Generalized functions for quantum fields obeying quadratic exchange relations

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dc.creatorGrosse, H.
dc.creatorOberguggenberger, M.
dc.creatorTodorov, I. T.
dc.date1999-02-05
dc.date.accessioned2026-07-07T04:32:41Z
dc.date.available2026-07-07T04:32:41Z
dc.descriptionThe axiomatic formulation of quantum field theory (QFT) of the 1950's in terms of fields defined as operator valued Schwartz distributions is re-examined in the light of subsequent developments. These include, on the physical side, the construction of a wealth of (2-dimensional) soluble QFT models with quadratic exchange relations, and, on the mathematical side, the introduction of the Colombeau algebras of generalized functions. Exploiting the fact that energy positivity gives rise to a natural regularization of Wightman distributions as analytic functions in a tube domain, we argue that the flexible notions of Colombeau theory which can exploit particular regularizations is better suited (than Schwartz distributions) for a mathematical formulation of QFT.
dc.description15 pages, LATEX
dc.identifierhttps://arxiv.org/abs/math-ph/9902008
dc.identifierhttp://arxiv.org/abs/math-ph/9902008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58278
dc.subjectMathematical Physics
dc.subject46F10, 46F20, 81T10, 81T40
dc.titleGeneralized functions for quantum fields obeying quadratic exchange relations
dc.typetext

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