Prog. Theor. Phys. Vol. 43 No. 1 (1970) pp. 214-232

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Chiral Symmetry in the Unified Fermion Theory. I

— SU(2) ×SU(2) —

Kichiro Hiida

Institute for Nuclear Study, Tokyo University, Tanashi, Tokyo

(Received July 21, 1969)

Abstract:

A chiral SU(2) ×SU(2) transformation is introduced in a unified fermion theory in which fundamental particles have spin ½ and all other particles are composed of them. The properties of transformation and of an invariant Lagrangian density under transformation are investigated in detail.

URL : http://ptp.ipap.jp/link?PTP/43/214/
DOI : 10.1143/PTP.43.214

References:

For the references see S. Weinberg, Phys. Rev. 166 (1968), 1568[APS].
W. Heisenberg, Introduction to the Unified Field Theory of Elementary Particles (Interscience Pub., New York, 1966). See Eq. 3(22) in this book.
Equations (4·9) and (4·21) in reference 1).
These relations are also obtained by Dr. T. Ohta independently (private communication).

Citing Article(s) :

Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 830-841 :
Curved Isospin Space with Torsion and Pion-Nucleon Interactions

Minoru Hamada and Toshiei Kimura
Progress of Theoretical Physics Vol. 43 No. 5 (1970) pp. 1334-1342 :
Nonlinear Realizations of Groups and Chiral Transformations in the Quark Model

Chuichiro Hattori, Makoto Kobayashi, Hiroki Kondo and Toshihide Maskawa
Progress of Theoretical Physics Vol. 44 No. 2 (1970) pp. 512-532 :
Chiral Symmetry in the Unified Fermion Theory. II

Jiro Arafune, Kichiro Hiida and Tadayuki Ohta
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