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We survey recent work on the properties and decays of mesons as bound states of confined quarks at both zero and finite temperature. The framework for these investigations is the set of QCD Dyson--Schwinger equations truncated to…

Nuclear Theory · Physics 2007-05-23 Pieter Maris , Peter C. Tandy

The Bethe-Salpeter equation for Wick-Cutkosky like models is solved in dressed ladder approximation. The bare vertex truncation of the Dyson-Schwinger equations for propagators is combined with the dressed ladder Bethe-Salpeter equation for…

High Energy Physics - Phenomenology · Physics 2009-11-07 Vladimir Sauli , Jiri Adam

Exploiting an interplay of the Bethe-Salpeter equation enabling us to regard mesons as bound states of quark and antiquark and the Dyson-Schwinger equation controlling the dressed quark propagator, we amend existing studies of quarkonia by…

High Energy Physics - Phenomenology · Physics 2019-06-03 Thomas Hilger , María Gómez-Rocha , Andreas Krassnigg , Wolfgang Lucha

A previous method for handling bound states in QCD is briefly revisited. Taking advantage of the Feynman-Schwinger representation for the iterated quark propagator in an external field, it is possible to give closed representations for…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Baldicchi , G. M. Prosperi

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

We develop 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 of…

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

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

In this work we devise a new method to study quark anti-quark interactions beyond simple ladder-exchange that yield massless pions in the chiral limit. The method is based on the requirement to have a representation of the quark-gluon…

High Energy Physics - Phenomenology · Physics 2015-06-18 Walter Heupel , Tobias Goecke , Christian S. Fischer

For a two-particle bound-state equation closer to its Bethe-Salpeter origins than Salpeter's equation, with effective-interaction kernel deliberately forged such as to ensure, in the limit of zero mass of the bound-state constituents, the…

High Energy Physics - Phenomenology · Physics 2018-03-02 Wolfgang Lucha , Franz F. Schoberl

In a strongly-coupled quark-gluon plasma, collective excitations of gluons and quarks should dominate over the excitation of individual quasi-free gluon and quark modes. To explore this possibility, we computed screening masses for…

Nuclear Theory · Physics 2015-06-12 Kun-lun Wang , Yu-xin Liu , Lei Chang , Craig D. Roberts , Sebastian M. Schmidt

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

The light quark-antiquark scattering Green's function is considered near a meson resonance peak. The Bethe-Salpeter equation is used to write formal expressions for the resonance width/mass ratio. Arguments are made concerning to what…

High Energy Physics - Phenomenology · Physics 2008-02-03 Dean Lee

Dyson-Schwinger equations provide a prominent approach to physics of strong interactions. To reproduce the hadronic phenomenology well, the Dyson-Schwinger approach in the rainbow-ladder approximation must employ an effective interaction…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dalibor Kekez , Dubravko Klabucar

We consider the solution of the Bethe-Salpeter equation in Euclidean metric for a qbar-q vector meson in the circumstance where the dressed quark propagators have time-like complex conjugate mass poles. This approximates features…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Bhagwat , M. A. Pichowsky , P. C. Tandy

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

In the heavy quark limit, a doubly heavy baryon is regarded as composed of a heavy diquark and a light quark. We establish the Bethe-Salpeter (BS) equations for the heavy diquarks and the doubly heavy baryons, respectively, to leading order…

High Energy Physics - Phenomenology · Physics 2011-03-22 M. -H. Weng , X. -H. Guo , A. W. Thomas

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 the heavy quark limit, we establish the Bethe-Salpeter equations for the ground state $QQ^{\prime} \bar u \bar d$ containing one heavy diquark $QQ^{\prime}$ ($Q, Q^{\prime}=b$ or $c$) and one light antidiquark $\bar u \bar d$. We solve…

High Energy Physics - Phenomenology · Physics 2013-10-01 G. -Q. Feng , X. -H. Guo , B. -S. Zou

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 reduced Bethe-Salpeter equation with scalar confinement and vector gluon exchange is applied to quark-antiquark bound states. The so called intrinsic flaw of Salpeter equation with static scalar confinement is investigated. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 Cong-feng Qiao , Han-Wen Huang , Kuang-Ta Chao