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Fluctuations and reweighting of the quark determinant on large lattices

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arxiv 0810.0946 v1 pith:AZGM4ZFC submitted 2008-10-06 hep-lat

Martin Lüscher , Filippo Palombi This is my paper · ORCID
classification hep-lat
keywords determinantlargelatticesquarkreweightingcontributionfactorfluctuations
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We propose to stabilise HMC simulations of lattice QCD with very light Wilson quarks by splitting the quark determinant into two factors and by treating the factor that includes the contribution of the low modes of the Dirac operator as a reweighting factor. In general, determinant reweighting becomes inefficient on large lattices, because the statistical fluctuations of quark determinants increase exponentially with the lattice volume. Random matrix theory and some numerical studies now suggest that the low-mode contribution to the determinant behaves differently, which allows factorisations to be devised that preserve the efficiency of the simulation on large lattices.

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  1. The determination of potential scales in 2+1 flavor QCD

    hep-lat 2024-12 conditional novelty 5.0 of 10

    A new lattice QCD determination of the hadronic scales r0 = 0.4729(75) fm and r1 = 0.3127(40) fm in 2+1 flavor QCD, together with r0 Λ_MSbar^(3) = 0.820(28).

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