Title: On generating functionals for antisymmetric functions and their application in quantum field theory
Abstract: An isomorphism between certain subspaces of the Hilbert spaces of symmetric and antisymmetric n-point functions (or, more generally, symmetric and antisymmetric tensor products of a Hilbert space) is described. It permits a construction of generating functionals for sets of antisymmetric functions. In this way the theory of Hilbert spaces of functional power series as described in [7] and [8] can be extended to the case of antisymmetric coefficients. As an application, the functional representation for the anticommuntation relations is derived. It enables to obtain a functional formulation of quantum field theory also in the antisymmetric case without the use of Grassman algebras.
Publication Year: 1974
Publication Date: 1974-12-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 16
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