Polynomial Hybrid Monte Carlo algorithm for lattice QCD with an odd number of flavors

Details Polynomial Hybrid Monte Carlo algorithm for lattice QCD with an odd number of flavors Polynomial Hybrid Monte Carlo algorithm for lattice QCD with an odd number of flavors

2001-12-26

arxiv.org/abs/hep-lat/0112051v2

Phys.Rev.D65:094507,2002

Physics

High Energy Physics

High Energy Physics - Lattice

58 pages, LaTeX2e with RevTeX4, v2: typos corrected, published version

Scientific paper

10.1103/PhysRevD.65.094507

We present a polynomial hybrid Monte Carlo (PHMC) algorithm for lattice QCD with odd numbers of flavors of O(a)-improved Wilson quark action. The algorithm makes use of the non-Hermitian Chebyshev polynomial to approximate the inverse square root of the fermion matrix required for an odd number of flavors. The systematic error from the polynomial approximation is removed by a noisy Metropolis test for which a new method is developed. Investigating the property of our PHMC algorithm in the N_f=2 QCD case, we find that it is as efficient as the conventional HMC algorithm for a moderately large lattice size (16^3 times 48) with intermediate quark masses (m_{PS}/m_V ~ 0.7-0.8). We test our odd-flavor algorithm through extensive simulations of two-flavor QCD treated as an N_f = 1+1 system, and comparing the results with those of the established algorithms for N_f=2 QCD. These tests establish that our PHMC algorithm works on a moderately large lattice size with intermediate quark masses (16^3 times 48, m_{PS}/m_V ~ 0.7-0.8). Finally we experiment with the (2+1)-flavor QCD simulation on small lattices (4^3 times 8 and 8^3 times 16), and confirm the agreement of our results with those obtained with the R algorithm and extrapolated to a zero molecular dynamics step size.

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