English

Confining Bethe--Salpeter equation in QCD

High Energy Physics - Phenomenology 2016-11-03 v1

Abstract

We derive a confining qqˉ q \bar{q} Bethe--Salpeter equation starting from the same assumptions on the Wilson loop integral already adopted in the derivation of a semirelativistic heavy quark potential. We show that, by standard approximations, an effective meson squared mass operator can be obtained from our BS kernel and that, from this, by 1m2{1\over m^2} expansion, the corresponding Wilson loop potential is recovered, spin--dependent and velocity--dependent terms included. We also show, that, on the contrary, neglecting spin--dependent terms, relativistic flux tube model is reproduced.

Keywords

Cite

@article{arxiv.hep-ph/9505265,
  title  = {Confining Bethe--Salpeter equation in QCD},
  author = {N. Brambilla and G. M. Prosperi},
  journal= {arXiv preprint arXiv:hep-ph/9505265},
  year   = {2016}
}

Comments

5 pages, Latex, talk given at the workshop CONFINEMENT95, 22-24 March, Osaka