On the Algebra of Ghost Fields

Details On the Algebra of Ghost Fields On the Algebra of Ghost Fields

1995-02-15

arxiv.org/abs/hep-th/9502097v1

Physics

High Energy Physics

High Energy Physics - Theory

Plain TeX, 16 pages

Scientific paper

We study in detail the algebra of free ghost fields which we realize in a Hilbert-Fock space with positive metric. The investigation of causality clarifies the exact reason for the failure of the spin-statistics theorem and leads to the introduction of the Krein Operator. We study the charge algebra of the ghost fields which gives a representation of ${\rm gl}(2,{\cal C})$. The symmetries of the $S$-matrix in ghost space are pointed out.

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