Confining Bethe--Salpeter equation from scalar QCD
N. Brambilla, G. M. Prosperi
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 q q semirelativistic potential.
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