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- Title
Comments on Formulating Meson Bound-State Equations Beyond Rainbow-Ladder Approximation.
- Authors
Qin, Si-xue
- Abstract
We study mesons through solving the coupled system of the gap equation for the quark propagator and the Bethe-Salpeter equation for the meson wavefunction. The gap equation and Bethe-Salpeter equation are in fact members of infinitely coupled Dyson-Schwinger equations of Green functions of QCD. To make it solvable, the system must be truncated. The simplest rainbow-ladder truncation is widely used but shows drawbacks in many aspects. To improve the simplest truncation, we analyze symmetries of the fundamental theory and solve the corresponding Ward-Green-Takahashi identities. Then, the elements of the coupled system, i.e., the quark-gluon vertex and the quark-antiquark scattering kernel, can be constructed accordingly.
- Subjects
BOUND states; QUARK-gluon scattering; MESONS; KERNEL functions; COUPLED mode theory (Wave-motion); QUANTUM chromodynamics
- Publication
Few-Body Systems, 2016, Vol 57, Issue 11, p1059
- ISSN
0177-7963
- Publication type
Article
- DOI
10.1007/s00601-016-1149-2