Color-suppression of non-planar diagrams in bosonic bound states
Abstract
We study the suppression of non-planar diagrams in a scalar QCD model of a meson system in 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 , which supports the use of rainbow-ladder truncations in practical non-perturbative calculations within QCD.
- Authors:
- Publication Date:
- Research Org.:
- North Carolina State University, Raleigh, NC (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1413559
- Alternate Identifier(s):
- OSTI ID: 1499277
- Grant/Contract Number:
- FG02-03ER41260
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters B
- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 777 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Alvarenga Nogueira, J. H., Ji, Chueng-Ryong, Ydrefors, E., and Frederico, T. Color-suppression of non-planar diagrams in bosonic bound states. Netherlands: N. p., 2018.
Web. doi:10.1016/j.physletb.2017.12.032.
Alvarenga Nogueira, J. H., Ji, Chueng-Ryong, Ydrefors, E., & Frederico, T. Color-suppression of non-planar diagrams in bosonic bound states. Netherlands. https://doi.org/10.1016/j.physletb.2017.12.032
Alvarenga Nogueira, J. H., Ji, Chueng-Ryong, Ydrefors, E., and Frederico, T. Thu .
"Color-suppression of non-planar diagrams in bosonic bound states". Netherlands. https://doi.org/10.1016/j.physletb.2017.12.032.
@article{osti_1413559,
title = {Color-suppression of non-planar diagrams in bosonic bound states},
author = {Alvarenga Nogueira, J. H. and Ji, Chueng-Ryong and Ydrefors, E. and Frederico, T.},
abstractNote = {We study the suppression of non-planar diagrams in a scalar QCD model of a meson system in 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 , which supports the use of rainbow-ladder truncations in practical non-perturbative calculations within QCD.},
doi = {10.1016/j.physletb.2017.12.032},
journal = {Physics Letters B},
number = C,
volume = 777,
place = {Netherlands},
year = {2018},
month = {2}
}
https://doi.org/10.1016/j.physletb.2017.12.032
Web of Science
Figures / Tables:

Works referencing / citing this record:
Relativistic Studies of Few-Body Systems Using the Bethe–Salpeter Approach
journal, June 2018
- Nogueira, J. H. Alvarenga; Ydrefors, E.; Frederico, T.
- Few-Body Systems, Vol. 59, Issue 5
Figures / Tables found in this record: