Quark--Antiquark Bethe--Salpeter Equation in QCD
| dc.creator | Brambilla, N. | |
| dc.creator | Prosperi, G. M. | |
| dc.date | 1995-10-03 | |
| dc.date.accessioned | 2026-07-07T03:58:16Z | |
| dc.date.available | 2026-07-07T03:58:16Z | |
| dc.description | We review our recent results \cite{bsult} on the derivation of a B-S equation in QCD in a Wilson loop context. We work in a second order formalism, use the Feynman--Schwinger path integral representation for a quark in external field and obtain a similar expression for a quark--antiquark amplitude in which the gauge fields appears only through the Wilson loop integral $W$. A $ q \bar{q}$ B-S equation is obtained starting from this expression under the assumption, already used in the derivation of heavy quark potential, that $i \ln W$ can be expressed as the sum of a perturbative contribution and an area term. The intrinsically nonperturbative derivation method is first discussed on the simpler case of two spinless particles interacting through a scalar field. The $q \bar{q}$ semirelativistic potential is reobtained in the large quark mass limit. | |
| dc.description | 16 pages, latex; Talk given at the ``Non--perturbative approaches to QCD'' workshop at ECT* in Trento | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9510214 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9510214 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/45744 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Quark--Antiquark Bethe--Salpeter Equation in QCD | |
| dc.type | text |