Lattice QCD on Small Computers

G. Hockney; G.P. Lepage; M. Alford; P.B.Mackenzie; W. Dimm

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Lattice QCD on Small Computers

M. Alford, W. Dimm, G.P. Lepage, G. Hockney, P.B.Mackenzie

High Energy Physics - Lattice · Submitted 7 Jul 1995

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

The authors' main claim We demonstrate that lattice QCD calculations can be made $10^3$--$10^6$ times faster by using very coarse lattices.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.12 · randomized assignment 0.01 · states quantitative result 0.94 · compares with prior results 0.49 · mentions code or data availability 0.03.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We demonstrate that lattice QCD calculations can be made $10^3$--$10^6$ times faster by using very coarse lattices. To obtain accurate results, we replace the standard lattice actions by perturbatively-improved actions with tadpole-improved correction terms that remove the leading errors due to the lattice. To illustrate the power of this approach, we calculate the static-quark potential, and the charmonium spectrum and wavefunctions using a desktop computer. We obtain accurate results that are independent of the lattice spacing and agree well with experiment.

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 demonstrate that lattice QCD calculations can be made $10^3$--$10^6$ times faster by using very coarse lattices.	result 0.67	0.87	0.84	asserted 1.00
s1	To obtain accurate results, we replace the standard lattice actions by perturbatively-improved actions with tadpole-improved correction terms that remove the leading errors due to the lattice.	method 0.99	0.80	0.07	asserted 0.99
s2	To illustrate the power of this approach, we calculate the static-quark potential, and the charmonium spectrum and wavefunctions using a desktop computer.	contribution 0.80	0.96	0.08	asserted 0.97
s3	We obtain accurate results that are independent of the lattice spacing and agree well with experiment.	result 1.00	0.96	0.44	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.74 · evidence from simulation or computation 1.00.

What was examined, and what was not

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arXiv listing abstract v3

not examined

full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We demonstrate that lattice QCD calculations can be made $10^3$--$10^6$ times faster by using very coarse lattices. To obtain accurate results, we replace the standard lattice actions by perturbatively-improved actions with tadpole-improved correction terms that remove the leading errors due to the lattice. To illustrate the power of this approach, we calculate the static-quark potential, and the charmonium spectrum and wavefunctions using a desktop computer. We obtain accurate results that are independent of the lattice spacing and agree well with experiment.

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References

Forward citations

Cited by 11 Pith papers

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

Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants
hep-lat 2026-03 conditional novelty 6.0 of 10

A dynamical charm quark does not measurably change light-hadron masses or decay constants, and a clover-on-HISQ mixed action reduces O(a^2) discretization errors in the continuum limit.
Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Complete short and intermediate windows
hep-lat 2024-11 conditional novelty 6.0 of 10

The complete short- and intermediate-distance hadronic vacuum polarization contributions to the muon g-2 are computed on the lattice with 0.31% and 0.36% total errors.
A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
quant-ph 2021-01 conditional novelty 6.0 of 10

Representing SU(3) Yang-Mills on a lattice of color irreps with vertex gauge space integrated out yields a scalable quantum-simulation framework, demonstrated on one- and two-plaquette systems on superconducting hardware.
Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
hep-lat 2018-02 conditional novelty 6.0 of 10

A lattice-QCD calculation using a new heavy-quark effective theory method with minimal renormalon subtraction yields the most precise determinations to date of the strange, charm, and bottom quark masses and their ratios.
Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)
hep-lat 2012-08 conditional novelty 6.0 of 10

Full-QCD lattice scattering lengths, extrapolated with unitarized chiral perturbation theory, produce a DK bound-state pole near 2317 MeV and a revised D_s0*(2317) to D_s pi width of about 133 keV.

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The B -> pi l nu semileptonic form factor from three-flavor lattice QCD: A model-independent determination of |V(ub)|
hep-lat 2008-11 conditional novelty 6.0 of 10

A combined lattice-QCD and BABAR analysis yields |Vub| = 3.38 ± 0.36 × 10⁻³ using a model-independent z-expansion fit, the first such determination to include a continuum extrapolation.
Unquenched determination of the kaon parameter B_K from improved staggered fermions
hep-lat 2006-03 conditional novelty 6.0 of 10

A first unquenched lattice QCD computation of B_K with improved staggered fermions gives \hat B_K = 0.83 ± 0.18, dominated by perturbative matching uncertainty.
$B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
hep-lat 2017-12 accept novelty 5.0 of 10

Four-flavor lattice QCD with HISQ quarks at spacings down to 0.03 fm gives f_Bs = 230.7(1.3) MeV and f_B+ = 189.4(1.4) MeV, roughly three times more precise than previous determinations.
Towards the glueball spectrum from unquenched lattice QCD
hep-lat 2012-08 conditional novelty 5.0 of 10

Unquenched lattice QCD masses for ten glueball channels agree broadly with quenched results, with no evidence for large sea-quark effects at a single lattice spacing and a pion mass of 360 MeV.
Theta dependence of SU(N) gauge theories in the presence of a topological term
hep-th 2008-03 accept novelty 2.0 of 10

Lattice measurements of the topological susceptibility and its theta-expansion coefficients in SU(N) gauge theory agree with large-N scaling and the Witten-Veneziano explanation of the U(1)_A problem.
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.

How the literature uses it

20 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 · 13 sentences without a confident label

Uses its method or tool 8 papers

We have generated configurations using Lüscher-Weiss gauge action [ref] and nHYP-smeared clover fermions [ref] with two mass-degenerate quark flavors ($N_f=2$).

Rho resonance parameters from lattice QCD · Results · 0.99
We further introduce the $d_aα_s^π$ term in the $f_π$ (and also $d_aα_s^K$ in $f_K$) to capture the residual $aα_s$ correction after the $O(m_qa)$ effect is eliminated using the quark mass dependent vector current normalization [ref] , and the value of $α_s$ is approximated using the relation $α^u_0_s≡-4/3.06839 logu_0$ for the Symanzik gauge action [ref] .

Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants · Simulation setup · 0.92
Implementing the improvements above and using tree-level tadpole improvement in the perturbative expressions [ref] , we use $c_E = c_B = u_0^-3$.

Tuning Fermilab Heavy Quarks in 2+1 Flavor Lattice QCD with Application to Hyperfine Splittings · Meson Correlation Functions · 0.98

Uses its data or values 1 paper

We use 24 ensembles generated by the MILC Collaboration [ref] with four flavors of sea quarks using the highly-improved staggered quark (HISQ) action [ref] and a one-loop [ref] tadpole-improved [ref] Symanzik-improved gauge action [ref] .

Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD · Introduction · 0.81

Compares with it 1 paper

Then, to go beyond tree-level, in Sec. [ref] nonperturbative bottomonium results obtained from the RBC/UKQCD ensembles (using the Iwasaki gluon action) and from the MILC ensembles [ref] (using the tadpole-improved one-loop Lüscher-Weisz action [ref] ) are compared.

Bottomonium spectrum at order v^6 from domain-wall lattice QCD: precise results for hyperfine splittings · Gluon discretization errors · 0.84

Cites it as support 1 paper

This action has excellent rotational invariance properties in the static quark potential even on coarse lattices [ref] .

Setting the scale for nHYP fermions with the L\"uscher-Weisz gauge action · Action · 0.96

Cites it as background 1 paper

The systematic computation of these coefficients is known as the Symanzik improvement program [ref] , which in the case of SU(3) gauge theory has been implemented both perturbatively [ref] and non-perturbatively [ref] .

Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes · Lattice QCD · 0.86

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