Functional Representations for Fock Superalgebras

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dc.creatorKupsch, Joachim
dc.creatorSmolyanov, Oleg G.
dc.date1997-08-12
dc.date.accessioned2026-07-07T04:23:32Z
dc.date.available2026-07-07T04:23:32Z
dc.descriptionThe Fock space of bosons and fermions and its underlying superalgebra are represented by algebras of functions on a superspace. We define Gaussian integration on infinite dimensional superspaces, and construct superanalogs of the classical function spaces with a reproducing kernel -- including the Bargmann-Fock representation -- and of the Wiener-Segal representation. The latter representation requires the investigation of Wick ordering on Z2-graded algebras. As application we derive a Mehler formula for the Ornstein-Uhlenbeck semigroup on the Fock space.
dc.description33 pages, Latex
dc.identifierhttps://arxiv.org/abs/hep-th/9708069
dc.identifierhttp://arxiv.org/abs/hep-th/9708069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55065
dc.subjectHigh Energy Physics - Theory
dc.titleFunctional Representations for Fock Superalgebras
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