Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-05-21
Phys.Rev.D76:094512,2007
Physics
High Energy Physics
High Energy Physics - Lattice
improved discussion in appendix B, RevTeX, 19 pages
Scientific paper
10.1103/PhysRevD.76.094512
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.
Golterman Maarten
Shamir Yigal
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