Abstract
We propose a Monte Carlo algorithm which accommodates an unbiased stochastic estimates of the fermion determinant and is exact. This is achieved by adopting the Metropolis accept/reject steps for the update of both the dynamical and noise configurations. We demonstrate how this algorithm works even for large noises. We also discuss the Padé - Z2estimates of the fermion determinant as a practical way of estimating the Trln of the fermion matrix.
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Liu, KF. (2000). A Noisy Monte Carlo Algorithm with Fermion Determinant. In: Frommer, A., Lippert, T., Medeke, B., Schilling, K. (eds) Numerical Challenges in Lattice Quantum Chromodynamics. Lecture Notes in Computational Science and Engineering, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58333-9_11
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DOI: https://doi.org/10.1007/978-3-642-58333-9_11
Publisher Name: Springer, Berlin, Heidelberg
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