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

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

1994-10-17

arxiv.org/abs/hep-th/9410118v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex file, 1 figure available upon request, Talk given at the workshop ``Quark confinement and the hadron spectrum'

Scientific paper

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

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