Citation
Collections