High Energy Physics - Lattice · arXiv:hep-lat/9610014 v1 · submitted 10 Oct 1996
Lattice Monte Carlo Data versus Perturbation Theory
The paper says
“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.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
Differences between lattice Monte Carlo data and perturbation theory (for example the lack of asymptotic scaling) are usually associated with the `bad' behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order terms in g_0. In this philosophy a new, renormalised coupling g' is defined with the aim of making the higher order coefficients of the perturbative series in g' as small as possible. In this paper an alternative scenario is discussed where lattice artifacts are proposed as the cause of the disagreement between Monte Carlo data and the g_0-perturbative series. 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. Lattice data studied includes the string tension, the hadronic scale r_0, the discrete beta function, M_rho, f_pi and the 1P-1S splitting in charmonium.
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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 0.13 · human participants 0.01 · controlled comparison 0.16 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.89 · 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 |
|---|---|---|---|---|
| Differences between lattice Monte Carlo data and perturbation theory (for example the lack of asymptotic scaling) are usually associated with the `bad' behaviour of the bare lattice coupling g_0 due to the effects of large (and unknown) higher order terms in g_0. | background 1.00 | 0.05 | 0.03 | asserted 0.58 |
| In this philosophy a new, renormalised coupling g' is defined with the aim of making the higher order coefficients of the perturbative series in g' as small as possible. | background 1.00 | 0.09 | 0.04 | asserted 0.95 |
| In this paper an alternative scenario is discussed where lattice artifacts are proposed as the cause of the disagreement between Monte Carlo data and the g_0-perturbative series. | contribution 0.96 | 0.19 | 0.11 | hedged possibility 0.73 |
| 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. | result 1.00 | 0.95 | 0.82 | asserted 1.00 |
| Lattice data studied includes the string tension, the hadronic scale r_0, the discrete beta function, M_rho, f_pi and the 1P-1S splitting in charmonium. | method 0.57 | 0.68 | 0.03 | asserted 0.95 |
What kind of paper the classifier reports this is: position or commentary 0.42 · evidence from analysis of existing data 0.71
What was examined, and what was not
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- 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
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,427 input tokens, $0.0002 reported.
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Cited by 5 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories hep-lat · May 2015
- Fixed Scale Approach to Equation of State in Lattice QCD hep-lat · Sep 2008
- Quarkonium correlators and spectral functions at zero and finite temperature hep-lat · Nov 2006
- Highly improved staggered quarks on anisotropic lattices hep-lat · Jun 2026
- Equation of State in 2+1 Flavor QCD at High Temperatures hep-lat · Oct 2017
How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers whose main result relates to this one's
States the same result 2 papers
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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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We find that this interpretation provides excellent agreement between lattice data and perturbation theory in g_0 corrected for lattice artifacts.
Papers citing it · 1 sentence without a confident label
Uses its method or tool 3 papers
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We have determined the $β$-functions by fitting the data to the following Allton-type Ansätze [ref] .
Update on (2+1+1)-flavor QCD equation of state · Trace anomaly · 0.99
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As in Ref. [ref] we fit $a/r_1$ with an Allton-type form [ref] :
Equation of State in 2+1 Flavor QCD at High Temperatures · Zero temperature calculations · 0.90
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The inverse gradient flow scale is fit with the Allton-type ansatz [ref] : [equation] [equation] where the two-loop beta-function coefficients for the $N_c=3$ pure gauge case are $b_0=11N_c/(48π^2)$ and $b_1=34N_c^2/(768π^4)$.
Highly improved staggered quarks on anisotropic lattices · Gauge anisotropy and lattice spacing tuning · 0.98
Challenges and discussion
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