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arXiv · 1601.04587

Domain decomposition, multi-level integration and exponential noise reduction in lattice QCD

Marco Cè·Leonardo Giusti·Stefan Schaefer
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Abstract

We explore the possibility of computing fermionic correlators on the lattice by combining a domain decomposition with a multi-level integration scheme. The quark propagator is expanded in series of terms with a well defined hierarchical structure. The higher the order of a term, the (exponentially) smaller its magnitude, the less local is its dependence on the gauge field. Once inserted in a Wick contraction, the gauge-field dependence of the terms in the resulting series can be factorized so that it is suitable for multi-level Monte Carlo integration. We test the strategy in quenched QCD by computing the disconnected correlator of two flavor-diagonal pseudoscalar densities, and a nucleon two-point function. In either cases we observe a significant exponential increase of the signal-to-noise ratio.

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Marco Cè, Leonardo Giusti, Stefan Schaefer. 2016-01-18. Domain decomposition, multi-level integration and exponential noise reduction in lattice QCD. https://doi.org/10.1103/physrevd.93.094507

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