The Tunneling Hybrid Monte-Carlo algorithm
arXiv:0705.2928 · doi:10.1103/PhysRevD.76.094512
Abstract
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.
improved discussion in appendix B, RevTeX, 19 pages
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Cited by in corpus (5)
- Two-flavor QCD simulation with exact chiral symmetry
- Topological tunneling with Dynamical overlap fermions
- 2+1 flavour Domain Wall Fermion simulations by the RBC and UKQCD collaborations
- Exploring the chiral regime with dynamical overlap fermions
- Modifying the molecular dynamics action to increase topological tunnelling rate for dynamical overlap fermions