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Related papers: A new method for computing the quark-gluon vertex

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The ghost-gluon scattering kernel is a special correlation function that is intimately connected with two fundamental vertices of the gauge sector of QCD: the ghost-gluon vertex, which may be obtained from it through suitable contraction,…

High Energy Physics - Phenomenology · Physics 2019-03-11 A. C. Aguilar , M. N. Ferreira , C. T. Figueiredo , J. Papavassiliou

A model for the dressed quark-gluon vertex, at zero gluon momentum, is formed from a nonperturbative extension of the two Feynman diagrams that contribute at 1-loop in perturbation theory. The required input is an existing ladder-rainbow…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. S. Bhagwat , P. C. Tandy

The electromagnetic interaction with quarks is investigated through a relativistic, electromagnetic gauge-invariant treatment. Gluon dressing of the quark-photon vertex and the quark self-energy functions is described by the inhomogeneous…

Nuclear Theory · Physics 2009-09-25 Michael R. Frank

The three-gluon vertex has been found to be a vital ingredient in non-perturbative functional approaches. We present an updated lattice calculation of it in various kinematical configurations for all tensor structures and multiple lattice…

High Energy Physics - Lattice · Physics 2022-04-11 Axel Maas , Milan Vujinović

We evaluate the quark-photon vertex non-perturbatively taking into account the gluon condensate at finite temperature. This vertex is related to the previously derived effective quark propagator by a QED like Ward-Takahashi identity. The…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. G. Mustafa , A. Schaefer , M. H. Thoma

We compute the quark-gluon vertex in quenched lattice QCD, in the Landau gauge using an off-shell mean-field O(a)-improved fermion action. The Dirac-vector part of the vertex is computed for arbitrary kinematics. We find a substantial…

High Energy Physics - Lattice · Physics 2008-11-26 Ayse Kizilersu , Derek B. Leinweber , Jon-Ivar Skullerud , Anthony G. Williams

We compute the form factors of the photon-quark-anti-quark vertex and the effective vertex of a Higgs boson and two gluons to three-loop order within massless perturbative Quantum Chromodynamics. These results provide building blocks for…

High Energy Physics - Phenomenology · Physics 2009-06-30 P. A. Baikov , K. G. Chetyrkin , A. V. Smirnov , V. A. Smirnov , M. Steinhauser

The three-gluon vertex is a fundamental ingredient of the intricate QCD dynamics, being inextricably connected to key nonperturbative phenomena, such as the emergence of a mass scale in the gauge sector of the theory. In this presentation,…

High Energy Physics - Phenomenology · Physics 2022-01-24 J. Papavassiliou , A. C. Aguilar , M. N. Ferreira

We compute the quark-gluon vertex in quenched QCD, in the Landau gauge using an off-shell mean-field O(a)-improved fermion action. The running coupling is calculated in an `asymmetric' momentum subtraction scheme (MOM~). We obtain a crude…

High Energy Physics - Lattice · Physics 2010-03-04 J. Skullerud , A. Kizilersu , A. G. Williams

The nonperturbative fermion-boson vertex function in four-dimensional Abelian gauge theories is self-consistently and exactly derived in terms of a complete set of normal (longitudinal) and transverse Ward-Takahashi relations for the The…

High Energy Physics - Theory · Physics 2007-05-23 Han-xin He

We present the first results from a study of the quark--gluon vertex function in the Landau gauge. The results are obtained for quenched QCD with an O(a)-improved Wilson fermion action, at beta=6.0. We discuss plans for further study,…

High Energy Physics - Lattice · Physics 2009-10-28 Jon Ivar Skullerud

Following a previous calculation of quark scattering in eikonal approximation, this paper presents a new, analytic and rigorous approach to the calculation of QCD phenomena. In this formulation a basic distinction between the conventional…

High Energy Physics - Phenomenology · Physics 2015-01-20 H. M. Fried , T. Grandou , Y. -M. Sheu

We perform a semi-perturbative calculation of the quark-gluon vertex inspired from the three-loop expanded 3PI effective action and investigate the relative strengths of the chirally symmetric/broken tensor structures below and above the…

High Energy Physics - Phenomenology · Physics 2018-05-16 Romain Contant , Markus Q. Huber , Christian S. Fischer , Christian A. Welzbacher , Richard Williams

I calculate the quark-gluon vertex of the tensor type $\Gamma(p,q)=g_3(p,q)p_4 \Slash{\Vec q}$, vector type $g_2(p,q)\Vec q$ and scalar type $g_1(p,q)$, for a small spacial momentum transfer $q=\bf q$ using the gauge configuration of the…

High Energy Physics - Lattice · Physics 2010-01-21 Sadataka Furui

We present a new method aiming at a non-perturbative, model-independent determination of the momentum dependence of the form factors entering semileptonic decays using unitarity and analyticity constraints. We extend the original proposal…

High Energy Physics - Lattice · Physics 2021-11-30 Matteo Di Carlo , Guido Martinelli , Manuel Naviglio , Francesco Sanfilippo , Silvano Simula , Ludovico Vittorio

Based on a suitable basis system for the quark-gluon vertex' transverse tensor structures and on carefully chosen kinematical variables, the transverse part of the quark-gluon vertex in quenched QCD in the Landau gauge is obtained from a…

High Energy Physics - Phenomenology · Physics 2026-04-23 Georg Wieland , Reinhard Alkofer

A lattice QCD calculation for the four gluon one-particle irreducible Green function in the Landau gauge is discussed. Results for some of the associated form factors are reported for kinematical configurations with a single momentum scale.…

High Energy Physics - Lattice · Physics 2024-01-23 Manuel Colaço , Orlando Oliveira , Paulo J. Silva

The variational method and the Hamiltonian formalism of QCD are used to derive relativistic, momentum space integral equations for a quark-antiquark system with an arbitrary number of gluons present. As a first step, the resulting infinite…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. Di Leo , J. W. Darewych

Solutions for the three-gluon and quark-gluon vertices from Dyson-Schwinger equations and the three-particle irreducible formalism are discussed. Dynamical quarks (``unquenching'') change the three-gluon vertex via the quark-triangle…

High Energy Physics - Phenomenology · Physics 2017-04-05 Adrian L. Blum , Reinhard Alkofer , Markus Q. Huber , Andreas Windisch

An approximate procedure for performing nonperturbative calculations in quantum field theories is presented. The focus will be quantum non-Abelian gauge theories with the goal of understanding some of the open questions of these theories…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Dzhunushaliev , D. Singleton , T. Nikulicheva