Low-lying Wilson Dirac operator eigenvector mixing in dynamical overlap Hybrid Monte-Carlo

Details Low-lying Wilson Dirac operator eigenvector mixing in dynamical overlap Hybrid Monte-Carlo Low-lying Wilson Dirac operator eigenvector mixing in dynamical overlap Hybrid Monte-Carlo

2007-06-13

arxiv.org/abs/0706.1971v3

Comput.Phys.Commun.180:180-191,2009

Physics

High Energy Physics

High Energy Physics - Lattice

20 Pages, 4 figures; v2 with minor modifications; v3 further minor modifications, as accepted by Computer Physics Communicatio

Scientific paper

10.1016/j.cpc.2008.09.007

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.

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