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Related papers: Ghost-gluon running coupling, power corrections an…

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A simple parametrization of the QCD running coupling at low scales is introduced and used to illustrate various schemes for the estimation of non-perturbative power corrections. The `infrared matching' scheme proposed earlier gives…

High Energy Physics - Phenomenology · Physics 2010-02-03 B. R. Webber

Effective coupling constant in quantum electrodynamics is investigated. A pole appears in the effective coupling constant for the space-like momentum if it is calculated by perturbation. The pole can be eliminated by the analytic…

High Energy Physics - Phenomenology · Physics 2007-10-09 Hirohisa Ishikawa , Keiji Watanabe

We study the behavior of the gluon and ghost dressing functions in SU(3) Landau gauge at low momenta available on lattice sizes 12^4-32^4 at $\beta$=5.8, 6.0 and 6.2. We demonstrate the ghost dressing function to be systematically dependent…

High Energy Physics - Lattice · Physics 2008-11-26 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker , A. Schiller

We present preliminary results on the computation of the QCD running coupling constant in the MOM_tilde scheme and Landau gauge with two flavours of dynamical Wilson quarks. Gluon momenta range up to about 7 GeV (beta=5.6, 5.8 and 6.0) with…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , J. P. Leroy , J. Micheli , H. Moutarde , O. Pene , J. Rodriguez-Quintero , C. Roiesnel

We present preliminary results on the computation of the QCD running coupling constant in the $\widetilde{MOM}$ scheme and Landau gauge with two flavours of dynamical Wilson quarks. Gluon momenta range up to about 7 GeV ($\beta =$ 5.6, 5.8…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , J. P. Leroy , H. Moutarde , J. Micheli , O. Pène , J. Rodríguez-Quintero , C. Roiesnel

On the occasion of the 70th birthday of Prof. Adriano Di Giacomo we report on recent numerical computations of the Landau gauge gluon and ghost propagators as well as of a non-symmetric MOM-scheme ghost-gluon vertex in quenched and full…

High Energy Physics - Lattice · Physics 2007-05-23 E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck , A. Schiller

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

We present a numerical study of the running coupling constant and of the gluon and ghost propagators in minimal Landau gauge. Simulations are done in pure SU(2) lattice gauge theory for several values of beta and lattice sizes. We use two…

High Energy Physics - Lattice · Physics 2009-11-07 Jacques C. R. Bloch , Attilio Cucchieri , Kurt Langfeld , Tereza Mendes

This PhD dissertation is devoted to a non-perturbative study of QCD correlators. The main tool that we use is lattice QCD. We concentrated our efforts on the study of the main correlators of the pure Yang - Mills theory in the Landau gauge,…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov

We report on recent experimental and theoretical developments in our understanding of the QCD running coupling \alpha_s in QCD's nonperturbative regime. They allow us to analytically compute the hadron mass spectrum, with \Lambda_s the only…

High Energy Physics - Phenomenology · Physics 2018-11-15 Alexandre Deur

We review the long term project of the ALPHA collaboration to compute in QCD the running coupling constant and quark masses at high energy scales in terms of low energy hadronic quantities. The adapted techniques required to numerically…

High Energy Physics - Lattice · Physics 2015-01-09 Rainer Sommer , Ulli Wolff

We report on the non-perturbative computation of the running coupling of two-flavour QCD in the Schr"odinger functional scheme. The corresponding Lambda-parameter, which describes the coupling strength at high energy, is related to a low…

From an accurate determination of the inter-quark potential, one can study the running coupling constant for a range of $R$-values and hence estimate the scale $\Lambda_{\msbar} $. Detailed results are presented for $SU(2)$ pure gauge…

High Energy Physics - Lattice · Physics 2008-11-26 Chris Michael

Lattice data seems to show that power corrections should be convoked to describe appropriately the transition of the QCD coupling constant running from U.V. to I.R. domains. Those power corrections for the Landau-gauge MOM coupling constant…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Donini , J. P. Leroy , A. Le Yaouanc , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

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 present an evaluation of the running coupling constant for Nf=2+1 QCD. The Schroedinger functional scheme is used as the intermediate scheme to carry out non-perturbative running from the low energy region, where physical scale is…

High Energy Physics - Lattice · Physics 2010-04-30 S. Aoki , K. I. Ishikawa , N. Ishizuka , T. Izubuchi , D. Kadoh , K. Kanaya , Y. Kuramashi , K. Murano , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshié

We present an update of our lattice QCD determination of the hadronic contribution to the running of the electromagnetic coupling, $\Delta\alpha_{\mathrm{had}}^{(5)}(-Q^2)$, and of the electroweak mixing angle in the space-like momentum…

We calculate running coupling corrections for the lowest-order gluon production cross section in high energy hadronic and nuclear scattering using the BLM scale-setting prescription. In the final answer for the cross section the three…

High Energy Physics - Phenomenology · Physics 2011-01-17 W. A. Horowitz , Yuri V. Kovchegov

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 calculate the vacuum polarization functions on the lattice using the overlap fermion formulation.By matching the lattice data at large momentum scales with the perturbative expansion supplemented by Operator Product Expansion (OPE), we…

High Energy Physics - Lattice · Physics 2019-08-13 E. Shintani , S. Aoki , T. W. Chiu , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , N. Yamada