First look at heavy-light mesons with a dressed quark-gluon vertex

Abstract

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 system. We adopt a simple interaction kernel which reduces the resulting set of coupled integral equations to a set of coupled algebraic equations, which are solved numerically. In this way, we extend previous studies to quark-antiquark systems with unequal current-quark masses, at first for the pseudoscalar case, and investigate the resulting set of problems and solutions. We attempt to find patterns in - as well as to quantify corrections to - the rainbow-ladder truncation. In addition, we open this approach to phenomenological predictions of the heavy quark symmetry.

6 pages, 8 figures, presented by Maria Gomez-Rocha at Light-Cone 2014, NC State University, Raleigh, USA, 26 - 30 May, 2014, updated regarding reviewer comments

References in corpus (12)

• Sketching the Bethe-Salpeter kernel
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Vector meson form factors and their quark-mass dependence
• Beyond the rainbow: effects from pion back-coupling
• Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation
• Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
• Hadron Physics and the Dyson--Schwinger Equations of QCD
• Beyond Rainbow-Ladder in bound state equations
• A covariant study of tensor mesons
• Matrix algorithms for solving (in)homogeneous bound state equations
• Nucleon Compton scattering in the Dyson-Schwinger approach
• Consequences Of Fully Dressing Quark-Gluon Vertex Function With Two-Point Gluon Lines

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