arXiv:1802.05515·v1·High Energy Physics — Phenomenology
Equation for the Nakanishi weight function using the inverse Stieltjes transform
V.A. Karmanov🇷🇺 · J. Carbonell🇫🇷 · T. Frederico🇧🇷
Abstract
The bound state Bethe-Salpeter amplitude was expressed by Nakanishi in terms of a smooth weight function g. By using the generalized Stieltjes transform, we derive an integral equation for the Nakanishi function g for a bound state case. It has the standard form g= Vg, where V is a two-dimensional integral operator. The prescription for obtaining the kernel V starting with the kernel K of the Bethe-Salpeter equation is given.
Comments: 7 pages