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The non-perturbative gluon and ghost propagators in Landau gauge QCD are obtained using the Schwinger-Dyson equation approach. The propagator equations are solved in Euclidean space using Landau gauge with a range of vertex inputs.…

高能物理 - 唯象学 · 物理学 2015-03-19 D. J. Wilson , M. R. Pennington

We construct a general Ansatz for the three-particle vertex describing the interaction of one background and two quantum gluons, by simultaneously solving the Ward and Slavnov-Taylor identities it satisfies. This vertex is known to be…

高能物理 - 唯象学 · 物理学 2015-03-19 Daniele Binosi , Joannis Papavassiliou

We evaluate the three-gluon vertex with one vanishing external momentum within the Curci-Ferrari (CF) model at two-loop order and compare our results to Landau-gauge lattice simulations of the same vertex function for the SU(2) and SU(3)…

高能物理 - 唯象学 · 物理学 2023-01-10 Nahuel Barrios , Marcela Peláez , Urko Reinosa

We give a brief review of an elementary extension of the Pinch Technique (PT) that yields renormalization-group invariant (RGI) Green's functions, called PT-RGI. These are also gauge- and process-independent, show dimensional transmutation,…

高能物理 - 唯象学 · 物理学 2012-11-12 John M. Cornwall

We develop a novel approach for the self-consistent solution of coupled sets of Bethe-Salpeter and Schwinger-Dyson equations in QCD. This framework allows us to maintain the axial Ward-Takahashi identities of the theory within advanced…

高能物理 - 唯象学 · 物理学 2025-09-30 Angel. S. Miramontes , Jose M. Morgado Chavez , Joannis Papavassiliou , Jan M. Pawlowski

We show that the gauge invariant treatment of the Schwinger-Dyson equations of QCD leads to an infrared finite gluon propagator, signaling the dynamical generation of an effective gluon mass, and a non-enhanced ghost propagator, in…

高能物理 - 唯象学 · 物理学 2009-04-14 A. C. Aguilar , D. Binosi , J. Papavassiliou

The vertex connecting one background gluon with two quantum ones constitutes a central ingredient in the gauge-invariant Schwinger-Dyson equation that determines the non-perturbative dynamics of the gluon propagator. This vertex satisfies a…

高能物理 - 唯象学 · 物理学 2011-03-04 Joannis Papavassiliou

We present a new truncation scheme for the Schwinger-Dyson equations of QCD that respects gauge invariance at any level of the dressed loop expansion. When applied to the gluon self-energy, it allows for its non-perturbative treatment…

高能物理 - 唯象学 · 物理学 2008-11-26 Daniele Binosi , Joannis Papavassiliou

It is shown how the QED concept of a gauge-, scale- and scheme-independent one-loop effective charge can be extended directly at the diagrammatic level to QCD, thus justifying explicitly the ``naive non-abelianization'' prescription used in…

高能物理 - 唯象学 · 物理学 2008-11-26 N. J. Watson

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 $d$…

高能物理 - 唯象学 · 物理学 2009-09-11 Michael Binger , Stanley J. Brodsky

We study an approximate version of the Schwinger-Dyson equation that controls the nonperturbative behavior of the ghost-gluon vertex, in the Landau gauge. In particular, we focus on the form factor that enters in the dynamical equation for…

高能物理 - 唯象学 · 物理学 2013-08-16 A. C. Aguilar , D. Ibáñez , J. Papavassiliou

The Gluon and Ghost propagators in Landau gauge QCD are investigated using the Schwinger-Dyson equation approach. Working in Euclidean spacetime, we solve for these propagators using a selection of vertex inputs, initially for the ghost…

高能物理 - 唯象学 · 物理学 2012-01-12 M. R. Pennington , D. J. Wilson

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…

高能物理 - 唯象学 · 物理学 2009-11-10 M. S. Bhagwat , P. C. Tandy

We study the self-consistency problem of the generalized Feynman rule (nonperturbatively modified vertex of zeroth perturbative order) for the 4-gluon vertex function in the framework of an extended perturbation scheme accounting for…

高能物理 - 理论 · 物理学 2009-10-31 L. Driesen , M. Stingl

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,…

高能物理 - 唯象学 · 物理学 2022-01-24 J. Papavassiliou , A. C. Aguilar , M. N. Ferreira

We demonstrate how to obtain from the Schwinger-Dyson equations of QCD an infrared finite ghost propagator in the Feynman gauge. The key ingredient in this construction is the longitudinal form factor of the non-perturbative gluon-ghost…

高能物理 - 唯象学 · 物理学 2008-11-26 A. C. Aguilar , J. Papavassiliou

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…

高能物理 - 唯象学 · 物理学 2020-06-11 Orlando Oliveira , Tobias Frederico , Wayne de Paula

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

高能物理 - 唯象学 · 物理学 2011-04-15 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

We present the first Dyson-Schwinger calculation of the three-gluon vertex in Landau-gauge QCD in which its full covariant structure is back-coupled self-consistently. We truncate a Bose-symmetrized version of the DSE at the level of…

高能物理 - 唯象学 · 物理学 2014-05-21 Gernot Eichmann , Richard Williams , Reinhard Alkofer , Milan Vujinovic

We establish exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structure is an infinite sum over all possible severe…

高能物理 - 唯象学 · 物理学 2007-05-23 V. Gogohia
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