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Related papers: Beta-Function Dependence on Running Coupling in Ho…

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We consider the running coupling constant in holographic models supported by Einstein-dilaton-Maxwell action for heavy and light quarks. To obtain the dependence of the running coupling constant $\alpha$ on temperature and chemical…

High Energy Physics - Theory · Physics 2025-03-12 Irina Ya. Aref'eva , Ali Hajilou , Pavel Slepov , Marina Usova

In a previous paper [arXiv:2402.14512v3], we investigated the dependence of the running coupling constant on temperature and chemical potential for holographic models of the light and heavy quarks, supported by an Einstein-dilaton-Maxwell…

High Energy Physics - Theory · Physics 2025-03-13 Irina Ya. Aref'eva , Ali Hajilou , Pavel Slepov , Marina Usova

We consider running coupling constant in holographic model with external magnetic field supported by Einstein-dilaton-three-Maxwell action. We obtain a significant dependence of the running coupling constant $\alpha$ on chemical potential,…

High Energy Physics - Theory · Physics 2024-11-01 Irina Ya. Aref'eva , Ali Hajilou , Alexander Nikolaev , Pavel Slepov

We investigate the influence of a magnetic field on the running coupling constant for a heavy-quark model in a bottom-up holographic approach. To achieve this, we employ a magnetized Einstein-Maxwell-dilaton background that captures the…

High Energy Physics - Theory · Physics 2025-06-10 Irina Ya. Aref'eva , Ali Hajilou , Alexander Nikolaev , Pavel Slepov

Through a holographic model of QCD, we present a phenomenological approach to study the running of the strong coupling constant $\alpha_s$ in both non-perturbative and perturbative regimes. The renormalization of the metric tensor, driven…

High Energy Physics - Phenomenology · Physics 2025-09-22 Héctor Cancio , Pere Masjuan

We analytically compute the five-loop term in the beta function which governs the running of $\alpha_s$ --- the quark-gluon coupling constant in QCD. The new term leads to a reduction of the theory uncertainty in $\alpha_s$ taken at the…

High Energy Physics - Phenomenology · Physics 2017-03-01 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

The light-front holographic mapping of classical gravity in AdS space, modified by a positive-sign dilaton background, leads to a nonperturbative effective coupling $\alpha_s^{AdS}(Q^2)$. It agrees with hadron physics data extracted from…

High Energy Physics - Phenomenology · Physics 2014-11-20 Stanley J. Brodsky , Guy F. de Téramond , Alexandre Deur

In this paper, we investigate the Quantum Chromodynamics (QCD)-like running coupling, $\alpha_s^{AdS}(Q^{2})$, and its associated $\beta$-function within a tachyonic Anti-de Sitter (AdS)/QCD framework. The $\text{AdS}_5$ bulk geometry is…

High Energy Physics - Phenomenology · Physics 2026-04-16 Adamu Issifu , Elijah A. Abbey , Francisco A. Brito

We construct general models for holographic superconductivity parametrized by three couplings which are functions of a real scalar field and show that under general assumptions they describe superconducting phase transitions. While some…

High Energy Physics - Theory · Physics 2014-11-20 Francesco Aprile , Jorge G. Russo

In contrast to perturbative QCD, the analytic QCD models have running coupling whose analytic properties correctly mirror those of spacelike observables. The discontinuity (spectral) function of such running coupling is expected to agree…

High Energy Physics - Phenomenology · Physics 2012-07-04 César Ayala , Carlos Contreras , Gorazd Cvetič

According to the gauge/gravity duality, we use an Einstein-Maxwell-dilaton(EMD) model to study the running coupling constant at finite chemical potential and magnetic field. First, we calculate the effect of temperature on the running…

High Energy Physics - Phenomenology · Physics 2022-07-13 Xun Chen , Lin Zhang , Defu Hou

Field theories with weakly coupled holographic duals, such as large N gauge theories, have a natural separation of their operators into `single-trace operators' (dual to single-particle states) and `multi-trace operators' (dual to…

High Energy Physics - Theory · Physics 2017-09-13 Ofer Aharony , Guy Gur-Ari , Nizan Klinghoffer

We present a one-loop calculation of a gauge invariant QCD beta function. Using both momentum and temperature renormalization group equations we investigate the running coupling in the magnetic sector as a function of temperature and…

High Energy Physics - Phenomenology · Physics 2016-09-01 M. A. van Eijck , C. R. Stephens , Ch. G. van Weert

We revisit the computation of the beta function in the two-dimensional $\mathbb{CP}(1)$ sigma model. We show that in different schemes, different diagrams are responsible for the running, such as momentum-independent tadpoles or even…

High Energy Physics - Theory · Physics 2024-08-26 Kasra Kiaee , Alexander Monin

I examine the form of the solution of the BFKL equation with running coupling relevant for deep inelastic scattering. The evolution of structure functions is precisely determined and well described by an effective coupling of the form…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. S. Thorne

Analytic QCD models are those where the QCD running coupling has the physically correct analytic behavior, i.e., no Landau singularities in the Euclidean regime. We present a simple analytic QCD model in which the discontinuity function of…

High Energy Physics - Phenomenology · Physics 2014-11-21 Carlos Contreras , Gorazd Cvetic , Olivier Espinosa , Hector E. Martinez

Through a holographic model of QCD, we present a phenomenological approach to study the running of the strong coupling constant \alpha_s in both non-perturbative and perturbative regimes. The renormalization of the metric tensor, driven by…

High Energy Physics - Phenomenology · Physics 2026-02-10 Héctor Cancio , Pere Masjuan

We present an analysis of the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD in the context of the quark-hadron duality \`a la Bloom-Gilman. Our framework will be the unpolarized structure…

High Energy Physics - Phenomenology · Physics 2015-06-16 A. Courtoy , Simonetta Liuti

We present an analysis of the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD. Although the approaches that have been considered so far in these two regimes appear to be complementary to…

High Energy Physics - Phenomenology · Physics 2015-06-15 A. Courtoy , S. Liuti

The properties of the new analytic running coupling are investigated at the higher loop levels. The expression for this invariant charge, independent of the normalization point, is obtained by invoking the asymptotic freedom condition. It…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko , I. L. Solovtsov
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