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Wilson loops, q q and 3 q potentials, Bethe--Salpeter equation

1994/10/17 by Nora Brambilla, N. Brambilla, Brambilla, N. +2
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematics and Applications #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9410118

13 pages, Latex file, 1 figure available upon request, Talk given at the workshop ``Quark confinement and the hadron spectrum'', 20--24 June 1994, Como, Italy

openalex publication_date 1994/10/17 · arxiv created 1994/11/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The derivation of the q q and the 3q potential for two dynamical quarks in a Wilson--loop context is reviewed. Some improvements are introduced. Only the usual assumptions in the evaluation of the Wilson loop integrals and expansions in the quark velocities are required for the result. It is shown that under the same assumptions it is possible to obtain the relativistic flux--tube lagrangian and a q q Bethe--Salpeter equation with a confining kernel for spinless quarks. IFUM 482/FT

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