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Recent progress in modeling QCD for hadron physics through truncated Dyson-Schwinger equations is reviewed. Special emphasis is put upon comparison of dressed quark propagators and the dressed quark-gluon vertex with lattice-QCD results.

Nuclear Theory · Physics 2009-11-10 P. C. Tandy

Solving the homogeneous Bethe-Salpeter equation directly in Minkowski space is becoming a very alive field, since, in recent years, a new approach has been introduced, and the reachable results can be potentially useful in various areas of…

High Energy Physics - Theory · Physics 2019-04-19 Giovanni Salmè

The Bethe-Salpeter equation and leptonic decay constants for pseudoscalar and vector quark-antiquark mesons with arbitrary quark masses are studied in Coulomb gauge, under a leading order truncation. As input, we use a pure linear rising…

High Energy Physics - Phenomenology · Physics 2013-05-30 Peter Watson , Hugo Reinhardt

The phase diagram of dense QCD at nonvanishing temperatures and large quark chemical potentials is studied with Dyson-Schwinger equations for 2+1 quark flavors, focusing on color-superconducting phases with 2SC and CFL-like pairing. The…

High Energy Physics - Phenomenology · Physics 2016-03-10 Daniel Müller , Michael Buballa , Jochen Wambach

In line with some previous works, we study in this paper the meson spectrum in the framework of a second order quark-antiquark Bethe-Salpeter formalism which includes confinement. An analytic one loop running coupling constant alpha_s(Q),…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Baldicchi , G. M. Prosperi

Preliminary results of a work in collaboration with M.R. Pennington are presented. Extending a scheme introduced by Tornqvist, we investigate a dynamical model in which the spectrum of scalar mesons can be derived, with the aim of locating…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Boglione

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

The most popular 3-dimensional reduction of the Bethe-Salpeter formalism for the description of bound states within quantum field theory is the Salpeter equation, found as the instantaneous limit of the Bethe-Salpeter framework if allowing,…

High Energy Physics - Phenomenology · Physics 2009-06-25 Wolfgang Lucha

We provide a new, independent, and analytic estimate of the lowest glueball mass, and we found it at 1661 MeV within a relativistic quantum-field model based on analytic confinement. The conventional mesons and the weak decay constants are…

High Energy Physics - Phenomenology · Physics 2009-04-23 G. Ganbold

We propose a model describing the scattering of hadrons as bound states of their constituent quarks. We analyze the role of simultaneity in measurements of the characteristics of different particles for the description of relativistic…

Deep-inelastic structure functions are studied within a covariant scalar diquark spectator model of the nucleon. Treating the target as a two-body bound state of a quark and a scalar diquark, the Bethe-Salpeter equation (BSE) for the bound…

High Energy Physics - Phenomenology · Physics 2010-02-17 K. Kusaka , G. Piller , A. W. Thomas , A. G. Williams

We study large-$N_c$ scalar QCD$_2$, a $1+1$-dimensional confining gauge theory with fundamental scalar quarks, whose meson spectrum is governed by a Bethe-Salpeter equation structurally parallel to the 't Hooft equation. Exploiting this…

High Energy Physics - Theory · Physics 2025-09-24 Pavel Meshcheriakov

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

Preliminary calculations using the Covariant Spectator Theory (CST) employed a scalar linear confining interaction and an additional constant vector potential to compute the mesonic mass spectra. In this work we generalize the confining…

High Energy Physics - Phenomenology · Physics 2016-04-20 Sofia Leitão , Alfred Stadler , M. T. Peña , Elmar P. Biernat

We employ the framework of Bethe-Salpeter equation under Covariant Instantaneous Ansatz to study the leptonic decays of pseudoscalar mesons. The Dirac structure of hadron-quark vertex function $\Gamma $ is generalized to include various…

High Energy Physics - Phenomenology · Physics 2011-11-10 Shashank Bhatnagar , Shi-Yuan Li

We study glueballs on two $N_f=2+1$ RBC/UKQCD gauge ensembles with physical quark masses at two lattice spacings. The statistical uncertainties of the glueball correlation functions are considerably reduced through the cluster decomposition…

High Energy Physics - Lattice · Physics 2023-06-07 Feiyu Chen , Xiangyu Jiang , Ying Chen , Keh-Fei Liu , Wei Sun , Yi-Bo Yang

The Schwinger-Dyson Bethe-Salpeter approach to the bound state problem is applied to the spin zero glueball spectrum. Although a moderately successful description of the two point functions and the glueball spectrum can be obtained, further…

High Energy Physics - Phenomenology · Physics 2013-03-14 Joseph Meyers , Eric S. Swanson

Pion and kaon observables are calculated using a Dyson-Schwinger Bethe-Salpeter formalism. It is shown that an infrared finite gluon propagator can lead to quark confinement via generation of complex mass poles in quark propagators.…

High Energy Physics - Phenomenology · Physics 2009-10-30 Cetin Savkli , Frank Tabakin

Since long-lived light bottom squark (sbottom) and its anti-particle with a mass close to the bottom quark have not been excluded by experiments so far, we consider such a sbottom to combine with its anti-particle to form a color singlet…

High Energy Physics - Phenomenology · Physics 2018-01-17 Chao-Hsi Chang , Jian Ying Cui , Jin Min Yang

Achieving self-consistent simultaneous interpretations of pions and kaons as bound states of quark and antiquark and as the (almost) massless boson states related, according to Goldstone's theorem, to the dynamical (and explicit) breakdown…

High Energy Physics - Phenomenology · Physics 2018-03-22 Wolfgang Lucha , Franz F. Schoberl