Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-06-13
Nucl.Phys. B453 (1995) 375-394; Erratum-ibid. B459 (1996) 437-438
Physics
High Energy Physics
High Energy Physics - Lattice
20pages , uuencoded postscript file
Scientific paper
10.1016/0550-3213(95)00427-T
We compare the Hybrid Monte Carlo (HMC) and the Kramers equation algorithms for simulations of QCD with two flavors of dynamical Wilson fermions and gauge group $SU(2)$. The results for the performance of both algorithms are obtained on $6^312$, $12^4$ and $16^4$ lattices at a pion to $\rho$ meson mass ratio of $m_\pi/m_\rho \approx 0.9$. We find that the Kramers equation algorithm gives an equally good performance as the HMC algorithm. We demonstrate that the classical equations of motion used in these algorithms lack reversibility in practical simulations and behave like those of a chaotic dynamical system with a Liapunov exponent $\nu \approx 0.75$.
Jansen Karl
Liu Chuan
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