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

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}
}
  • 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 themore » 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. With the more consistent vertex used here, the error in ladder-rainbow truncation for vector mesons is never more than 10% as the current quark mass is varied from the u/d region to the b region.« less
  • We extend recent studies of the effects of quark-gluon vertex dressing upon the solutions of the Dyson-Schwinger equation for the quark propagator. A momentum delta function is used to represent the dominant infrared strength of the effective gluon propagator so that the resulting integral equations become algebraic. The guark-gluon vertex is constructed from the complete set of diagrams involving only 2-point gluon lines. The additional diagrams, including those with crossed gluon lines, are shown to make an important contribution to the DSE solutions for the quark propagator, because of their large color factors and the rapid growth in their number.
  • The nucleon-meson vertex structure is discussed by using the transition potential of one-gluon exchange with the production of a quark-antiquark pair, which is deduced from quark-gluon interaction, based on the nonrelativistic quark model. The transition probabilities for nucleon..-->..nucleon+meson, obtained by generator-coordinate method, show that the mesons exchanged in the nucleon-nucleon interaction are produced mainly in the surface region of a nucleon. However, there also exist some probabilities of finding mesons inside a nucleon. The fact that the relative probability of ..pi.. meson is largest in the long-range interaction shows its importance in the processes of meson exchange. The effect ofmore » meson size on probabilities, which shows the coupling strength of meson and nucleon, is also discussed.« less
  • No abstract prepared.