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

C. Michael; J. Peisa; UKQCD Collaboration

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

UKQCD Collaboration, C. Michael, J. Peisa

High Energy Physics - Lattice · Submitted 11 Feb 1998

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that while this method is comparable to usual iterative inversion for light-light mesons, a considerable improvement is achieved for systems containing at least one infinitely heavy quark.

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arXiv IDhep-lat/9802015 (version 1)

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CitationC. Michael, J. Peisa, UKQCD Collaboration. "Maximal variance reduction for stochastic propagators with applications to the static quark spectrum." arXiv:hep-lat/9802015 (1998). https://pith.science/paper/TZDQKYV2

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What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.51 · human participants 0.01 · controlled comparison 0.80 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.95 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We study a new method -- maximal variance reduction -- for reducing the variance of stochastic estimators for quark propagators. We find that while this method is comparable to usual iterative inversion for light-light mesons, a considerable improvement is achieved for systems containing at least one infinitely heavy quark. Such systems are needed for heavy quark effective theory. As an illustration of the effectiveness of the method we present results for the masses of the ground state and excited states of $\bar{Q}q$ mesons and $\bar{Q}qq$ baryons. We compare these results with the experimental spectra involving $b$ quarks.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study a new method -- maximal variance reduction -- for reducing the variance of stochastic estimators for quark propagators.	contribution 0.96	0.82	0.12	asserted 0.92
s1	We find that while this method is comparable to usual iterative inversion for light-light mesons, a considerable improvement is achieved for systems containing at least one infinitely heavy quark.	result 1.00	0.96	0.72	asserted 1.00
s2	Such systems are needed for heavy quark effective theory.	background 0.57	0.07	0.05	asserted 0.99
s3	As an illustration of the effectiveness of the method we present results for the masses of the ground state and excited states of $\bar{Q}q$ mesons and $\bar{Q}qq$ baryons.	contribution 0.49	0.95	0.09	asserted 0.98
s4	We compare these results with the experimental spectra involving $b$ quarks.	contribution 0.45	0.85	0.08	asserted 0.88

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 1.00.

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The paper

Original abstract

We study a new method -- maximal variance reduction -- for reducing the variance of stochastic estimators for quark propagators. We find that while this method is comparable to usual iterative inversion for light-light mesons, a considerable improvement is achieved for systems containing at least one infinitely heavy quark. Such systems are needed for heavy quark effective theory. As an illustration of the effectiveness of the method we present results for the masses of the ground state and excited states of $\bar{Q}q$ mesons and $\bar{Q}qq$ baryons. We compare these results with the experimental spectra involving $b$ quarks.

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References

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Multigrid low-mode averaging
hep-lat 2024-12 conditional novelty 6.0 of 10

A multigrid extension of low-mode averaging keeps the number of Dirac low modes fixed while suppressing stochastic variance on increasingly large lattices.
Charmed bottom baryon spectroscopy from lattice QCD
hep-lat 2014-09 conditional novelty 6.0 of 10

A single lattice-QCD calculation predicts the masses of 22 unmeasured charm and bottom baryons, including every mixed charm-bottom state, after validating its method against the 14 singly heavy baryons that have been ...
Effective noise reduction techniques for disconnected loops in Lattice QCD
hep-lat 2009-10 accept novelty 6.0 of 10

An unbiased truncated-solver decomposition cuts the computer time for stochastic all-to-all quark propagators by about an order of magnitude, and by up to 30x when combined with hopping-parameter expansion and eigenmo...
Static-light meson spectroscopy with optimal distillation profiles
hep-lat 2025-01 conditional novelty 5.0 of 10

Profile-weighted distillation reduces excited-state contamination for static-light and static-charm mesons and yields new spectra and mass splittings on two N_f = 3+1 QCD ensembles.
QCD forces and heavy quark bound states
hep-ph 2000-01 accept novelty 2.0 of 10

A 2000 survey of lattice determinations of the QCD static potential and its excitations, and of how effective field theory turns those potentials into a quarkonium Hamiltonian.

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15 arXiv papers cite this in 25 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 11 sentences without a confident label

Uses its method or tool 3 papers

A precise enough estimate could be obtained, for example, if (i) it is estimated with a simple stochastic estimator, such as the usual one-end trick [ref] and if (ii) the low-mode subspace is large enough so the variance on this term is sufficiently suppressed.

Multigrid low-mode averaging · Low-mode averaging for the current correlator · 0.93
Here we present the construction of appropriate lattice operators to create the states of interest, following [ref] .

The static-light meson spectrum from twisted mass lattice QCD · Static-light meson creation operators on a lattice · 0.98
This allows to form $12 ×12 = 144$ statistical samples, i.e. the number of samples is the square of the number of inversions (cf. [ref] ).

The static-light baryon spectrum from twisted mass lattice QCD · Correlation matrices · 0.81

Cites it as background 9 papers

The spectrum of static-light baryons has been studied by lattice methods in the quenched approximation [ref] and recently also with dynamical sea quarks [ref] .

The spectrum of static-light baryons in twisted mass lattice QCD · Introduction · 0.98
Some of these consider static heavy quarks [ref] using Heavy Quark Effective Theory (HQET) (cf. e.g. [ref] ), while others apply heavy quarks of finite mass [ref] mainly by means of Non-Relativistic QCD (cf. e.g. [ref] ).

The static-light baryon spectrum from twisted mass lattice QCD · Introduction · 0.95
The static-light meson spectrum has been studied comprehensively by lattice methods in the quenched approximation with a rather coarse lattice spacing [ref] .

The continuum limit of the static-light meson spectrum · Introduction · 0.99

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