1997/12/17 by Florin Constantinescu, G"unter Scharf, G�nter Scharf · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1007/s002200050530
published as Commun.Math.Phys. 200 (1999) 275-296 · 18 pages, latex, no figures
arxiv created 1997/12/17 · openalex publication_date 1999/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.