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Related papers: Is QCD asymptotically free?

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In gauge theories, charged particles obey modified dispersion due to medium interactions (forward scattering), leading at high energies $E \geq T$ to an asymptotic mass-squared $m^2_\infty$. We calculate the infrared part of this mass…

High Energy Physics - Lattice · Physics 2021-06-25 Guy D. Moore , Niels Schlusser

In this paper we show that the apparent failure of QCD lattice perturbation theory to account for Monte Carlo measurements of perturbative quantities results from choosing the bare lattice coupling constant as the expansion parameter. Using…

High Energy Physics - Lattice · Physics 2009-10-22 G. P. Lepage , P. B. Mackenzie

These lectures provide an overview of Quantum Chromodynamics (QCD), the $SU(3)_C$ gauge theory of the strong interactions. After briefly reviewing the empirical considerations which lead to the introduction of {\it colour}, the QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Pich

Physical quantities in QCD do not depend upon $\alpha_s(Q)$. There is no way to measure $\alpha_s(Q)$ experimentally. If those statements sound shocking, please read on. They are actually well-known facts, though ones that are constantly…

High Energy Physics - Phenomenology · Physics 2024-09-04 P. M. Stevenson

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

The quark-antiquark potential is constructed by making use of a new analytic running coupling in QCD. This running coupling arises under ``analytization'' of the renormalization group equation. The rising behavior of the quark-antiquark…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

According to the present understanding, the observed diversity of the strong interaction phenomena is described by Quantum Chromodynamics, a gauge field theory with only very few parameters. One of the fundamental questions in this context…

High Energy Physics - Phenomenology · Physics 2009-11-07 Martin Lüscher

A recently developed model for the QCD analytic invariant charge is compared with quenched lattice simulation data on the static quark-antiquark potential. By employing this strong running coupling one is able to obtain the confining…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

We discuss the approach to asymptotic dynamics due to Kulish and Faddeev. We show that there are problems in applying this method to theories with four point interactions. The source of the difficulties is identified and a more general…

High Energy Physics - Theory · Physics 2007-05-23 Robin Horan , Martin Lavelle , David McMullan

Evidence is reviewed suggesting that QCD remains a perturbative theory with a (relatively) small coupling constant down to a distinct infrared boundary on perturbative physics, a boundary corresponding to the momentum scale associated with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Victor Elias

The exact expression for the phase-dependent linear conductance of a weakly damped superconducting quantum point contact is obtained. The calculation is performed by summing up the complete perturbative series in the coupling between the…

Condensed Matter · Physics 2016-08-15 A. Levy Yeyati , A. Martín-Rodero , J. C. Cuevas

We investigate the short distance fate of distinct classes of not asymptotically free supersymmetric gauge theories. Examples include super QCD with two adjoint fields and generalised superpotentials, gauge theories without superpotentials…

High Energy Physics - Theory · Physics 2018-04-04 Borut Bajc , Nicola Andrea Dondi , Francesco Sannino

We analyze the large-distance behaviour of static quark-anti-quark pair correlations in QCD. The singlet free energy is calculated and the entropy contribution to it is identified allowing us to calculate the excess internal energy. The…

High Energy Physics - Lattice · Physics 2009-11-13 Konstantin Petrov , RBC-Bielefeld Collaboration

In this contribution to the proceedings, we analyze the transition from perturbative and non- perturbative QCD embedded in the coupling constant. In the study of quark-hadron duality, we suggest that the realization of the latter is related…

High Energy Physics - Phenomenology · Physics 2013-12-04 A. Courtoy

String tension is introduced in perturbative QCD without hindering ultra violet renormalizability . The running gauge coupling constant remains unaltered and the string tension in the high energy limit vanishes asymptotically. Using 1/N…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ramesh Anishetty

Quantum electrodynamics describes the interactions of electrons and photons. Electric charge (the gauge coupling constant) is energy dependent, and there is a previous claim that charge is affected by gravity (described by general…

High Energy Physics - Theory · Physics 2011-11-10 David J. Toms

The QCD running coupling costant is studied in the perturbative region, considering the existing experimental data, and also in the nonperurbative region, at low momentum transfer. A continous phenomenological function is determined by…

High Energy Physics - Phenomenology · Physics 2024-10-30 M. De Sanctis

We compute the effective potential for scalar fields in asymptotically safe quantum gravity. A scaling potential and other scaling functions generalize the fixed point values of renormalizable couplings. The scaling potential takes a…

High Energy Physics - Theory · Physics 2020-12-01 C. Wetterich

The issue is the expediency of the QCD notions use in the low energy region down to the confinement scale, and, in particular, the efficacy of the QCD invariant coupling \bar{\alpha}_s(Q^2) with a minimal analytic modification in this…

High Energy Physics - Phenomenology · Physics 2017-08-23 Dmitry Shirkov

We determine the 2-loop effective gauge coupling of QCD at high temperatures, defined as a matching coefficient appearing in the dimensionally reduced effective field theory. The result allows to improve on one of the classic…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Laine , Y. Schroder