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Related papers: Probing the gluon self-interaction in light mesons

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We investigate the masses of light mesons from a coupled system of Dyson-Schwinger and Bethe-Salpeter equations. The dominant non-Abelian and sub-leading Abelian contributions to the dressed quark-gluon vertex are explicitly taken into…

High Energy Physics - Phenomenology · Physics 2012-06-25 Richard Williams

We introduce an extension to the ladder truncated Bethe-Salpeter equation for mesons and the rainbow truncated quark Dyson-Schwinger equations which includes quark-loop corrections to the gluon propagator. This truncation scheme obeys the…

High Energy Physics - Phenomenology · Physics 2013-05-29 C. S. Fischer , P. Watson , W. Cassing

We investigate masses of light mesons from a coupled system of Dyson--Schwinger (DSE) and Bethe--Salpeter equations (BSE), taking into account dominant non-Abelian, sub-leading Abelian, and dominant pion cloud contributions to the dressed…

High Energy Physics - Phenomenology · Physics 2009-12-21 Richard Williams , Christian S. Fischer

We discuss the impact of including corrections beyond single gluon exchange in light mesons within the nonperturbative framework of Dyson-Schwinger equations (DSE) and Bethe-Salpeter equations (BSE). We do this by considering unquenching…

High Energy Physics - Phenomenology · Physics 2009-05-18 Richard Williams , Christian S. Fischer

Using a simple model in the context of the Dyson-Schwinger-Bethe-Salpeter approach, we investigate the effects of a dressed-quark-gluon vertex on pseudoscalar meson masses. In particular, we focus on the unequal-mass case and investigate…

High Energy Physics - Phenomenology · Physics 2015-09-30 M. Gomez-Rocha , T. Hilger , A. Krassnigg

We present a covariant approach to describe the low--lying scalar, pseudoscalar, vector and axialvector mesons as quark--antiquark bound states.This approach is based on an effective interaction modeling of the non--perturbative structure…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Weigel , R. Alkofer , P. Watson

Following up on earlier work, we investigate possible effects of a dressed quark-gluon vertex in heavy-light mesons. In particular, we study corrections to the popular rainbow-ladder truncation of the Dyson-Schwinger-Bethe-Salpeter equation…

High Energy Physics - Phenomenology · Physics 2015-09-02 Maria Gomez-Rocha , Thomas Hilger , Andreas Krassnigg

The spectra and electroweak decay properties of light mesons are analyzed within the framework of the instantaneous Bethe-Salpeter equation. The interaction kernel comprises alternative spin-structures for a parameterization of confinement…

Nuclear Theory · Physics 2011-07-19 C. R. Münz , J. Resag , B. C. Metsch , H. R. Petry

The effect of quark-gluon vertex dressing on the ground state masses of the u/d-quark pseudoscalar, vector and axialvector mesons is considered with the Dyson-Schwinger equations. This extends the ladder-rainbow Bethe-Salpeter kernel to…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. Watson , W. Cassing , P. C. Tandy

We compute the spectrum of light mesons, composed by up, down, and strange quarks, using a symmetry-preserving approximation that permits the inclusion of fully-dressed quark-gluon vertices in the key dynamical equations. This method is…

High Energy Physics - Phenomenology · Physics 2026-04-09 M. N. Ferreira , A. S. Miramontes , J. M. Morgado , J. Papavassiliou

The Bethe-Salpeter equation in QCD connects the gauge-dependent gluon and quark degrees of freedom with the gauge-invariant properties of mesons. We study the rho meson mass and decay constant for various versions of the gauge-dependent…

High Energy Physics - Phenomenology · Physics 2011-02-18 Martina Blank , A. Krassnigg , Axel Maas

The masses and decay constants of the light vector mesons $\rho/\omega$, $\phi$ and $K^\star$ are studied within a ladder-rainbow truncation of the coupled Dyson-Schwinger and Bethe-Salpeter equations of QCD with a model 2-point gluon…

Nuclear Theory · Physics 2009-10-31 Pieter Maris , Peter. C. Tandy

To study meson properties, one needs to solve the gap equation for the quark propagator and the Bethe-Salpeter (BS) equation for the meson wavefunction, self-consistently. The gluon propagator, the quark-gluon vertex, and the…

Nuclear Theory · Physics 2016-04-20 Si-xue Qin

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 masses and decay constants of the light mesons are studied within a ladder-rainbow truncation of the set of Dyson-Schwinger equations using a model 2-point gluon function. The one phenomenological parameter and two current quark masses…

Nuclear Theory · Physics 2009-10-31 P. Maris

A Ward-Takahashi identity preserving Bethe-Salpeter kernel can always be calculated explicitly from a dressed-quark-gluon vertex whose diagrammatic content is enumerable. We illustrate that fact using a vertex obtained via the complete…

Nuclear Theory · Physics 2010-02-17 A. Bender , W. Detmold , C. D. Roberts , A. W. Thomas

We estimate the decay constants $f_\pi$ and $f_K$ of the light mesons within a relativistic quantum-field model of interacting quarks and gluons confined analytically. The necessary physical parameters, the quark masses $m_u$ and $m_s$, the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Ganbold

We present a unified picture of mesons and baryons in the Dyson-Schwinger/Bethe-Salpeter approach, wherein the quark-gluon and quark-(anti)quark interaction follow from a systematic truncation of the QCD effective action and includes all…

High Energy Physics - Phenomenology · Physics 2015-09-08 Helios Sanchis-Alepuz , Richard Williams

This work employs the approach based on the Bethe-Salpeter and Dyson-Schwinger equations to study the light meson spectrum. The Dyson-Schwinger equation of the quark propagator is truncated using the Maris-Tandy model for the dressed gluon…

High Energy Physics - Phenomenology · Physics 2025-11-05 Iqra Liaqat , Faisal Akram

Within the framework of Schwinger-Dyson and Bethe-Salpeter equations we investigate the importance of pions for the quark-gluon interaction. To this end we choose a truncation for the quark-gluon vertex that includes intermediate pion…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dominik Nickel , Christian S. Fischer , Jochen Wambach
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