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Title: Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation

Abstract

We include a generalized infinite class of quark-gluon vertex dressing diagrams in a study of how dynamics beyond the ladder-rainbow truncation influences the Bethe-Salpeter description of light-quark pseudoscalar and vector mesons. The diagrammatic specification of the vertex is mapped into a corresponding specification of the Bethe-Salpeter kernel, which preserves chiral symmetry. This study adopts the algebraic format afforded by the simple interaction kernel used in previous work on this topic. The new feature of the present work is that in every diagram summed for the vertex and the corresponding Bethe-Salpeter kernel, each quark-gluon vertex is required to be the self-consistent vertex solution. We also adopt from previous work the effective accounting for the role of the explicitly non-Abelian three-gluon coupling in a global manner through one parameter determined from recent lattice-QCD data for the vertex. Within the current model, the more consistent dressed vertex limits the ladder-rainbow truncation error for vector mesons to be never more than 10% as the current quark mass is varied from the u/d region to the b region.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Louisiana State University, Department of Physics and Astronomy, 202 Nicholson Hall, Tower Dr., Louisiana 70803 (United States)
  2. (United States)
  3. (Russian Federation)
  4. Thomas Jefferson National Accelerator Facility, 12000 Jefferson Ave., Newport News, Virginia 23606 (United States)
  5. Center for Nuclear Research, Department of Physics, Kent State University, Kent, Ohio 44242 (United States)
Publication Date:
OSTI Identifier:
20995226
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.75.045201; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BETHE-SALPETER EQUATION; CHIRAL SYMMETRY; D QUARKS; D REGION; GLUONS; KERNELS; MASS; QUANTUM CHROMODYNAMICS; U QUARKS; VECTOR MESONS

Citation Formats

Matevosyan, Hrayr H., Thomas Jefferson National Accelerator Facility, 12000 Jefferson Ave., Newport News, Virginia 23606, Laboratory of Theoretical Physics, JINR, Dubna, Thomas, Anthony W., and Tandy, Peter C. Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.045201.
Matevosyan, Hrayr H., Thomas Jefferson National Accelerator Facility, 12000 Jefferson Ave., Newport News, Virginia 23606, Laboratory of Theoretical Physics, JINR, Dubna, Thomas, Anthony W., & Tandy, Peter C. Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation. United States. doi:10.1103/PHYSREVC.75.045201.
Matevosyan, Hrayr H., Thomas Jefferson National Accelerator Facility, 12000 Jefferson Ave., Newport News, Virginia 23606, Laboratory of Theoretical Physics, JINR, Dubna, Thomas, Anthony W., and Tandy, Peter C. Sun . "Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation". United States. doi:10.1103/PHYSREVC.75.045201.
@article{osti_20995226,
title = {Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation},
author = {Matevosyan, Hrayr H. and Thomas Jefferson National Accelerator Facility, 12000 Jefferson Ave., Newport News, Virginia 23606 and Laboratory of Theoretical Physics, JINR, Dubna and Thomas, Anthony W. and Tandy, Peter C.},
abstractNote = {We include a generalized infinite class of quark-gluon vertex dressing diagrams in a study of how dynamics beyond the ladder-rainbow truncation influences the Bethe-Salpeter description of light-quark pseudoscalar and vector mesons. The diagrammatic specification of the vertex is mapped into a corresponding specification of the Bethe-Salpeter kernel, which preserves chiral symmetry. This study adopts the algebraic format afforded by the simple interaction kernel used in previous work on this topic. The new feature of the present work is that in every diagram summed for the vertex and the corresponding Bethe-Salpeter kernel, each quark-gluon vertex is required to be the self-consistent vertex solution. We also adopt from previous work the effective accounting for the role of the explicitly non-Abelian three-gluon coupling in a global manner through one parameter determined from recent lattice-QCD data for the vertex. Within the current model, the more consistent dressed vertex limits the ladder-rainbow truncation error for vector mesons to be never more than 10% as the current quark mass is varied from the u/d region to the b region.},
doi = {10.1103/PHYSREVC.75.045201},
journal = {Physical Review. C, Nuclear Physics},
number = 4,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}