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

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

2000-06-06

arxiv.org/abs/hep-th/0006042v1

Lett.Math.Phys. 52 (2000) 113-125

Physics

High Energy Physics

High Energy Physics - Theory

to appear Lett.Math.Phys

Scientific paper

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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