1995/10/03 by Nora Brambilla, N. Brambilla, Brambilla, N. +2
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9510214
16 pages, latex; Talk given at the ``Non--perturbative approaches to QCD'' workshop at ECT* in Trento
arxiv created 1995/10/03 · openalex publication_date 1995/10/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review our recent results \citebsult 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 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 q semirelativistic potential is reobtained in the large quark mass limit.