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

Abstract

The derivation of the $q\bar{q}$ and the $3q$ 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 $q\bar{q}$ Bethe--Salpeter equation with a confining kernel for spinless quarks. IFUM 482/FT

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