The Tunneling Hybrid Monte-Carlo algorithm

dc.creatorGolterman, Maarten
dc.creatorShamir, Yigal
dc.date2007-05-21
dc.date2007-10-09
dc.date.accessioned2026-07-07T10:55:43Z
dc.date.available2026-07-07T10:55:43Z
dc.descriptionThe 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.
dc.descriptionimproved discussion in appendix B, RevTeX, 19 pages
dc.identifierhttps://arxiv.org/abs/0705.2928
dc.identifierhttp://arxiv.org/abs/0705.2928
dc.identifierPhys.Rev.D76:094512,2007
dc.identifierdoi:10.1103/PhysRevD.76.094512
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186170
dc.subjectHigh Energy Physics - Lattice
dc.titleThe Tunneling Hybrid Monte-Carlo algorithm
dc.typetext

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