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Ghost-gluon coupling, power corrections and $\Lambda_{\overline {\rm MS}}$ from twisted-mass lattice QCD at Nf=2
High Energy Physics - Lattice · Submitted 28 May 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The value of $\Lambda_{\overline{MS}}$ is computed from the running of the QCD coupling only after extrapolating to zero dynamical quark mass and after removing a non-perturbative OPE contribution that is assumed to be dominated by the dimension-two $\VEV{A^2}$ gluon condensate.
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The abstract, sentence by sentence
We present results concerning the non-perturbative evaluation of the ghost-gluon running QCD coupling constant from $N_f=2$ twisted-mass lattice calculations. A novel method for calibrating the lattice spacing, independent of the string tension and hadron spectrum is presented with results in agreement with previous estimates. The value of $\Lambda_{\overline{MS}}$ is computed from the running of the QCD coupling only after extrapolating to zero dynamical quark mass and after removing a non-perturbative OPE contribution that is assumed to be dominated by the dimension-two $\VEV{A^2}$ gluon condensate. The effect due to the dynamical quark mass in the determination of $\Lams$ is discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present results concerning the non-perturbative evaluation of the ghost-gluon running QCD coupling constant from $N_f=2$ twisted-mass lattice calculations. | contribution 1.00 | 0.96 | 0.18 | asserted 0.99 |
| s1 | A novel method for calibrating the lattice spacing, independent of the string tension and hadron spectrum is presented with results in agreement with previous estimates. | method 0.57 | 0.94 | 0.11 | asserted 0.98 |
| s2 | The value of $\Lambda_{\overline{MS}}$ is computed from the running of the QCD coupling only after extrapolating to zero dynamical quark mass and after removing a non-perturbative OPE contribution that is assumed to be dominated by the dimension-two $\VEV{A^2}$ gluon condensate. | method 0.91 | 0.92 | 0.48 | asserted 0.94 |
| s3 | The effect due to the dynamical quark mass in the determination of $\Lams$ is discussed. | contribution 0.62 | 0.64 | 0.05 | unclear 0.84 |
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The paper
Original abstract
We present results concerning the non-perturbative evaluation of the ghost-gluon running QCD coupling constant from $N_f=2$ twisted-mass lattice calculations. A novel method for calibrating the lattice spacing, independent of the string tension and hadron spectrum is presented with results in agreement with previous estimates. The value of $\Lambda_{\overline{MS}}$ is computed from the running of the QCD coupling only after extrapolating to zero dynamical quark mass and after removing a non-perturbative OPE contribution that is assumed to be dominated by the dimension-two $\VEV{A^2}$ gluon condensate. The effect due to the dynamical quark mass in the determination of $\Lams$ is discussed.
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References
How the literature uses it
28 arXiv papers cite this in 52 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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The extraction of $\Lambda_{\bar{MS}}$ in the chiral limit reveals the presence of a non-perturbative OPE contribution that is assumed to be dominated by a dimension-two $\VEV{A^2}$ condensate.
Papers citing it · 34 sentences without a confident label
Uses its method or tool 3 papers
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We then use the OPE formalism so that we can relate $α_T(p^2)$ to $α_T^pert(p^2)$ [ref] , including power corrections: $α_T(p^2)= α^pert_T(p^2) [ 1 + C(p,q_0) g^2_T(q_0^2) ⟨A^2 ⟩^R_q_0^2/p^2 + d/p^6 + ⋯]$, with $q_0$ fixed to 10 GeV and $C$ a combination of a Wilson coefficient and a running of the gluonic operator $A^2$.
Lattice measurement of \alpha_s with a realistic charm quark · $α_s$ from numerical simulations · 0.85
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Particularly, it was shown in Ref. [ref] that one way to study the running coupling constant is to study the ghost-ghost-gluon vertex in Landau gauge in the so-called Taylor scheme: [equation] where $F(μ^2, Λ^2)$ and $G(μ^2, Λ^2)$ are the ghost and gluon dressing functions respectively.
RI/MOM renormalization constants (N_f=4) and the strong coupling constant (N_f=2+1+1) from twisted-mass QCD · Running coupling constant for $N_f=2+1+1$ · 0.85
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[ref] to solve ap-diffeqs2.
Renormalisation of quark propagators from twisted-mass lattice QCD at $N_f$=2 · Appendix: The Wilson coefficients at $O(α^4)$ · 0.98
Uses its data or values 3 papers
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Then, for $A_1(q^2)$ we use the SDE result of [ref] , originally renormalized in the so-called “Taylor scheme” [ref] , after rescaling by a factor of $0.933$ [ref] to convert it to the asymmetric MOM scheme; the converted form is shown on the left panel of fig:A1_V9.
Gluon mass scale through the Schwinger mechanism · STI consistency and need for double Schwinger poles · 0.96
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For this purpose we use the value $=0.330 (23) GeV$ [ref] (see also Table [ref]) which is in good agreement with other $N_f=2$ determinations of the same quantity [ref] .
Quark mass and chiral condensate from the Wilson twisted mass lattice quark propagator · Analysis · 0.84
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However, by using the running coupling in the theory with $N_f=2$ flavors, i.e. with $Λ_N_f=2^= 330^+21_-54$ MeV [ref] , our result remains within the error bars obtained before.
Insight into $D/B\to \pi \ell \nu_\ell$ decay using the pole models · Determination of the vector meson decay constants on the lattice · 0.86
Compares with it 2 papers
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If we now wish to compare $g^2(μ) ⟨A^2⟩_R,μ^2$ from the present calculation to that from another calculation, for example from the strong coupling constant [ref] , we must as far as possible use the same precise definition in both cases.
