Aspects and consequences of a dressed-quark-gluon vertex

M. S. Bhagwat, A. Höll, A. Krassnigg, C. D. Roberts, and P. C. Tandy
Phys. Rev. C 70, 035205 – Published 24 September 2004

Abstract

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 color-octet projection of the quark-antiquark scattering kernel. The study employs a vertex model whose diagrammatic content is explicitly enumerable. That enables the systematic construction of a vertex-consistent Bethe-Salpeter kernel and thereby an exploration of the consequences for the strong interaction spectrum of attraction in the color-octet channel. With rising current-quark mass the rainbow-ladder truncation is shown to provide an increasingly accurate estimate of a bound state’s mass. Moreover, the calculated splitting between vector and pseudoscalar meson masses vanishes as the current-quark mass increases, which argues for the mass of the pseudoscalar partner of the Υ(1S) to be above 9.4GeV. With the amount of attraction suggested by lattice data color-antitriplet diquarks are absent from the strong interaction spectrum.

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  • Received 2 March 2004

DOI:https://doi.org/10.1103/PhysRevC.70.035205

©2004 American Physical Society

Authors & Affiliations

M. S. Bhagwat1, A. Höll2, A. Krassnigg2, C. D. Roberts2,3, and P. C. Tandy

  • 1Center for Nuclear Research, Department of Physics, Kent State University, Kent, Ohio 44242, USA
  • 2Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4843, USA
  • 3Fachbereich Physik, Universität Rostock, D-18051 Rostock, Germany

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Issue

Vol. 70, Iss. 3 — September 2004

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