(Received March 6, 1970)
Chiral U(n) ×U(n) transformations are investigated in the unified theory of the fundamental Dirac field q. The transformation laws are non-linear with respect to q. It is shown in the unquantized theory that the laws can be linearized by the redefinition of the field, Q = Uq, where U is a unitary matrix depending on q and q*. Discussions are given on the conditions that U is non-singular as a function of q and q* at the origin, q = q* = 0. It is shown that the transformation from q to Q is in general neither canonical in the unquantized theory nor unitary in the quantized theory.
URL : http://ptp.ipap.jp/link?PTP/44/512/
DOI : 10.1143/PTP.44.512