Abstract:The Wilson fermion determinant can be written as product of the determinants of two hermitian positive definite matrices. This formulation allows to simulate non-degenerate quark flavors by means of the hybrid Monte Carlo algorithm. A major numerical difficulty is the occurrence of nested inversions. We construct a Uzawa iteration scheme which treats the nested system within one iterative process.
Recent progress in unquenched lattice QCD simulations is reviewed with
emphasis on understanding of chiral behavior for light quark masses.Comment: 14 pages, 12 figures, Lattice 2004 (plenary) Fermilab, June 21-26,
200
Recent progress in unquenched lattice QCD simulations is reviewed with
emphasis on understanding of chiral behavior for light quark masses.Comment: 14 pages, 12 figures, Lattice 2004 (plenary) Fermilab, June 21-26,
200
Simulations of odd flavors QCD can be performed in the framework of the hybrid Monte Carlo algorithm where the inverse of the fermion matrix is approximated by a polynomial. In this exploratory study we perform three flavors QCD simulations. We make a comparison of the hybrid Monte Carlo algorithm and the R-algorithm which also simulates odd flavors systems but has step-size errors. We find that results from our hybrid Monte Carlo algorithm are in agreement with those from the R-algorithm obtained at very small step-size.
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