Maximal variance reduction for stochastic propagators with applications to the static quark spectrum

Michael, Christopher; Peisa, J.

doi:10.1103/physrevd.58.034506

Cited by 85 publications

(153 citation statements)

References 27 publications

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“…Dilution schemes We will first discuss results obtained with 220 quenched configurations on a volume V a −4 = 16 4 , with light quark mass am = 0.02 and charm mass am c = 0.04. We will focus on the two particular contributions to eye diagrams shown in the left panels of Figures 6,7.…”

Section: Lma + Svsmentioning

confidence: 99%

“…Refs. [3,4,5,6,7,8,9,10,11,12,13]), but usually a large computational effort and an appropriately chosen dilution scheme are required in order to sufficiently reduce the intrinsic stochastic noise.…”

Section: Introductionmentioning

confidence: 99%

“…Section 4 contains a summary of our findings as well as some concluding remarks. 4 2 All-to-all propagator techniques For a given gauge field, the propagator S(x, y) from lattice site y to x is obtained as the solution of the linear system z c,γ…”

Section: Introductionmentioning

confidence: 99%

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Variance reduction with practical all-to-all lattice propagators

Endress¹,

Peña²,

Sivalingam³

2015

Computer Physics Communications

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Abstract:We discuss all-to-all quark propagator techniques in two (related) contexts within Lattice QCD: the computation of closed quark propagators, and applications to the so-called "eye diagrams" appearing in the computation of non-leptonic kaon decay amplitudes. Combinations of low-mode averaging and diluted stochastic volume sources that yield optimal signal-to-noise ratios for the latter problem are developed. We also apply a recently proposed probing algorithm to compute directly the diagonal of the inverse Dirac operator, and compare its performance with that of stochastic methods. At fixed computational cost the two procedures yield comparable signal-to-noise ratios, but probing has practical advantages which make it a promising tool for a wide range of applications in Lattice

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Section: Lma + Svsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Variance reduction with practical all-to-all lattice propagators

Endress¹,

Peña²,

Sivalingam³

2015

Computer Physics Communications

View full text Add to dashboard Cite

show abstract

“…Such a computation is not feasible. Stochastic techniques have been developed to estimate all-to-all propagators [44]. Various improvements are being developed .…”

Section: Simulation Parametersmentioning

confidence: 99%

Quark transverse charge densities in the from lattice QCD

et al. 2009

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We extend the formalism relating electromagnetic form factors to transverse quark charge densities in the light-front frame to the case of a spin-3/2 baryon and calculate these transverse densities for the ∆(1232) isobar using lattice QCD. The transverse charge densities for a transversely polarized spin-3/2 particle are characterized by monopole, dipole, quadrupole, and octupole patterns representing the structure beyond that of a pure point-like spin-3/2 particle. We present lattice QCD results for the ∆-isobar electromagnetic form factors for pion masses down to approximatively 350 MeV for three cases: quenched QCD, two-degenerate flavors of dynamical Wilson quarks, and three flavors of quarks using a mixed action that combines domain wall valence quarks and dynamical staggered sea quarks. We extract transverse quark charge densities from these lattice results and find that the ∆ is prolately deformed, as indicated by the fact that the quadrupole moment G E2 (0) is larger than the value −3 characterizing a point particle and the fact that the transverse charge density in a ∆ + of maximal transverse spin projection is elongated along the axis of the spin.

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“…A version of a random source technique, called 'maximal variance reduction' [44] is currently in use for light-quark propagators in heavy-light systems [20]. There, sources are spread across the entire lattice, including all time slices.…”

Section: A Random Sourcesmentioning

confidence: 99%