A Linear Equation for Wilson Loops

dc.creatorOlesen, Poul
dc.date2007-12-06
dc.date2008-02-01
dc.date.accessioned2026-07-07T11:13:37Z
dc.date.available2026-07-07T11:13:37Z
dc.descriptionThe Makeenko-Migdal loop equation is non-linear and first order in the area derivative, but we show that for simple loops in QCD$_2$ it is possible to reformulate this equation as a linear equation with second order derivatives. This equation is a bound state Schrödinger equation with a three dimensional Coulomb potential. Thus, loop dynamics leads to a surprising new picture of confinement, where this phenomenon is due to a (bound state) localization in loop space, with the Wilson loops decaying exponentially outside a characteristic radius.
dc.description6 pages. Some comments added
dc.identifierhttps://arxiv.org/abs/0712.0923
dc.identifierhttp://arxiv.org/abs/0712.0923
dc.identifierPhys.Lett.B660:597-599,2008
dc.identifierdoi:10.1016/j.physletb.2008.01.036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191782
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA Linear Equation for Wilson Loops
dc.typetext

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