High Energy Physics - Lattice · arXiv:hep-lat/9610016 v1 · submitted 15 Oct 1996
Lattice Monte Carlo Data versus Perturbation Theory
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“We find that this interpretation provides excellent agreement between lattice data and perturbation theory in g_0 corrected for lattice artifacts.”
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Abstract
The differences between lattice Monte Carlo data and perturbation theory are usually associated with the “bad” behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order coefficients in the g_0 perturbative series. In this philosophy a new, renormalised coupling g' is defined with the aim of reducing the higher order coefficients of the perturbative series in g'. An improvement in the agreement between lattice data and this new perturbation series is generally observed. In this paper an alternative scenario is discussed where lattice artifacts are proposed as the cause of the disagreement between lattice data and the g_0-perturbative series. We find that this interpretation provides excellent agreement between lattice data and perturbation theory in g_0 corrected for lattice artifacts. We show that this viewpoint leads typically to an order of magnitude improvement in the agreement between lattice data and perturbation theory, compared to typical g' perturbation expansions. The success of this procedure leads to a determination of Lambda_MSbar^N_f=0 of 220 +- 20 MeV. Lattice data studied includes quenched values of the string tension, the hadronic scale r_0, the discrete beta function Delta\beta, M_rho, f_pi and the 1P-1S splitting in charmonium. The new 3-loop term of the lattice beta- function has been incorporated in this study. A discussion of the implication of this result for lattice calculations is presented.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.43 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.96 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| The differences between lattice Monte Carlo data and perturbation theory are usually associated with the ``bad'' behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order coefficients in the g_0 perturbative series. | background 1.00 | 0.05 | 0.03 | asserted 0.77 |
| In this philosophy a new, renormalised coupling g' is defined with the aim of reducing the higher order coefficients of the perturbative series in g'. | background 0.99 | 0.09 | 0.02 | asserted 0.97 |
| An improvement in the agreement between lattice data and this new perturbation series is generally observed. | background 0.96 | 0.12 | 0.04 | asserted 0.78 |
| In this paper an alternative scenario is discussed where lattice artifacts are proposed as the cause of the disagreement between lattice data and the g_0-perturbative series. | contribution 0.93 | 0.24 | 0.09 | hedged possibility 0.78 |
| We find that this interpretation provides excellent agreement between lattice data and perturbation theory in g_0 corrected for lattice artifacts. | result 0.99 | 0.96 | 0.60 | asserted 1.00 |
| We show that this viewpoint leads typically to an order of magnitude improvement in the agreement between lattice data and perturbation theory, compared to typical g' perturbation expansions. | result 0.99 | 0.91 | 0.31 | asserted 0.94 |
| The success of this procedure leads to a determination of Lambda_MSbar^{N_f=0} of 220 +- 20 MeV. | result 1.00 | 0.93 | 0.23 | asserted 1.00 |
| Lattice data studied includes quenched values of the string tension, the hadronic scale r_0, the discrete beta function Delta\beta, M_rho, f_pi and the 1P-1S splitting in charmonium. | method 0.69 | 0.70 | 0.03 | asserted 0.98 |
| The new 3-loop term of the lattice beta- function has been incorporated in this study. | method 0.76 | 0.62 | 0.02 | asserted 1.00 |
| A discussion of the implication of this result for lattice calculations is presented. | interpretation 0.86 | 0.59 | 0.03 | unclear 0.75 |
What kind of paper the classifier reports this is: simulation study 0.62 · evidence from simulation or computation 0.57
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 7,601 input tokens, $0.0003 reported.
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Cited by 10 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- The QCD thermal phase transition in the presence of a small chemical potential hep-lat · Apr 2002
- $B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond hep-lat · Feb 2016
- Continuum Thermodynamics of the GluoN_c Plasma hep-lat · Jun 2010
- QCD Thermodynamics with Three Flavors of Improved Staggered Quarks hep-lat · May 2004
- The Equation of State for Two Flavor QCD at Non-zero Chemical Potential hep-lat · May 2003
- SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology hep-lat · Jun 2021
- Short-distance matrix elements for $D^0$-meson mixing for $N_f=2+1$ lattice QCD hep-lat · Jun 2017
- Kaon semileptonic vector form factor and determination of |V_{us}| using staggered fermions hep-lat · Dec 2012
- B- and D-meson decay constants from three-flavor lattice QCD hep-lat · Dec 2011
- Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD hep-lat · Dec 2010
How the literature uses it
7 arXiv papers cite this in 7 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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We find that with the addition of a lattice artifact term, the usual asymptotic scaling expression in g_0 is in excellent agreement with Monte Carlo data.
Papers citing it
Uses its method or tool 6 papers
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The relative lattice scale is determined by calculating $r_1/a$ on each ensemble, where $r_1$ is related to the force between static quarks, $r_1^2F(r_1)=1.0$ [ref] . latticeAndValenceDetails lists $r_1/a$ values for each of the ensembles that result from fitting the calculated $r_1/a$ to a smooth function [ref] , as explained in Eqs. (115) and (116) of Ref. [ref] .
B- and D-meson decay constants from three-flavor lattice QCD · Parameters · 0.99
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For this we used an ansatz originally suggested in Ref. [ref] .
Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD · Computational details and numerical results · 0.94
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This is achieved by fitting $T/√(σ)$ using the ansatz suggested in [ref] within the range of $β∈[5.6,6.5]$ and extrapolating to our relevant region of $β∈[6.8,7.8]$.
Continuum extrapolation of finite temperature meson correlation functions in quenched lattice QCD · Computational Details · 0.93
Uses its data or values 1 paper
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The values of $r_1/a$ are correlated between ensembles because they are obtained from a fit of the data on all MILC asqtad ensembles to a smooth function of the coupling $β$ [ref] of Appendix [ref].
Short-distance matrix elements for $D^0$-meson mixing for $N_f=2+1$ lattice QCD · Constrained fit parameters · 0.87
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