Research in Engineering and Aviation

Euclidean Majorana and Weyl Spinors


Author(s): Kupsch, J., and Thacker, W.D.

Journal: Fortschritte der Physik, Vol. 38, pp. 35-62 (1990). DOI: 10.1002/prop.2190380103


The complex form algebra of Schwinger functions of a Dirac field on a Euclidean Rd with arbitrary dimension d is decomposed into the form algebras of Majorana spinors and of Weyl spinors. The existence of real form algebras is investigated. The reality condition leads to severe restrictions in the case of Majorana forms which do not agree with the results of classical field theory. For all real form algebras Euclidean spinors are constructed as elements of a measure space.