English

Beyond the rainbow: effects from pion back-coupling

High Energy Physics - Phenomenology 2008-11-26 v2 Nuclear Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0808.3372,
  title  = {Beyond the rainbow: effects from pion back-coupling},
  author = {Christian S. Fischer and Richard Williams},
  journal= {arXiv preprint arXiv:0808.3372},
  year   = {2008}
}

Comments

9 pages, 5 figures. Minor typos corrected. Version to appear in PRD

R2 v1 2026-06-21T11:13:34.474Z