Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1998-12-18
Nucl.Phys. B549 (1999) 335-363
Physics
High Energy Physics
High Energy Physics - Lattice
30 pages, 16 figures. Following the referee's suggestions, we have incorporated the material of hep-lat/9803018 in this compre
Scientific paper
10.1016/S0550-3213(99)00113-3
We construct and test a quasi-perfect lattice action for staggered fermions. The construction starts from free fermions, where we suggest a new blocking scheme, which leads to excellent locality of the perfect action. An adequate truncation preserves a high quality of the free action. An Abelian gauge field is inserted in d=2 by effectively tuning the couplings to a few short-ranged lattice paths, based on the behavior of topological zero modes. We simulate the Schwinger model with this action, applying a new variant of Hybrid Monte Carlo, which damps the computational overhead due to the non-standard couplings. We obtain a tiny ``pion'' mass down to very small \beta, while the ``\eta'' mass follows very closely the prediction of asymptotic scaling. The observation that even short-ranged quasi-perfect actions can yield strong improvement is most relevant in view of QCD.
Bietenholz Wolfgang
Dilger Hermann
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