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Prog. Theor. Phys. Vol. 45 No. 1 (1971) pp. 243-250

On the Gauge Fields in the Non-Linear Realization of a Group on Its Sub-Group

Takao Okabayashi and Tadashi Watanabe

Department of Physics, University of Tokyo, Tokyo

(Received July 1, 1970)

Abstract:

The commutability of the boosting procedure with the process to localize the group parameters is discussed based on the formalism of the non-linear realization of a group on its sub-group developed in a previous article. It is concluded that any gauge fields cannot be introduced into the scheme consistently.

URL : http://ptp.ipap.jp/link?PTP/45/243/
DOI : 10.1143/PTP.45.243

[ Full Text PDF : FREE ACCESS (518K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. T. Okabayashi and T. Watanabe, Prog. Theor. Phys. 43 (1970), 1085[PTP]; ibid. 43 (1970), 1343[PTP].
   This article will be referred to as article I.
2. A. Salam and J. Strathdee, Phys. Rev. 184 (1969), 1750[APS].
   This article will be referred to as article S. Other references on the non-linear realization of the group on its sub-group will be found in articles S and I.
3. A model based on such a realization was proposed by one of the present authors. T. Okabayashi, UT-46 (May 1970).

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 251-262 :

   Currents in the Non-Linear Realization of a Group on Its Sub-Group

   Takao Okabayashi

2. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 293-303 :

   A Note on the Interaction Representation for the Non-Linear Field of the Chiral Dynamics Type

   Takao Okabayashi, Takashi Sasaki and Koji Yoshikawa

3. Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1343-1366 :

   A Model for the Broken SU(3) Symmetry Based on the Non-Linear Realization of the Group

   Takao Okabayashi

4. Progress of Theoretical Physics Vol. 48 No. 4 (1972) pp. 1375-1394 :

   An Ambiguity in Particle Interpretation of Gauge Field of the Yang-Mills Type

   Takao Okabayashi

5. Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 661-679 :

   A Quantum Theory of a Conjugate Pair of Preferred Fields Interacting with a Spinor Field. I

   Takao Okabayashi

6. Progress of Theoretical Physics Vol. 52 No. 5 (1974) pp. 1687-1701 :

   A Quantum-Theoretical Lagrangian Formalism for Quasi-Linear Field Theories. I

   Takao Okabayashi and Hiroyuki Kikugawa

7. Progress of Theoretical Physics Vol. 52 No. 6 (1974) pp. 1953-1970 :

   A Quantum-Theoretical Lagrangian Formalism for Quasi-Linear Field Theories. II

   Takao Okabayashi and Hiroyuki Kikugawa

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