Color-suppression of non-planar diagrams in bosonic bound states

Alvarenga Nogueira, J. H.; Ji, Chueng-Ryong; Ydrefors, E.; Frederico, T.

doi:10.1016/j.physletb.2017.12.032

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:

; Ji, Chueng-Ryong; Ydrefors, E.; Frederico, T.

Publication Date:: Thu Feb 01 00:00:00 EST 2018

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.

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                    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

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                    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.

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@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         = {Thu Feb 01 00:00:00 EST 2018},

  month        = {Thu Feb 01 00:00:00 EST 2018}

}

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

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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
DOI: 10.1007/s00601-018-1418-3

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Title: Color-suppression of non-planar diagrams in bosonic bound states

Abstract

Citation Formats

Figures / Tables:

Relativistic Studies of Few-Body Systems Using the Bethe–Salpeter Approach journal, June 2018

Relativistic Studies of Few-Body Systems Using the Bethe–Salpeter Approach
journal, June 2018