Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8187178 | Physics Letters B | 2018 | 5 Pages |
Abstract
We study the suppression of non-planar diagrams in a scalar QCD model of a meson system in 3+1 space-time dimensions due to the inclusion of the color degrees of freedom. As a prototype of the color-singlet meson, we consider a flavor-nonsinglet system consisting of a scalar-quark and a scalar-antiquark with equal masses exchanging a scalar-gluon of a different mass, which is investigated within the framework of the homogeneous Bethe-Salpeter equation. The equation is solved by using the Nakanishi representation for the manifestly covariant bound-state amplitude and its light-front projection. The resulting non-singular integral equation is solved numerically. The damping of the impact of the cross-ladder kernel on the binding energies are studied in detail. The color-suppression of the cross-ladder effects on the light-front wave function and the elastic electromagnetic form factor are also discussed. As our results show, the suppression appears significantly large for Nc=3, which supports the use of rainbow-ladder truncations in practical non-perturbative calculations within QCD.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
J.H. Alvarenga Nogueira, Chueng-Ryong Ji, E. Ydrefors, T. Frederico,