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Related papers: New Model for the QCD Analytic Running Coupling

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We propose a new method for simulating QCD at finite density, where interesting phases such as the color superconductivity phase is conjectured to appear. The method is based on a general factorization property of distribution functions of…

High Energy Physics - Lattice · Physics 2017-08-23 Jun Nishimura

The two-loop invariant (running) coupling of QCD is written in terms of the Lambert W function. The analyticity structure of the coupling in the complex Q^2-plane is established. The corresponding analytic coupling is reconstructed via a…

High Energy Physics - Phenomenology · Physics 2016-12-28 B. Magradze

In the framework of analytic approach to QCD, which has been recently intensively developed, the dependence of nonperturbative contributions in a running coupling of strong interaction on initial perturbative approximation to 3-loop order…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aleksey I. Alekseev

The perturbative quantum chromodynamics (QCD) is quite successful in the description of main features of multiparticle production processes. Ten most appealing characteristics are described in this brief review talk and compared with QCD…

High Energy Physics - Phenomenology · Physics 2015-06-25 I. M Dremin

Based on a simple but effective regularization-renormalization method (RRM), the running coupling constants (RCC) of fermions with masses in quantum electrodynamics (QED) and quantum chromodynamics (QCD) are calculated by renormalization…

High Energy Physics - Phenomenology · Physics 2007-05-23 Guang-jiong Ni , Guo-hong Yang , Rong-tang Fu , Haibin Wang

Methods described in the literature for the computation of the QCD running coupling are essentially all defined with respect to the renormalization group equations and these equations are associated with the method of renormalization for…

General Physics · Physics 2025-06-11 John Mashford

Strongly interacting matter exhibits new phases under extreme conditions. Matter was exposed to such extremes not only in the Early Universe, but also today in the cores of neutron stars, as well as in laboratory experiments at a much…

Nuclear Theory · Physics 2025-12-10 Szabolcs Borsanyi , Paolo Parotto

The recent development of the Field Correlator Method (FCM) is discussed, with applications to the most interesting areas of QCD physics obtained in the lattice data and experiment. These areas include: a) the connection of colorelectric…

High Energy Physics - Phenomenology · Physics 2024-07-16 M. S. Lukashov , Yu. A. Simonov

Solving the QCD renormalization group equation at the 2-loop and 3-loop orders we obtain explicit expressions for the coupling as a function of the scale in terms of the Lambert W function. We study the nature of the ``Landau…

High Energy Physics - Phenomenology · Physics 2010-02-03 Einan Gardi , Georges Grunberg , Marek Karliner

For the first time, physicists are in the position to precisely study a fully relativistic quantum field theory: Quantum ChromoDynamics (QCD). QCD is a central element of the Standard Model and provides the theoretical framework for…

Nuclear Experiment · Physics 2014-05-28 Richard G. Milner

Stochastic Analytic Continuation (SAC) of Quantum Monte Carlo (QMC) imaginary-time correlation function data is a valuable tool in connecting many-body models to experimentally measurable dynamic response functions. Recent developments of…

Strongly Correlated Electrons · Physics 2024-11-26 Gabe Schumm , Sibin Yang , Anders W. Sandvik

Starting from the Schr\"odinger functional, we give a non-perturbative definition of the running coupling constant in QCD. The spatial boundary conditions for the quark fields are chosen such that the massless Dirac operator in the…

High Energy Physics - Lattice · Physics 2009-10-28 Stefan Sint , Rainer Sommer

The quark exchange model is a simple realization of an adiabatic approximation to the strong-coupling limit of Quantum Chromodynamics (QCD): the quarks always coalesce into the lowest energy set of flux tubes. Nuclear matter is thus modeled…

Nuclear Theory · Physics 2008-11-26 S. Gardner , C. J. Horowitz , J. Piekarewicz

We propose a model for Quantum Chromodynamics, obtained by ignoring the angular dependence of the gluon fields, which could qualitatively describe systems containing one heavy quark. This leads to a two dimensional gauge theory which has…

High Energy Physics - Phenomenology · Physics 2010-11-01 K. S. Gupta , S. Guruswamy , S. G. Rajeev

Most of the analytic approaches which are used at present to understand the low energy hadronic interactions in Particle Physics, get their inspiration from QCD in the limit of a large number of colors $N_c$. I first illustrate this with…

High Energy Physics - Phenomenology · Physics 2009-11-07 Eduardo de Rafael

Conformal symmetry provides a systematic approximation to QCD in both its perturbative and nonperturbative domains. One can use the AdS/CFT correspondence between Anti-de Sitter space and conformal gauge theories to obtain an analytically…

High Energy Physics - Phenomenology · Physics 2009-11-13 Stanley J. Brodsky

We study the impact on chiral symmetry breaking of a recently developed model for the QCD analytic invariant charge. This charge contains no adjustable parameters, other than the QCD mass scale $\Lambda$, and embodies asymptotic freedom and…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. C. Aguilar , A. V. Nesterenko , J. Papavassiliou

In general the kernel of QCD's gap equation possesses a domain of analyticity upon which the equation's solution at nonzero chemical potential is simply obtained from the in-vacuum result through analytic continuation. On this domain the…

Nuclear Theory · Physics 2009-01-01 Huan Chen , Wei Yuan , Lei Chang , Yu-Xin Liu , Thomas Klahn , Craig D. Roberts

The theory of the strong interactions, Quantum Chromodynamics (QCD), has been addressed by a variety of non-perturbative techniques over the decades since its introduction. We have investigated Hamiltonian formulations with different…

High Energy Physics - Theory · Physics 2007-05-23 J. P. Vary , T. J. Fields J. R. Spence , H. W. L. Naus , H. J. Pirner , K. S. Gupta

A recent claim that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole, is investigated analytically and numerically. This picture is shown to be…

High Energy Physics - Phenomenology · Physics 2009-01-14 D. Atkinson , J. C. R. Bloch
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