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Related papers: A systematic approach to sketch Bethe-Salpeter equ…

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We study chiral symmetry breaking using the standard gap equation, supplemented with the infrared-finite gluon propagator and ghost dressing function obtained from large-volume lattice simulations. One of the most important ingredients of…

High Energy Physics - Phenomenology · Physics 2011-02-01 A. C. Aguilar , J. Papavassiliou

We summarize our results for light (pseudo-)scalar mesons at finite chemical potential and vanishing temperature. We extract the meson bound state wave functions, masses, and decay constants up to the first-order phase transition from the…

High Energy Physics - Phenomenology · Physics 2020-11-26 Pascal J. Gunkel , Christian S. Fischer , Philipp Isserstedt

The combined Dyson-Schwinger--Bethe-Salpeter equations are employed at non-zero temperature. The truncations refer to a rainbow-ladder approximation augmented with an interaction kernel which facilitates a special temperature dependence. At…

Nuclear Theory · Physics 2019-05-01 S. M. Dorkin , L. P. Kaptari , B. Kämpfer

The mass spectrum of heavy pseudoscalar mesons, described as quark-antiquark bound systems, is considered within the Bethe-Salpeter formalism with momentum-dependent masses of the constituents. This dependence is found by solving the…

Nuclear Theory · Physics 2011-03-07 S. M. Dorkin , T. Hilger , L. P. Kaptari , B. Kaempfer

We solve the Bethe-Salpeter equation in order to determine the spectrum of pseudoscalar and vector meson bound states for light as well as heavy quarks. The fermion propagators are obtained by solving the Schwinger-Dyson equation…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pankaj Jain , Herman J. Munczek

We solve the coupled Dyson-Schwinger equations for quark propagator and quark gluon vertex in the Nambu-Gorkov basis which is widely applied to study the color superconductivity. After considering the non-Abelian feature in the off-diagonal…

High Energy Physics - Phenomenology · Physics 2024-03-26 Fei Gao , Yi Lu , Yu-Xin Liu

Light meson spectra are studied in a Dyson-Schwinger/Bethe-Salpeter approach to QCD. By varying the interaction strength of three sets of models for the quark-antiquark interaction, the transition from the chiral symmetric to the chirally…

High Energy Physics - Phenomenology · Physics 2026-05-05 Reinhard Alkofer , Christian S. Fischer , Fabian Zierler

In this paper I investigate the analytic properties of the quark propagator Dyson-Schwinger equation (DSE) in the Landau gauge. In the quark self-energy, the combined gluon propagator and quark-gluon vertex is modeled by an effective…

High Energy Physics - Phenomenology · Physics 2017-04-26 Andreas Windisch

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

We investigate the dressed quark-gluon vertex combining two established non-perturbative approaches to QCD: the Dyson-Schwinger equation (DSE) for the quark propagator and lattice-regularized simulations for the quark, gluon and ghost…

High Energy Physics - Phenomenology · Physics 2015-06-16 E. Rojas , J. P. B. C. de Melo , B. El-Bennich , O. Oliveira , T. Frederico

Recently, we completed a comprehensive investigation of a huge part of the entire meson spectrum by considering both quarkonia and open-flavour mesons by means of a single common framework which unites the homogeneous Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2019-06-20 Thomas Hilger , María Gómez-Rocha , Andreas Krassnigg , Wolfgang Lucha

It is shown how the axial vector current of current quarks is related to that of constituent quarks within the framework of the global color symmetry model. Gluon dressing of the axial vector vertex and the quark self-energy functions is…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hong-shi Zong , Xiang-song Chen , Fan Wang , Chao-hsi Chang , En-guang Zhao

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

We propose to realize a mass gap in QCD by not imposing the transversality condition on the full gluon self-energy, while preserving the color gauge invariance condition for the full gluon propagator. This is justified by the nonlinear and…

High Energy Physics - Theory · Physics 2007-05-23 V. Gogokhia

Independent of assumptions about the form of the quark-quark scattering kernel, K, we derive the explicit relation between the flavour-nonsinglet pseudoscalar meson Bethe-Salpeter amplitude, Gamma_H, and the dressed-quark propagator in the…

Nuclear Theory · Physics 2008-11-26 P. Maris , C. D. Roberts

At the BCS level of chiral symmetry breaking, the mass gap equation for quark-antiquark condensation only uses the kernel of the Bethe-Salpeter equation. We introduce coupled channels with ladder mesons in the mass gap equation. Consistency…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Bicudo

We investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD. We use a non-Gaussian vacuum wave functional which includes the coupling of the quarks to the spatial gluons. The expectation…

High Energy Physics - Phenomenology · Physics 2020-01-08 Davide Campagnari , Hugo Reinhardt

The leading-twist parton distribution functions of the pion and kaon are calculated for the first time using a rainbow-ladder truncation of QCD's Dyson-Schwinger equations (DSEs) that self-consistently sums all planar diagrams. The…

Nuclear Theory · Physics 2020-02-05 Kyle D. Bednar , Ian C. Cloët , Peter C. Tandy

Features of the dressed-quark-gluon vertex and their role in the gap and Bethe-Salpeter equations are explored. It is argued that quenched lattice data indicate the existence of net attraction in the colour-octet projection of the…

Nuclear Theory · Physics 2010-03-04 M. S. Bhagwat , A. Hoell , A. Krassnigg , C. D. Roberts , P. C. Tandy

Recently, a theoretical framework was set up in [1], which allows for the symmetry-preserving inclusion of full quark-gluon vertices in the description of the meson dynamics. In the present work, we develop a special truncation within this…

High Energy Physics - Phenomenology · Physics 2025-12-05 Mauricio N. Ferreira , Angel S. Miramontes , Jose M. Morgado , Joannis Papavassiliou , Jan M. Pawlowski