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Fermions without spinors

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>09/1983
<mark>Journal</mark>Communications in Mathematical Physics
Issue number3
Volume89
Number of pages22
Pages (from-to)341-362
Publication StatusPublished
<mark>Original language</mark>English

Abstract

The classical Kähler equation for an inhomogeneous differential form is analysed in some detail with respect to the physical properties of its Minkowski space solutions. Although the components of the field contain only integer representations of the Lorentz group for a physical interpretation of the quantum theory, we impose fermionic commutators. The electromagnetic interactions are identical to those of a Dirac spinor field with an extra fourfold degeneracy. Possibilities for the interpretation of the extra degrees of freedom are discussed.