Vertex operators in Hilbert space

Journal Article · Sun Aug 01 00:00:00 EDT 1993 · Journal of Mathematical Physics (New York); (United States)

DOI:https://doi.org/10.1063/1.530048· OSTI ID:5644262

Boenkost, W; Constantinescu, F ^[1]

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1. Fachbereich Mathematik, J. W. Goethe-Universitaet Frankfurt, Robert-Mayer-Strasse 10, D-6000 Frankfurt a. M. 1 (Germany)

Free vertex operators [ital V]([gamma],[ital z]) are introduced as operators in Hilbert space. They are densely defined for [vert bar][ital z][vert bar][lt]1. Any radially ordered product of vertex operators is defined on a dense subset as an operator product. [parallel][ital V]([gamma],[ital z])[Psi][parallel] is bound by [parallel]exp([ital cN])[Psi][parallel] for appropriate [Psi], where [ital N] is the number operator and [ital c] is a positive constant. These results are applied to screened vertex operators.

• OSTI ID: 5644262
• Journal Information: Journal of Mathematical Physics (New York); (United States), Vol. 34:8; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM OPERATORS
HILBERT SPACE
VERTEX FUNCTIONS
CONFORMAL INVARIANCE
CONVERGENCE
GELL-MANN THEORY
ISING MODEL
PERTURBATION THEORY
QUANTUM FIELD THEORY
BANACH SPACE
CRYSTAL MODELS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
SPACE
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)