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On the Analytic "Causal" Model for the QCD Running Coupling
High Energy Physics - Phenomenology · Submitted 28 Aug 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This value as well as the $\bar{\alpha}_{an}$ behavior in the whole IR region $Q^2 \leq \Lambda^2$ turns out to be stable with respect to higher loop corrections; %\item~ (iii) Coherence between observed $\bar{\alpha}_s(M_{\tau}^2)$ value and integral information on the IR $\bar{\alpha}_s(Q^2)$ behavior extracted from jet physics.
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The abstract, sentence by sentence
We discuss the model $\bar{\alpha}_{an}(Q^2)$ recently proposed for the QCD running coupling $\bar{\alpha}_s(Q^2)$ in the Euclidean domain on the basis of the "asymptotic-freedom" expression and on causality condition in the form of the $Q^2$-analyticity. The model contains no adjustable parameters and obeys the important features: (i) Finite ghost-free behavior in the "low $Q^2$" region and correspondence with the standard RG-summed UV expressions;%\item~ % (ii) The universal limiting value $\bar{\alpha}_{an}(0)$ expressed only via group symmetry factors. This value as well as the $\bar{\alpha}_{an}$ behavior in the whole IR region $Q^2 \leq \Lambda^2$ turns out to be stable with respect to higher loop corrections; %\item~ (iii) Coherence between observed $\bar{\alpha}_s(M_{\tau}^2)$ value and integral information on the IR $\bar{\alpha}_s(Q^2)$ behavior extracted from jet physics.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss the model $\bar{\alpha}_{an}(Q^2)$ recently proposed for the QCD running coupling $\bar{\alpha}_s(Q^2)$ in the Euclidean domain on the basis of the "asymptotic-freedom" expression and on causality condition in the form of the $Q^2$-analyticity. | contribution 0.80 | 0.64 | 0.08 | asserted 0.78 |
| s1 | The model contains no adjustable parameters and obeys the important features: (i) Finite ghost-free behavior in the "low $Q^2$" region and correspondence with the standard RG-summed UV expressions;%\item~ % (ii) The universal limiting value $\bar{\alpha}_{an}(0)$ expressed only via group symmetry factors. | result 0.70 | 0.68 | 0.24 | asserted 1.00 |
| s2 | This value as well as the $\bar{\alpha}_{an}$ behavior in the whole IR region $Q^2 \leq \Lambda^2$ turns out to be stable with respect to higher loop corrections; %\item~ (iii) Coherence between observed $\bar{\alpha}_s(M_{\tau}^2)$ value and integral information on the IR $\bar{\alpha}_s(Q^2)$ behavior extracted from jet physics. | result 0.99 | 0.85 | 0.28 | asserted 1.00 |
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The paper
Original abstract
We discuss the model $\bar{\alpha}_{an}(Q^2)$ recently proposed for the QCD running coupling $\bar{\alpha}_s(Q^2)$ in the Euclidean domain on the basis of the "asymptotic-freedom" expression and on causality condition in the form of the $Q^2$-analyticity. The model contains no adjustable parameters and obeys the important features: (i) Finite ghost-free behavior in the "low $Q^2$" region and correspondence with the standard RG-summed UV expressions;%\item~ % (ii) The universal limiting value $\bar{\alpha}_{an}(0)$ expressed only via group symmetry factors. This value as well as the $\bar{\alpha}_{an}$ behavior in the whole IR region $Q^2 \leq \Lambda^2$ turns out to be stable with respect to higher loop corrections; %\item~ (iii) Coherence between observed $\bar{\alpha}_s(M_{\tau}^2)$ value and integral information on the IR $\bar{\alpha}_s(Q^2)$ behavior extracted from jet physics.
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States the same result 2 papers
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Being deduced from the standard "asymptotic-freedom" expression by imposing the $Q^2$-analyticity -- without any adjustable parameters -- it obeys nice features: (i) The universal limiting value $\bar{\alpha}_{an}(0)=4\pi /\beta_0 \simeq 1.4$ expressed only via group symmetry factors and independent of experimental estimates on the running coupling $\bar{\alpha}_s(Q^2)$ (of QCD scale parameter $\Lambda$).
Analytic Model for the QCD Running Coupling with Universal $\bar{\alpha}_s(0)$ Value · 0.91
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It does not contain any adjustable parameter and has a finite IR limit $\bar{\alpha}_s(0)$ which depends only on group symmetry factors.
Analytic QCD running coupling with finite IR behaviour and universal ${\bar \alpha}_s(0)$ value · 0.86
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