English

Wilson loops, $q \bar{q}$ and $3 q$ potentials, Bethe--Salpeter equation

High Energy Physics - Theory 2008-02-03 v2 High Energy Physics - Phenomenology

Abstract

The derivation of the qqˉ q \bar q and the 3q 3q potential for two dynamical quarks in a Wilson--loop context is reviewed. Some improvements are introduced. Only the usual assumptions in the evaluation of the Wilson loop integrals and expansions in the quark velocities are required for the result. It is shown that under the same assumptions it is possible to obtain the relativistic flux--tube lagrangian and a qqˉ q \bar{q} Bethe--Salpeter equation with a confining kernel for spinless quarks. IFUM 482/FT

Keywords

Cite

@article{arxiv.hep-th/9410118,
  title  = {Wilson loops, $q \bar{q}$ and $3 q$ potentials, Bethe--Salpeter equation},
  author = {N. Brambilla and G. M. Prosperi},
  journal= {arXiv preprint arXiv:hep-th/9410118},
  year   = {2008}
}

Comments

13 pages, Latex file, 1 figure available upon request, Talk given at the workshop ``Quark confinement and the hadron spectrum'', 20--24 June 1994, Como, Italy