Confining Bethe--Salpeter equation from scalar QCD
High Energy Physics - Phenomenology
2016-09-01 v1 High Energy Physics - Theory
Abstract
We give a nonperturbative derivation of the Bethe--Salpeter equation based on the Feynman--Schwinger path integral representation of the one--particle propagator in an external field. We apply the method to the quark--antiquark system in scalar QCD and obtain a confining BS equation assuming the Wilson area law in the straight line approximation. The result is strictly related to the relativistic flux tube model and to the semirelativistic potential.
Cite
@article{arxiv.hep-ph/9501206,
title = {Confining Bethe--Salpeter equation from scalar QCD},
author = {N. Brambilla and G. M. Prosperi},
journal= {arXiv preprint arXiv:hep-ph/9501206},
year = {2016}
}
Comments
22 pages, revtex (1 figure appended as uu-encoded file, to include after uncompressing with epsf.sty)