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Coupling dependence on lattice spacing and size is estimated analytically at \beta -> \infty region where for a->0 the critical area is shifted in accordance with Callan-Symanzik relation. In considered approximation no trace of critical…

高能物理 - 格点 · 物理学 2007-05-23 Vladimir K. Petrov

We present a new extraction of the effective strong coupling constant \alpha_{s,g_1}(Q^2). The result agrees with a previous determination and extends the measurement of the low and high Q^2 behavior of \alpha_{s,g_1}(Q^2) that was…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Deur , V. Burkert , J. P. Chen , W. Korsch

We estimate the QCD effective charge $\alpha_s$ in the low-energy region by exploiting the conventional meson spectrum within a relativistic quantum-field model based on analytic confinement. The ladder Bethe-Salpeter equation is solved for…

高能物理 - 唯象学 · 物理学 2010-05-25 Gurjav Ganbold

We examine the parametrization of the QCD coupling in the Bethe-Salpeter equations for the hard and Regge processes and determine the argument of alpha_s of the factorized gluon. Our analysis shows that for the hard processes alpha_s =…

高能物理 - 唯象学 · 物理学 2008-09-02 B. I. Ermolaev , S. I. Troyan

If QCD is renormalized by minimal subtraction (MS), at higher orders, the strong coupling constant alpha_s and the quark masses m_q exhibit discontinuities at the flavour thresholds, which are controlled by so-called decoupling constants,…

高能物理 - 唯象学 · 物理学 2007-05-23 B. A. Kniehl

We compute the matching relation for the strong coupling constant within the framework of QCD up to four-loop order. This allows a consistent five-loop running (once the $\beta$ function is available to this order) taking into account…

高能物理 - 唯象学 · 物理学 2009-11-11 Y. Schroder , M. Steinhauser

The QCD effective charge $\alpha_{g_1}(Q)$ is an observable that characterizes the magnitude of the strong interaction. At high momentum $Q$, it coincides with the QCD running coupling $\alpha_{\rm s}(Q)$. At low $Q$, it offers a…

高能物理 - 唯象学 · 物理学 2022-07-11 A. Deur , V. Burkert , J. P. Chen , W. Korsch

We present a new perspective on the study of the behavior of the strong coupling $\alpha_s(Q^2)$ -- the fundamental coupling underlying the interactions between quarks and gluons as described by the Quantum Chromodynamics (QCD) -- in the…

高能物理 - 唯象学 · 物理学 2023-07-13 Tanjona Rabemananjara

The prediction of the strong coupling constant in grand unified theories is reviewed, first in the standard model, then in the supersymmetric version. Various corrections are considered. The predictions in both supergravity-induced and…

高能物理 - 唯象学 · 物理学 2007-05-23 Damien M. Pierce

The semi-analytical $O(\alpha_s^4)$ expression for the renormalization group $\beta$-function in the ${\rm{V}}$-scheme is obtained in the case of the $SU(N_c)$ gauge group. In the process of calculations we use the existing information…

高能物理 - 唯象学 · 物理学 2015-10-13 A. L. Kataev , V. S. Molokoedov

We determine the strong coupling constant $\alpha_s$ from a lattice calculation of vacuum polarization functions (VPF) in three-flavor QCD with dynamical overlap fermions. Fitting lattice data of VPF to the continuum perturbative formula…

高能物理 - 格点 · 物理学 2014-09-05 E. Shintani , S. Aoki , H. Fukaya , S. Hashimoto , T. Kaneko , T. Onogi , N. Yamada

Starting from renormalised Effective Lagrangian, in the presence of an external Chromo-Electric field at finite temperature, the expression for thermal coupling constant ($\alpha = (g^2)/(4 \pi)$) as a function of temperature and external…

高能物理 - 理论 · 物理学 2007-05-23 Avijit K. Ganguly

From a fit to the experimental data on the $b\bar{b}$ fine structure, the two-loop coupling constant is extracted. For the 1P state the fitted value is $\alpha_s(\mu_1) = 0.33 \pm 0.01(exp)\pm 0.02 (th)$ at the scale $\mu_1 = 1.8 \pm 0.1$…

高能物理 - 唯象学 · 物理学 2009-10-31 A. M. Badalian , B. L. G. Bakker

We derive the chiral effective Lagrangian for heavy-light mesons in the heavy quark limit from QCD under proper approximations. The low energy constants in the effective Lagrangian are expressed in terms of the light quark self-energy. With…

高能物理 - 唯象学 · 物理学 2020-09-02 Qing-Sen Chen , Hui-Feng Fu , Yong-Liang Ma , Qing Wang

QCD running coupling constant $\alpha_s(m_c)$ and $\alpha_s(m_b)$ are determined from heavy quarkonia $c\overline{c}$ and $b\overline{b}$ decays. The decay rates of $V\rightarrow 3g$ and $V\rightarrow e^+ e^-$ for $V=J/\psi$ and $\Upsilon$…

高能物理 - 唯象学 · 物理学 2011-01-27 K. T. Chao , H. W. Huang , Y. Q. Liu

We make a critical analysis on the free parameters of the Cornell potential $-4\alpha_{s}/3r+br+c$ and provide a parameterisation space for the strong coupling constant $\alpha_{s}$ and the constant shift $c$ for choosing linear part as…

高能物理 - 唯象学 · 物理学 2022-12-06 Krishna Kingkar Pathak , Satyadeep Bhattacharya , Tapashi Das

We present analytical results for the QCD $\beta$-function extended to the gaugeless limit of the unbroken phase of the Standard Model at four-loop level. Apart from the strong coupling itself we include the top-Yukawa contribution and the…

高能物理 - 唯象学 · 物理学 2017-07-25 M. F. Zoller

In this article, we calculate the strong coupling constant $g_{\Delta N\pi}$ and study the strong decay $\Delta^{++} \to p\pi$ with the light-cone QCD sum rules. The numerical value of the strong coupling constant $g_{\Delta N\pi}$ is…

高能物理 - 唯象学 · 物理学 2008-12-18 Zhi-Gang Wang

The strong coupling limit ($\beta_{gauge}=0$) of lattice QCD with staggered fermions enjoys the same non-perturbative properties as continuum QCD, namely confinement and chiral symmetry breaking. In contrast to the situation at weak…

高能物理 - 格点 · 物理学 2010-01-21 M. Fromm , Ph. de Forcrand

Using Mandelstam's approximation to the gluon Dyson-Schwinger equation we calculate the gluon self-energy in a renormalisation group invariant fashion. We obtain a non-perturbative $\beta $ function. The scaling behaviour near the…

高能物理 - 唯象学 · 物理学 2007-05-23 R. Alkofer , A. Hauck , L. von Smekal