Bethe-Salpeter studies of mesons beyond rainbow-ladder

Abstract

We investigate the masses of light mesons from a coupled system of Dyson-Schwinger and Bethe-Salpeter equations. The dominant non-Abelian and sub-leading Abelian contributions to the dressed quark-gluon vertex are explicitly taken into account. We also include unquenching effects in the form of hadronic resonance contributions via the back-reaction of pions. We construct the corresponding Bethe--Salpeter kernel that satisfies the axial-vector Ward-Takahashi identity. Our numerical treatment fully includes all momentum dependencies with all equations solved completely in the complex plane. This approach goes well beyond the rainbow-ladder approximation and permits us to investigate the relative impact of different corrections beyond rainbow-ladder on the properties of mesons. We find that sub-leading Abelian corrections are further suppressed dynamically, and that our results supersede early qualitative predictions with significantly simpler truncation schemes.

12 pages, 8 figures, 3 tables. Contributed to the 19th International IUPAP Conference on Few-Body Problems in Physics, Bonn, Germany, August 31 - September 5, 2009

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• Hidden-flavour four-quark states in the charm and bottom region
• Masses and decay constants of (axial-)vector mesons at finite chemical potential
• Bound state structure and electromagnetic form factor beyond the ladder approximation
• Hadronic bound-states in SU(2) from Dyson--Schwinger Equations
• The Quark Propagator in a Truncation Scheme beyond the Rainbow Approximation
• The rainbow modified-ladder approximation and degenerate pion
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