Low-lying Wilson Dirac operator eigenvector mixing in dynamical overlap Hybrid Monte-Carlo
arXiv:0706.1971 · doi:10.1016/j.cpc.2008.09.007
Abstract
Current dynamical overlap fermion hybrid Monte Carlo simulations encounter large fermionic forces when there is mixing between near zero-eigenvectors of the kernel operator. This leads to low acceptance rates when there is a large density of near zero eigenvectors. I present a method where these large forces are eliminated and the large action jumps seen when two eigenvectors approach zero are significantly reduced. This significantly increases the stability of the algorithm, and allows the use of larger integration time steps.
20 Pages, 4 figures; v2 with minor modifications; v3 further minor modifications, as accepted by Computer Physics Communications
References in corpus (17)
- Exactly massless quarks on the lattice
- Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
- Analytic Smearing of SU(3) Link Variables in Lattice QCD
- Chiral Fermions on the Lattice
- Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
- Numerical Methods for the QCD Overlap Operator: I. Sign-Function and Error Bounds
- Exact 2+1 flavour RHMC simulations
- Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
- Lattice gauge action suppressing near-zero modes of H_W
- Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
- Physics issues in simulations with dynamical overlap fermions
- Topology with Dynamical Overlap Fermions
- Numerical Methods for the QCD Overlap Operator IV: Hybrid Monte Carlo
- Computation of the one-loop Symanzik coefficients for the square action
- Topological tunneling with Dynamical overlap fermions
- Current status of Dynamical Overlap project
- Algorithms for dynamical overlap fermions
Cited by in corpus (14)
- Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions in an external magnetic field
- Numerical Methods for the QCD Overlap Operator IV: Hybrid Monte Carlo
- Topology of dynamical lattice configurations including results from dynamical overlap fermions
- The static quark potential from the gauge invariant Abelian decomposition
- Topological tunneling with Dynamical overlap fermions
- The Static Quark Potential from the Gauge Independent Abelian Decomposition
- A renormalisation group derivation of the overlap formulation
- A Ginsparg-Wilson approach to lattice CP symmetry, Weyl and Majoranna fermions, and the Higgs mechanism
- A lattice Dirac operator for QCD with light dynamical quarks
- Dynamical overlap fermions with increased topological tunnelling
- Modifying the molecular dynamics action to increase topological tunnelling rate for dynamical overlap fermions
- Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions
- A further extension to the group of Ginsparg-Wilson (overlap) chiral symmetries
- A Ginsparg-Wilson approach to lattice symmetry