Existence of positive representations for complex weights

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dc.creatorSalcedo, L. L.
dc.date2007-06-29
dc.date.accessioned2026-07-07T11:17:20Z
dc.date.available2026-07-07T11:17:20Z
dc.descriptionThe necessity of computing integrals with complex weights over manifolds with a large number of dimensions, e.g., in some field theoretical settings, poses a problem for the use of Monte Carlo techniques. Here it is shown that very general complex weight functions P(x) on R^d can be represented by real and positive weights p(z) on C^d, in the sense that for any observable f, <f(x)>_P = <f(z)>_p, f(z) being the analytical extension of f(x). The construction is extended to arbitrary compact Lie groups.
dc.description9 pages, no figures. To appear in J.Phys.A
dc.identifierhttps://arxiv.org/abs/0706.4359
dc.identifierhttp://arxiv.org/abs/0706.4359
dc.identifierJ.Phys.A40:9399,2007
dc.identifierdoi:10.1088/1751-8113/40/31/016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192973
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleExistence of positive representations for complex weights
dc.typetext

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