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arXiv · hep-ph/9501206

Confining Bethe--Salpeter equation from scalar QCD

N. Brambilla·G. M. Prosperi
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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 $q \bar{q}$ semirelativistic potential.

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N. Brambilla, G. M. Prosperi. 1995-01-03. Confining Bethe--Salpeter equation from scalar QCD. https://arxiv.org/abs/hep-ph/9501206

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