Chiral Charged Fermions, One Dimensional Quantum Field Theory and Vertex Algebra

Florin Constantinescu; Guenter Scharf

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arXiv · hep-th/0006042

Chiral Charged Fermions, One Dimensional Quantum Field Theory and Vertex Algebra

Florin Constantinescu·Guenter Scharf

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Abstract

We give an explicit $L^2$-representation of chiral charged fermions using the Hardy-Lebesgue octant decomposition. In the " pure" case such a representation was already used by M. Sato in holonomic field theory. We study both "pure" and " mixed" cases. In the compact case we rigorously define unsmeared chiral charged fermion operators inside the unit circle. Using chiral fermions we orient our findings towards a functional analytic study of vertex algebras as one dimensional quantum field theory.

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Florin Constantinescu, Guenter Scharf. 2000-06-06. Chiral Charged Fermions, One Dimensional Quantum Field Theory and Vertex Algebra. https://arxiv.org/abs/hep-th/0006042

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