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Related papers: Quark-gluon vertex in the complex plane

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In this talk we present a new method for determining the nonperturbative quark-gluon vertex, which constitutes a crucial ingredient for a variety of theoretical and phenomenological studies. This new method relies heavily on the exact…

High Energy Physics - Phenomenology · Physics 2015-09-02 A. C. Aguilar

In the present work we determine the eight form factors of the transversely-projected quark-gluon vertex in general kinematics, in the context of Landau-gauge QCD with two degenerate light dynamical quarks. The study is based on the set of…

High Energy Physics - Phenomenology · Physics 2024-08-29 A. C. Aguilar , M. N. Ferreira , G. T. Linhares , B. M. Oliveira , J. Papavassiliou

We present a novel nonperturbative approach for calculating the form factors of the quark-gluon vertex, in a general covariant gauge. The key ingredient of this method is the exact all-order relation connecting the conventional quark-gluon…

High Energy Physics - Phenomenology · Physics 2015-04-08 A. C. Aguilar , D. Binosi , D. Ibañez , J. Papavassiliou

There has been growing evidence that the infrared enhancement of the form factors defining the full quark-gluon vertex plays an important role in realizing a dynamical breakdown of chiral symmetry in quantum chromodynamics, leading to the…

High Energy Physics - Phenomenology · Physics 2017-04-05 R. Bermudez , L. Albino , L. X. Gutiérrez-Guerrero , M. E. Tejeda-Yeomans , A. Bashir

We present a nonperturbative study of the form factor associated with the projection of the full four-gluon vertex on its classical tensor, for a set of kinematics with one vanishing and three arbitrary external momenta. The treatment is…

High Energy Physics - Phenomenology · Physics 2024-08-13 A. C. Aguilar , F. De Soto , M. N. Ferreira , J. Papavassiliou , F. Pinto-Gómez , J. Rodríguez-Quintero , L. R. Santos

The Dyson-Schwinger quark equation is solved for the quark-gluon vertex using the most recent lattice data available in the Landau gauge for the quark, gluon and ghost propagators, the full set of longitudinal tensor structures in the…

High Energy Physics - Phenomenology · Physics 2019-02-20 O. Oliveira , W. de Paula , T. Frederico , J. P. B. C de Melo

We present preliminary results on the longitudinal $and$ transverse form factors of the quark-gluon vertex as functions of the incoming and outgoing quark momenta and an angle $\theta =2\pi/3$ between them. The expressions for these form…

High Energy Physics - Phenomenology · Physics 2022-01-13 Bruno El-Bennich , Fernando E. Serna , Roberto Correa da Silveira , Luis Albino , Adnan Bashir , Eduardo Rojas

We show results for the quark-gluon vertex in the Landau gauge, using a mean-field improved Sheikholeslami-Wohlert fermion action. We compute all the three non-zero form factors of the vertex at zero gluon momentum, and compare them to the…

High Energy Physics - Lattice · Physics 2017-08-23 Jonivar Skullerud , Patrick Bowman , Ayse Kizilersu

In this study, we present a perturbative analysis of the three-gluon vertex for a kinematical symmetric configuration in dimension $n=4-2\epsilon$ and different covariant gauges.Our study can describe the form factors of the three gluon…

High Energy Physics - Phenomenology · Physics 2024-09-11 A. Alfaro , L. X. Gutiérrez Guerrero , L. Albino , A. Raya

We study the quark-gluon vertex in the limit of vanishing gluon momentum using lattice QCD with 2 flavors of O(a) improved Wilson fermions, for several lattice spacings and quark masses. We find that all three form factors in this…

High Energy Physics - Lattice · Physics 2021-07-07 Ayşe Kızılersü , Orlando Oliveira , Paulo J. Silva , Jon-Ivar Skullerud , André Sternbeck

The Schwinger-Dyson quark equation (SDE) combined with results from lattice simulation for the propagators are used to obtain information on the quark-gluon vertex, taking into account the recent full QCD lattice results for the soft-gluon…

High Energy Physics - Phenomenology · Physics 2020-06-11 Orlando Oliveira , Tobias Frederico , Wayne de Paula

We include a generalized infinite class of quark-gluon vertex dressing diagrams in a study of how dynamics beyond the ladder-rainbow truncation influences the Bethe-Salpeter description of light quark pseudoscalar and vector mesons. The…

Nuclear Theory · Physics 2008-11-26 Hrayr H. Matevosyan , Anthony W. Thomas , Peter C. Tandy

The gauge-invariant three-gluon vertex obtained from the pinch technique is characterized by thirteen nonzero form factors, which are given in complete generality for unbroken gauge theory at one loop. The results are given in $d$…

High Energy Physics - Phenomenology · Physics 2009-09-11 Michael Binger , Stanley J. Brodsky

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 complete vertex is computed in two specific kinematical limits, while the Dirac-vector part is…

High Energy Physics - Lattice · Physics 2010-03-04 Jon-Ivar Skullerud , Patrick O. Bowman , Ayse Kizilersu , Derek B. Leinweber , Anthony G. Williams

The complete tensor structure of the quark--gluon vertex in Landau gauge is determined at two kinematical points (`asymmetric' and `symmetric') from lattice QCD in the quenched approximation. The simulations are carried out at beta=6.0,…

High Energy Physics - Phenomenology · Physics 2010-03-04 J. I. Skullerud , P. O. Bowman , A. Kizilersu , D. B. Leinweber , A. G. Williams

*REVISED VERSION* Two quark propagators with different analytic structure are employed in on and off mass-shell Bethe-Salpeter type equations for the pion and scalar diquark form-factors. One of the quark propagators has been calculated…

High Energy Physics - Phenomenology · Physics 2009-10-22 Samuel J. Stainsby , Reginald T. Cahill

We present analytical and numerical results for the Dirac form factor of the quark-gluon vertex in the quark symmetric limit, where the incoming and outgoing quark momenta have the same magnitude but opposite sign. To accomplish this, we…

High Energy Physics - Phenomenology · Physics 2013-01-18 A. C. Aguilar , D. Binosi , J. C. Cardona , J. Papavassiliou

We present a practical method for the solution of the quark-gluon vertex for use in Bethe--Salpeter and Dyson--Schwinger calculations. The efficient decomposition into the necessary covariants is detailed, with the numerical algorithm…

High Energy Physics - Phenomenology · Physics 2015-06-11 Richard Williams

We present a detailed exploration of certain outstanding features of the transversely-projected three-gluon vertex, using the corresponding Schwinger-Dyson equation in conjunction with key results obtained from quenched lattice simulations.…

High Energy Physics - Phenomenology · Physics 2023-07-26 A. C. Aguilar , M. N. Ferreira , J. Papavassiliou , L. R. Santos

To date, the four-gluon vertex is the least explored component of the QCD Lagrangian, mainly due to the vast proliferation of Lorentz and color structures required for its description. In this work we present a nonperturbative study of this…

High Energy Physics - Phenomenology · Physics 2024-02-27 A. C. Aguilar , M. N. Ferreira , J. Papavassiliou , L. R. Santos
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