SPDEs leading to local, relativistic quantum vector fields with indefinite metric and nontrivial S-matrix

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dc.creatorAlbeverio, S.
dc.creatorGottschalk, H.
dc.creatorWu, J. -L.
dc.date2004-09-14
dc.date.accessioned2026-07-07T04:31:27Z
dc.date.available2026-07-07T04:31:27Z
dc.descriptionIn this article we review the construction of local, relativistic quantum vector fields by analytic continuation of Euclidean vector fields obtained as solutions of covariant SPDEs. We revise the formulation of such SPDEs by introducing new Gaussian noise terms -- a procedure which avoids the re-definition of the two point functions needed in previous approaches in order to obtain relativistic fields with nontrivial scattering. We describe the construction of asymptotic states and the scattering of the analytically continued solutions of these new SPDEs and we give precise conditions for nontrivial and well-defined scattering.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0409028
dc.identifierhttp://arxiv.org/abs/math-ph/0409028
dc.identifierStochastic partial differential equations and applications, Proc. Trento Conference on Stochastic Analysis, Trento 2000, eds. G. Da Prato, L. Tubaro, M. Dekker 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57819
dc.subjectMathematical Physics
dc.subject81T10; 81T05
dc.titleSPDEs leading to local, relativistic quantum vector fields with indefinite metric and nontrivial S-matrix
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