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

Journal Article · Sun Apr 01 04:00:00 EDT 2007 · Phys.Rev.C

DOI:https://doi.org/10.1103/PhysRevC.75.045201· OSTI ID:882495

Matevosyan, Hrayr; Thomas, Anthony; Tandy, Peter

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. 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.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA
• Sponsoring Organization: USDOE - Office of Energy Research (ER)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 882495
• Report Number(s): JLAB-THY-06-497; DOE/ER/40150-3881
• Journal Information: Phys.Rev.C, Journal Name: Phys.Rev.C Vol. 75
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
GLUONS
KERNELS
MESONS
PSEUDOSCALARS
QUARKS
SPECIFICATIONS
VECTOR MESONS