Unquenching the Quark-Antiquark Green's Function

Details Unquenching the Quark-Antiquark Green's Function Unquenching the Quark-Antiquark Green's Function

2004-05-28

arxiv.org/abs/hep-ph/0405287v1

Few Body Syst. 35 (2004) 99-115

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 13 figures

Scientific paper

We propose a nonperturbative resummation scheme for the four-point connected quark-antiquark Green's function $G^4$ that shows how the Bethe-Salpeter equation may be `unquenched' with respect to quark-antiquark loops. This mechanism allows to dynamically account for hadronic meson decays and multiquark structures whilst respecting the underlying symmetries. An initial approximation to the four-point Schwinger-Dyson equation -- suitable for phenomenological application -- is examined numerically in a couple of aspects. It is demonstrated that this approximation explicitly maintains the correct asymptotic limits and contains the physical resonance structures in the near timelike region in the quark-antiquark channel whereas no resonances are found in the diquark channel, respectively.

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