Supersymmetric Canonical Commutation Relations

Abstract

We present unitarily represented supersymmetric canonical commutation relations which are subsequently used to canonically quantize massive and massless chiral,antichiral and vector fields. The massless fields, especially the vector one, show new facets which do not appear in the non superymmetric case. Our tool is the supersymmetric positivity induced by the Hilbert-Krein structure of the superspace.

14 pages

References in corpus (2)

• Definite and Indefinite Inner Product on Superspace (Hilbert-Krein Superspace)
• Van der Waerden calculus with commuting spinor variables and the Hilbert-Krein structure of the superspace

Cited by in corpus (2)

• Supersymmetric Distributions, Hilbert Spaces of Supersymmetric Functions and Quantum Fields
• Supersymmetric Quantum Field Theory: Indefinite Metric