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Smeared and Unsmeared Chiral Vertex Operators

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Abstract:

We prove unboundedness and boundedness of the unsmeared and smeared chiral vertex operators, respectively. We use elementary methods in bosonic Fock space, only. Possible applications to conformal two-dimensional quantum field theory, perturbation thereof, and to the perturbative construction of the sine-Gordon model by the Epstein-Glaser method are discussed. From another point of view the results of this paper can be looked at as a first step towards a Hilbert space interpretation of vertex operator algebras.

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Authors and Affiliations

  1. Fachbereich Mathematik, Johann Wolfgang Goethe Universität Frankfurt, Robert-Mayer-Str. 10,¶D-60054 Frankfurt am Main, Germany, , , , , , DE

    Florin Constantinescu

  2. Institut für Theoretische Physik, Universität Zürich, Winterthurerstr. 190, CH-8057 Zürich, Switzerland, , , , , , CH

    Günter Scharf

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  1. Florin Constantinescu
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  2. Günter Scharf
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Received: 16 October 1997 / Accepted: 7 July 1998

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Constantinescu, F., Scharf, G. Smeared and Unsmeared Chiral Vertex Operators. Comm Math Phys 200, 275–296 (1999). https://doi.org/10.1007/s002200050530

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  • DOI: https://doi.org/10.1007/s002200050530

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