Smeared and unsmeared chiral vertex operators

Details Smeared and unsmeared chiral vertex operators Smeared and unsmeared chiral vertex operators

1997-12-17

arxiv.org/abs/hep-th/9712174v1

Commun.Math.Phys. 200 (1999) 275-296

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, latex, no figures

Scientific paper

10.1007/s002200050530

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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