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On the low fermionic eigenmode dominance in QCD on the lattice

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arxiv hep-lat/0106016 v2 pith:YYD3WWXP submitted 2001-06-25 hep-lat

H. Neff , N. Eicker , Th. Lippert , J. W. Negele , K. Schilling This is my paper · ORCID
classification hep-lat
keywords chargemassesquarkspectraltopologicalaccessingachievedapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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We demonstrate the utility of a spectral approximation to fermion loop operators using low-lying eigenmodes of the hermitian Dirac-Wilson matrix, Q. The investigation is based on a total of 400 full QCD vacuum configurations, with two degenerate flavors of dynamical Wilson fermions at beta =5.6, at two different sea quark masses. The spectral approach is highly competitive for accessing both topological charge and disconnected diagrams, on large lattices and small quark masses. We propose suitable partial summation techniques that provide sufficient saturation for estimating Tr Q^{-1}, which is related to the topological charge. In the effective mass plot of the eta' meson we achieved a consistent early plateau formation, by ground state projecting the connected piece of its propagator.

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Cited by 5 Pith papers

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  4. The sigma meson ($f_0$) at finite temperature with truncated overlap fermions

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    Dynamical truncated overlap fermions reproduce the expected π–f₀ and ρ–a₁ screening-mass degeneracies above T_pc in two-flavour lattice QCD.

  5. Performance of Low Mode Averaging on Twisted-Mass Fermion Ensembles at the physical pion mass point

    hep-lat 2026-06 unverdicted novelty 4.0 of 10

    Numerical tests show low-mode averaging reduces noise in light meson and baryon observables on physical-pion twisted-mass ensembles, yielding renormalized chiral condensate 269.5(4.5) MeV.

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