C, P and T Transformations in Higher Dimensions

Abstract

The C, P and T transformations in higher dimensions are studied for the massive spin-1/2 field. It is shown that two different fileds with the sign of their masses opposite to each other are necessary in order to have a C- or P- (P- or T-) invariant Lagrangian for 4n+1 (4n+3) dimensions. It is also pointed out that Weyl spinors in even dimensions can be dealt with in the same way.