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Beyond the rainbow: effects from pion back-coupling

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arxiv 0808.3372 v2 pith:EK5BK6CD submitted 2008-08-25 hep-ph nucl-th

classification hep-phnucl-th
keywords effectsback-couplingbethe-salpeterequationslightmesonspionunquenching
verification ladder T0 review T1 audit T2 compute T3 formal

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We investigate hadronic unquenching effects in light quarks and mesons. To this end we take into account the back-coupling of the pion onto the quark propagator within the non-perturbative continuum framework of Schwinger-Dyson equations (SDE) and Bethe-Salpeter equations (BSE). We improve on a previous approach by explicitly solving both the coupled system of DSEs and BSEs in the complex plane and the normalisation problem for Bethe-Salpeter kernels depending on the total momentum of the meson. As a result of our study we find considerable unquenching effects in the spectrum of light pseudoscalar, vector and axial-vector mesons.

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  1. The causal structure of the quark propagator

    hep-ph 2024-12 conditional novelty 7.0 of 10

    In a spectral DSE computation, the quark propagator develops complex-conjugate poles when the classical quark-gluon vertex strength exceeds a critical value, while the full QCD strength is predicted to stay below that value.

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