Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-12-20
Phys.Rev.D66:014501,2002
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages, 6 figures; V2 contains major revision of the introduction and motivation sections. Conclusion and results unchanged
Scientific paper
10.1103/PhysRevD.66.014501
Numerical evaluation of the overlap Dirac operator is difficult since it contains the sign function $\epsilon(H_w)$ of the Hermitian Wilson-Dirac operator $H_w$ with a negative mass term. The problems are due to $H_w$ having very small eigenvalues on the equilibrium background configurations generated in current day Monte Carlo simulations. Since these are a consequence of the lattice discretisation and do not occur in the continuum version of the operator, we investigate in this paper to what extent the numerical evaluation of the overlap can be accelerated by making the Wilson-Dirac operator more continuum-like. Specifically, we study the effect of including the clover term in the Wilson-Dirac operator and smearing the link variables in the irrelevant terms. In doing so, we have obtained a factor of two speedup by moving from the Wilson action to a FLIC (Fat Link Irrelevant Clover) action as the overlap kernel.
Adams Danielle
Kamleh Waseem
Leinweber Derek B. .
Williams Anthony G.
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