Quarkgluon vertex dressing and meson masses beyond ladderrainbow truncation
Abstract
We include a generalized infinite class of quarkgluon vertex dressing diagrams in a study of how dynamics beyond the ladderrainbow truncation influences the BetheSalpeter description of lightquark pseudoscalar and vector mesons. The diagrammatic specification of the vertex is mapped into a corresponding specification of the BetheSalpeter 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 BetheSalpeter kernel, each quarkgluon vertex is required to be the selfconsistent vertex solution. We also adopt from previous work the effective accounting for the role of the explicitly nonAbelian threegluon coupling in a global manner through one parameter determined from recent latticeQCD data for the vertex. Within the current model, the more consistent dressed vertex limits the ladderrainbow 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:
 Louisiana State University, Department of Physics and Astronomy, 202 Nicholson Hall, Tower Dr., Louisiana 70803 (United States)
 (United States)
 (Russian Federation)
 Thomas Jefferson National Accelerator Facility, 12000 Jefferson Ave., Newport News, Virginia 23606 (United States)
 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; BETHESALPETER 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. Quarkgluon vertex dressing and meson masses beyond ladderrainbow 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. Quarkgluon vertex dressing and meson masses beyond ladderrainbow 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 .
"Quarkgluon vertex dressing and meson masses beyond ladderrainbow truncation". United States.
doi:10.1103/PHYSREVC.75.045201.
@article{osti_20995226,
title = {Quarkgluon vertex dressing and meson masses beyond ladderrainbow 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 quarkgluon vertex dressing diagrams in a study of how dynamics beyond the ladderrainbow truncation influences the BetheSalpeter description of lightquark pseudoscalar and vector mesons. The diagrammatic specification of the vertex is mapped into a corresponding specification of the BetheSalpeter 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 BetheSalpeter kernel, each quarkgluon vertex is required to be the selfconsistent vertex solution. We also adopt from previous work the effective accounting for the role of the explicitly nonAbelian threegluon coupling in a global manner through one parameter determined from recent latticeQCD data for the vertex. Within the current model, the more consistent dressed vertex limits the ladderrainbow 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 quarkgluon vertex dressing diagrams in a study of how dynamics beyond the ladderrainbow truncation influences the BetheSalpeter description of light quark pseudoscalar and vector mesons. The diagrammatic specification of the vertex is mapped into a corresponding specification of the BetheSalpeter 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 BetheSalpeter kernel, each quarkgluon vertex is required to be themore »

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