Kramers-Moyall cumulant expansion for the probability distribution of parallel transporters in quantum gauge fields

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dc.creatorBuividovich, P. V.
dc.creatorKuvshinov, V. I.
dc.date2006-05-21
dc.date.accessioned2026-07-07T07:13:36Z
dc.date.available2026-07-07T07:13:36Z
dc.descriptionA general equation for the probability distribution of parallel transporters on the gauge group manifold is derived using the cumulant expansion theorem. This equation is shown to have a general form known as the Kramers-Moyall cumulant expansion in the theory of random walks, the coefficients of the expansion being directly related to nonperturbative cumulants of the shifted curvature tensor. In the limit of a gaussian-dominated QCD vacuum the obtained equation reduces to the well-known heat kernel equation on the group manifold.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0605207
dc.identifierhttp://arxiv.org/abs/hep-th/0605207
dc.identifierPhys.Rev. D73 (2006) 094015
dc.identifierdoi:10.1103/PhysRevD.73.094015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112527
dc.subjectHigh Energy Physics - Theory
dc.titleKramers-Moyall cumulant expansion for the probability distribution of parallel transporters in quantum gauge fields
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