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The QCD analytic running coupling alpha_{an} which has no nonphysical singularities for all Q^2>0 is considered for the initial perturbation theory approximations up to four loop order. The finiteness of the analytic coupling at zero is…

High Energy Physics - Phenomenology · Physics 2009-11-07 Aleksey I. Alekseev

We construct a new solution of five-dimensional gravity coupled to a dilaton which encodes essential features of holographic QCD backgrounds dynamically. In particular, it implements linear confinement, i.e. the area law behavior of the…

High Energy Physics - Phenomenology · Physics 2009-07-22 W. de Paula , T. Frederico , H. Forkel , M. Beyer

We construct the holographic dictionary for both running and constant dilaton solutions of the 2D Einstein-Maxwell-Dilaton theory obtained by a circle reduction from 3D gravity with negative cosmological constant. This specific model…

High Energy Physics - Theory · Physics 2017-01-24 Mirjam Cvetič , Ioannis Papadimitriou

This paper explores the evolution and monotonicity of geometric constants within the framework of extended Ricci flows, incorporating variable coupling parameters. Building on Hamiltons foundational Ricci flow and subsequent extensions by…

Differential Geometry · Mathematics 2024-12-10 Shouvik Datta Choudhury

We present a solution of the five-dimensional gravity-dilaton-tachyon equations of motion with a pure AdS_5 metric and a quadratic dilaton and linear tachyon in conformal coordinates. This leads to an infrared soft wall model where the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Brian Batell , Tony Gherghetta

We propose an extraction of the running coupling constant of QCD in the infrared region from experimental data on deep inelastic inclusive scattering at Bjorken x -> 1. We first attempt a perturbative fit of the data that extends NLO PQCD…

High Energy Physics - Phenomenology · Physics 2015-05-30 Simonetta Liuti

We investigate the dynamical stability and phase transition behavior in a holographic superfluid model incorporating higher-order self-interaction terms $\lambda |\psi|^4$, $\tau|\psi|^6$, and a non-minimal coupling…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Zi-Qiang Zhao , Mei-Ling Yan , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

We present in this paper a general approach to study the Ricci flow on homogeneous manifolds. Our main tool is a dynamical system defined on a subset H(q,n) of the variety of (q+n)-dimensional Lie algebras, parameterizing the space of all…

Differential Geometry · Mathematics 2012-03-05 Jorge Lauret

We review the present knowledge for $\alpha_s$, the fundamental coupling underlying the interactions of quarks and gluons in QCD. The dependence of $\alpha_s(Q^2)$ on momentum transfer $Q$ encodes the underlying dynamics of hadron physics…

High Energy Physics - Phenomenology · Physics 2023-05-05 A. Deur , S. J. Brodsky , G. F. de Teramond

We implement a holographic gravity model of two gauge fields with a coupling between them, which is dual to a two-currents model. An analytical black brane solution is obtained. In particular, we work out the expressions of conductivities…

High Energy Physics - Theory · Physics 2021-03-03 Dan Zhang , Zhenhua Zhou , Guoyang Fu , Jian-Pin Wu

We study the breakdown of diffusive hydrodynamics in holographic systems dual to neutral dilatonic black holes with extremal near horizon geometries conformal to AdS$_2\times\,$R$^2$. We find that at low temperatures by tuning the effective…

High Energy Physics - Theory · Physics 2022-01-28 Yan Liu , Xin-Meng Wu

The soft wall model in holographic QCD has Regge trajectories but wrong operator product expansion (OPE) for the two-point vectorial QCD Green function. We modify the dilaton potential to comply OPE. We study also the axial two-point…

High Energy Physics - Phenomenology · Physics 2015-09-17 Luigi Cappiello , Giancarlo D'Ambrosio , David Greynat

We continue the study initiated in [arXiv:1708.02252] of the fluctuations of a strongly-coupled non-conformal plasma described holographically by Einstein gravity coupled to a dilaton with an exponential potential. The plasma approaches a…

High Energy Physics - Theory · Physics 2020-05-06 Panagiotis Betzios , Umut Gürsoy , Matti Järvinen , Giuseppe Policastro

Holographic principles have impacted the way we look at strong coupling phenomena in quantum chromodynamics, strongly interacting extensions of the standard model, and {condensed-matter} physics. In real world settings, however, we still…

High Energy Physics - Phenomenology · Physics 2014-04-23 Dennis D. Dietrich

This paper presents a summary of the current status of determinations of the strong coupling constant alpha_s. A detailed description of the definition, scale dependence and inherent theoretical ambiguities is given. The various physical…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ian Hinchliffe , Aneesh V. Manohar

Newer lattice results indicate that, in the Landau gauge at low spacelike momenta, the gluon propagator and the ghost dressing function are finite nonzero. This leads to a definition of the QCD running coupling, in a specific scheme, that…

High Energy Physics - Phenomenology · Physics 2019-04-02 Cesar Ayala , Gorazd Cvetic , Reinhart Kogerler

We develop and apply the Diagrammatic Monte Carlo technique to address the problem of stability of the Dirac liquid state (in a graphene type system) against strong long-range part of the Coulomb interaction. So far, all attempts to deal…

Strongly Correlated Electrons · Physics 2017-01-18 Igor Tupitsyn , Nikolay Prokof'ev

Without Lorentz symmetry, generic fixed points of the renormalization group (RG) are labelled by their dynamical (or `Lifshitz') exponent $z$. Hence, a rich variety of possible RG flows arises. The first example is already given by the…

High Energy Physics - Theory · Physics 2024-09-30 Matteo Baggioli , Oriol Pujolas , Xin-Meng Wu

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

We describe a holographic approach to QCD where conformal symmetry is broken explicitly in the UV by a relevant operator ${\cal O}$. The operator maps to a 5d scalar field, the dilaton, with a massive term. Implementing also the IR…

High Energy Physics - Theory · Physics 2018-05-07 Alfonso Ballon-Bayona , Henrique Boschi-Filho , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin
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