skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
ORCiD logo; ; ;
Publication Date:
Research Org.:
North Carolina State Univ., 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. doi: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. doi: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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1016/j.physletb.2017.12.032

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Figures / Tables:

Fig. 1. Fig. 1. : Cross-ladder graph with color matrices.

Save / Share:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.