ON EUCLIDEAN SPINORS AND WICK ROTATIONS

We propose a continuous Wick rotation for Dirac, Majorana and Weyl spi nors from Minkowski spacetime to Euclidean space which treats fermions on the same footing as bosons, The result is a recipe to construct a supersymmetric Euclidean theory from any supersymmetric Minkowski theo ry. This Wick rotation is identified as a complex Lorentz boost in a f ive-dimensional space and acts uniformly on bosons and fermions. For M ajorana and Weyl spinors our approach is reminiscent of the traditiona l Osterwalder-Schrader approach in which spinors are ''doubled'' but t he action is not hermitian. However, for Dirac spinors our work provid es a link to the work of Schwinger and Zumino in which hermiticity is maintained but spinors are not doubled, Our work differs from recent w ork by Mehta since we introduce no external metric and transform only the basic fields.