High Energy Physics - Lattice · arXiv:hep-lat/0511006 v1 · submitted 2 Nov 2005
Asymptotic Scaling and Monte Carlo Data
The paper says
“Following this alternative scenario, we fit recent quenched data from different observables to fitting functions that include these cut-off effects, confirming that the lattice data are well reproduced by g_0-PT with the simple addition of terms O(a^n).”
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Abstract
It is a generally known problem that the behaviour predicted from perturbation theory for asymptotically free theories like QCD, i.e. asymptotic scaling, has not been observed in Monte Carlo simulations when the series is expressed in terms of the bare coupling g_0. This discrepancy has been explained in the past with the poor convergence properties of the perturbative series in the g_0. An alternative point of view, called Lattice-Distorted Perturbation Theory proposes that lattice artifacts due to the finiteness of the lattice spacing, a, cause the disagreement between Monte Carlo data and perturbative scaling. Following this alternative scenario, we fit recent quenched data from different observables to fitting functions that include these cut-off effects, confirming that the lattice data are well reproduced by g_0-PT with the simple addition of terms O(a^n).
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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 0.11 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.81 · 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 |
|---|---|---|---|---|
| It is a generally known problem that the behaviour predicted from perturbation theory for asymptotically free theories like QCD, i.e. asymptotic scaling, has not been observed in Monte Carlo simulations when the series is expressed in terms of the bare coupling g_0. | background 0.99 | 0.05 | 0.04 | asserted 1.00 |
| This discrepancy has been explained in the past with the poor convergence properties of the perturbative series in the g_0. | background 0.99 | 0.04 | 0.03 | asserted 0.98 |
| An alternative point of view, called Lattice-Distorted Perturbation Theory proposes that lattice artifacts due to the finiteness of the lattice spacing, a, cause the disagreement between Monte Carlo data and perturbative scaling. | background 0.91 | 0.06 | 0.07 | asserted 0.82 |
| Following this alternative scenario, we fit recent quenched data from different observables to fitting functions that include these cut-off effects, confirming that the lattice data are well reproduced by g_0-PT with the simple addition of terms O(a^n). | result 0.84 | 0.95 | 0.87 | asserted 1.00 |
What kind of paper the classifier reports this is: simulation study 0.60 · evidence from analysis of existing data 0.97
What was examined, and what was not
Sources read
- arXiv listing abstract v1
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- 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
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,777 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
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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.
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