Random walks of Wilson loops in the screening regime

dc.creatorBuividovich, P. V.
dc.creatorPolikarpov, M. I.
dc.date2007-04-25
dc.date2007-09-09
dc.date.accessioned2026-07-07T10:59:45Z
dc.date.available2026-07-07T10:59:45Z
dc.descriptionDynamics of Wilson loops in pure Yang-Mills theories is analyzed in terms of random walks of the holonomies of the gauge field on the gauge group manifold. It is shown that such random walks should necessarily be free. The distribution of steps of these random walks is related to the spectrum of string tensions of the theory and to certain cumulants of Yang-Mills curvature tensor. It turns out that when colour charges are completely screened, the holonomies of the gauge field can change only by the elements of the group center, which indicates that in the screening regime confinement persists due to thin center vortices. Thick center vortices are also considered and the emergence of such stepwise changes in the limits of infinitely thin vortices and infinitely large loops is demonstrated.
dc.descriptionMajor revision of the previous version, to appear in Nucl. Phys. B (10 pages RevTeX, 3 figures)
dc.identifierhttps://arxiv.org/abs/0704.3367
dc.identifierhttp://arxiv.org/abs/0704.3367
dc.identifierNucl.Phys.B790:28-41,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.08.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187512
dc.subjectHigh Energy Physics - Phenomenology
dc.titleRandom walks of Wilson loops in the screening regime
dc.typetext

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