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We work out the method for evaluating the QCD coupling constant at finite temperature ($T$) by making use of the finite $T$ renormalization group equation up to the one-loop order on the basis of the background field method with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Chaichian , M. Hayashi

2-color QCD, i. e. QCD with the gauge group SU(2), is the simplest non-Abelian gauge theory without sign problem at finite quark density. Therefore its study on the lattice is a benchmark for other non-perturbative approaches at finite…

High Energy Physics - Lattice · Physics 2018-04-18 Ouraman Hajizadeh , Tamer Boz , Axel Maas , Jon-Ivar Skullerud

In this work we compute, at the "one-loop-dressed" level, the nonperturbative contribution of the ghost loops to the self-energy of the gluon propagator, in the Landau gauge. This is accomplished within the PT-BFM formalism, which…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. C. Aguilar , D. Binosi , J. Papavassiliou

We give a short review of our recent analysis [1] of the deep inelastic scattering data (provided by BCDMS, SLAC, NMC) on F2 structure function in the non-singlet approximation with up to next-to-next-to-leading-order accuracy and analytic…

High Energy Physics - Phenomenology · Physics 2011-09-08 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

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

We present a self consistent approach to Coulomb gauge Hamiltonian QCD which allows one to relate single gluon spectral properties to the long range behavior of the confining interaction. Nonperturbative renormalization is discussed. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Adam P. Szczepaniak , Eric S. Swanson

We report on our recent study of the gluon and ghost propagators of pure SU(2) minimal lattice Landau gauge in the strong-coupling limit. In this limit, we find evidence of the conformal infrared behaviour of these propagators as predicted…

High Energy Physics - Lattice · Physics 2009-05-22 Andre Sternbeck , Lorenz von Smekal

The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon and ghost propagators of Landau gauge QCD is solved within truncation schemes. These employ bare as well as non-perturbative ansaetze for the vertices such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer

The coupled Dyson-Schwinger equations for the gluon and ghost propagators are investigated in the Landau gauge using a two-loop improved truncation that preserves the multiplicative renormalizability of the propagators. In this truncation…

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

We study the gluon and ghost propagators of lattice Landau gauge in the strong-coupling limit beta=0 in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behavior of these propagators as predicted by a variety of…

High Energy Physics - Lattice · Physics 2014-11-18 Andre Sternbeck , Lorenz von Smekal

The lattice computation of the one-particle irreducible ghost-gluon Green function in the Landau gauge is revisited with a set of large gauge ensembles. The large statistical ensembles enable a precise determination of this Green function…

High Energy Physics - Lattice · Physics 2024-11-27 Nuno Brito , Orlando Oliveira , Paulo J. Silva

We utilise a recently developed minimal MOM scheme to determine the QCD Lambda parameter from the gluon and ghost propagators in lattice Landau gauge. We discuss uncertainties in the analysis and report our preliminary zero and two flavour…

High Energy Physics - Lattice · Physics 2010-05-12 A. Sternbeck , E. -M. Ilgenfritz , K. Maltman , M. Mueller-Preussker , L. von Smekal , A. G. Williams

We give an update on our lattice determination of r_0 LambdaMS for different Nf. Our calculations employ the strong coupling constant in the minimal MOM scheme for QCD in Landau gauge, and we report here on our progress towards a…

High Energy Physics - Lattice · Physics 2012-12-11 Andre Sternbeck , Kim Maltman , Michael Müller-Preussker , Lorenz von Smekal

Nonperturbative studies of the strong running coupling constant in the infrared region are discussed. Starting from the analyses of the Dyson -- Schwinger equations in the gauge sector of QCD, the conclusion is made on an incomplete fixing…

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

We perform numerical studies of the running coupling constant alpha_R(p^2) and of the gluon and ghost propagators for pure SU(2) lattice gauge theory in the minimal Landau gauge. Different definitions of the gauge fields and different…

High Energy Physics - Lattice · Physics 2016-09-01 Jacques C. R. Bloch , Attilio Cucchieri , Kurt Langfeld , Tereza Mendes

We discuss the different methods to obtain reliable informations about the deep infra-red behaviour of the gluon and ghost Green functions in QCD. We argue that a clever combination of analytical inputs and numerical ones is necessary. We…

High Energy Physics - Phenomenology · Physics 2011-07-14 O. Pène , Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , J. Rodríguez-Quintero

A variant of QCD with the coupling suppressed in the infrared (IR) regime, as suggested by large-volume lattice calculations of the Landau-gauge gluon and ghost dressing functions, is considered. The coupling is further restricted by the…

High Energy Physics - Phenomenology · Physics 2020-07-14 Gorazd Cvetic , Reinhart Kogerler

Gauging extra matter is a common way to couple two CFTs discontinuously. We may consider gauging matter by strongly coupled gauge theories at criticality rather than by weakly coupled (asymptotic free) gauge theories. It often triggers…

High Energy Physics - Theory · Physics 2015-09-30 Yu Nakayama

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

We compute the QCD running coupling on the lattice as defined from the 3-gluon vertex. We present the results of an exploratory study at $\beta=6.0$ on a $16^4$ lattice, which show that for momenta larger than 2 \Gev, the coupling runs…

High Energy Physics - Lattice · Physics 2007-05-23 D. Henty , C. Parrinello , C. Pittori