Journal article

Publication year: 2004

Pages: 99-115

Journal: Few-Body Systems

Volume number: 35

Issue number: 3-4

ISSN: 0177-7963

eISSN: 1432-5411

DOI Link: https://doi.org/10.1007/s00601-004-0063-1

Publisher: Springer

Abstract: 
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.

Harvard Citation style: Watson, P. and Cassing, W. (2004) Unquenching the quark-antiquark Green's function, Few-Body Systems, 35(3-4), pp. 99-115. https://doi.org/10.1007/s00601-004-0063-1

APA Citation style: Watson, P., & Cassing, W. (2004). Unquenching the quark-antiquark Green's function. Few-Body Systems. 35(3-4), 99-115. https://doi.org/10.1007/s00601-004-0063-1