Prog. Theor. Phys. Vol. 44 No. 2 (1970) pp. 512-532

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Chiral Symmetry in the Unified Fermion Theory. II

— Linearization —

Jiro Arafune, Kichiro Hiida and Tadayuki Ohta

Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo

(Received March 6, 1970)

Abstract:

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

References:

K. Hiida, Prog. Theor. Phys. 43 (1970), 214[PTP]. Hereafter, this paper will be cited as I.
C. Hattori, M. Kobayashi, H. Kondo and T. Maskawa, Prog. Theor. Phys. 43 (1970), 1334[PTP].

Citing Article(s) :

Progress of Theoretical Physics Vol. 45 No. 4 (1971) pp. 1281-1310 :
Chiral Symmetry in the Unified Fermion Theory. III

Kichiro Hiida, Toshiei Kimura, Tadayuki Ohta and Jiro Arafune