Confining Bethe--Salpeter equation from scalar QCD

Details Confining Bethe--Salpeter equation from scalar QCD Confining Bethe--Salpeter equation from scalar QCD

1995-01-03

arxiv.org/abs/hep-ph/9501206v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, revtex (1 figure appended as uu-encoded file, to include after uncompressing with epsf.sty)

Scientific paper

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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