Topological tunneling with Dynamical overlap fermions

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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17 pages; v2 as accepted in computer Physics Communications

Scientific paper

10.1016/j.cpc.2008.09.010

Tunneling between different topological sectors with dynamical chiral fermions is difficult because of a poor mass scaling of the pseudo-fermion estimate of the determinant. For small fermion masses it is virtually impossible using standard methods. However, by projecting out the small Wilson eigenvectors from the overlap operator, and treating the correction determinant exactly, we can significantly increase the rate of topological sector tunneling and reduce substantially the auto-correlation time. We present and compare a number of different approaches, and advocate a method which allows topological tunneling even at low mass with little addition to the computational cost.

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