Renormalisation of quark propagators from twisted-mass lattice QCD at $N_f$=2 · Appendix: The Wilson coefficients at $O(α^4)$ · 0.97
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We note that the results ([ref]) and ([ref]) compare well with other determinations of $Λ_MS^(n_f=2)$ from the literature, e.g. [ref] (cf. also the more detailed discussion and graphical summary in [ref] ).
$\Lambda_{\bar{\textrm{MS}}}^{(n_f=2)}$ from a momentum space analysis of the quark-antiquark static potential · Conclusions · 1.00
Cites it as support 1 paper
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The latter is expected to be sizeable because it was seen in the quenched case [ref] , it was seen in the unquenched study of the strong coupling constant [ref] and since the Wilson coefficient of $g^2 A^2$ is not small in $Z_q$ [ref] .
Renormalisation of quark propagators from twisted-mass lattice QCD at $N_f$=2 · Conclusion · 0.98
Cites it as background 7 papers
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The study of operators of dimension two in Yang-Mills theories has already a relatively long history, as confirmed by the considerable amount of results obtained through theoretical and phenomenological studies as well as from lattice simulations [ref] .
On the gauge-invariant operator $A^2_{\min}$ in Euclidean Yang-Mills theories · Introduction · 0.99
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We shall avoid here the discussion of its mere existence (see also [ref] ), but we shall investigate whether our data is contaminated by effects that may effectively look like the gluon condensate.
Quark mass and chiral condensate from the Wilson twisted mass lattice quark propagator · Analysis · 0.89
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We just note that some authors proposed a dependence on the energy scale for this number [ref] .
Infrared behavior of the running coupling in scalar field theory · Numerical results · 0.80
What it cites · 46 sentences without a confident label
Builds on 1 paper
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In the present paper we extend [ref] to the case in which twisted $N_f=2$ dynamical quarks are included in the lattice simulations for several different bare lattice couplings ($β=3.9,4.05,4.2$) and different dynamical quark masses.
Ghost-gluon running coupling, power corrections and the determination of $\Lambda_{\bar {\rm MS}}$ · Introduction · 1.00
Uses the method or tool of 3 papers
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Thus, after some algebra and the appropriate renormalization at the subtraction point $q^2=μ^2$, according to the MOM scheme definition (details of the computation can be found in [ref] ), one gets at tree level
Non-perturbative Power Corrections to Ghost and Gluon Propagators · OPE power corrections · 0.92
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Thus, after some algebra and the appropriate renormalization at the subtraction point $q^2=μ^2$, according to the MOM scheme definition (details of the computation can be found in [ref] ), one gets at tree level
Ghost-gluon running coupling, power corrections and the determination of $\Lambda_{\bar {\rm MS}}$ · OPE power corrections · 0.92
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More details on the lattice procedure for the inversion of Faddeev-Popov operator can be found in [ref] .
Asymptotic behavior of the ghost propagator in SU3 lattice gauge theory · The computation of the gluon and ghost Green functions · 0.91
Uses data or values from 2 papers
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We use the configurations produced by the ETM Collaboration [ref] .
Dynamical Twisted Mass Fermions with Light Quarks: Simulation and Analysis Details · Introduction · 0.96
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[ref] , the lattice spacings result from combined fits including several lattice simulations at different $β$'s, after chiral extrapolations on the quark mass, where the physical scale is fixed by $f_π= 130.7$ MeV.
Light Meson Physics from Maximally Twisted Mass Lattice QCD · Conversion to physical units and quark mass effect · 0.91
Compares with 5 papers
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We may recall here that the quenched results [ref] for $$ are still lower, ranging mainly around 230 MeV.
Ghost-gluon running coupling, power corrections and the determination of $\Lambda_{\bar {\rm MS}}$ · Discussions and conclusions · 0.97
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[ref] and compared them with the ones obtained in this paper in tab.
Light Meson Physics from Maximally Twisted Mass Lattice QCD · Conversion to physical units and quark mass effect · 0.97
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[ref] and the fitted gluon condensate is found to be compatible with the one obtained from the ghost-gluon vertex [ref] .
Artefacts and <A2> power corrections : revisiting the MOM Z_psi and Z_V · Discussions and conclusions · 0.80
Cites as background 14 papers
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These parameters being settled, the lattice calculation of $Λ_QCD$ proceeds in several manners: the implemention of the Schrödiger functional scheme (see, for instance, [ref] and references therein), those based on the perturbative analysis of short-distance sensitive lattice observables as the “boosted” lattice coupling (see for instance [ref] and reference therein) and, in particular, those based on the study of the momentum behaviour of Green functions(see [ref] and references therein) are among the most extendedly applied.
Running alpha(s) from Landau-gauge gluon and ghost correlations · Introduction · 0.97
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These parameters being settled, the lattice calculation of $Λ_QCD$ proceeds in several manners: the implemention of the Schrödiger functional scheme (see, for instance, [ref] and references therein), those based on the perturbative analysis of short-distance sensitive lattice observables as the “boosted” lattice coupling (see for instance [ref] and reference therein) and, in particular, those based on the study of the momentum behaviour of Green functions(see [ref] and references therein) are among the most extendedly applied.
Update: Accurate Determinations of alpha_s from Realistic Lattice QCD · Introduction · 0.97
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These parameters being settled, the lattice calculation of $Λ_QCD$ proceeds in several manners: the implemention of the Schrödiger functional scheme (see, for instance, [ref] and references therein), those based on the perturbative analysis of short-distance sensitive lattice observables as the “boosted” lattice coupling (see for instance [ref] and reference therein) and, in particular, those based on the study of the momentum behaviour of Green functions(see [ref] and references therein) are among the most extendedly applied.
The Realistic Lattice Determination of alpha_s(M_Z) Revisited · Introduction · 0.97
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