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Prog. Theor. Phys. Vol. 60 No. 6 (1978) pp. 1910-1921

Invariant Theoretical Consideration on the Nonlinear Realization of General Covariance Group

Shinji Hamamoto

Department of Physics, Toyama University, Toyama 930

(Received July 3, 1978)

Abstract:

Nonlinear realization of general covariance group is considered on the basis of the invariant variation theory. A second-rank symmetric traceless tensor, a vector and a scalar field are introduced as Goldstone fields, and their couplings with matter are uniquely determined through “minimal” covariant derivative. The general form of the free Lagrangian for the Goldstone fields can also be fixed up to three parameters, two of which correspond to the gravitational coupling constant and the cosmological constant. The resulting theory is the gravitational theory with symmetric tetrad and torsion.

URL : http://ptp.ipap.jp/link?PTP/60/1910/
DOI : 10.1143/PTP.60.1910

[ Full Text PDF : FREE ACCESS (793K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. For example, see the following review articles:
   F. W. Hehl, P. von der Heyde, G. D. Kerlick and J. M. Nester, Rev. Mod. Phys. 48 (1976), 393[APS].
   J. P. Harnad and R. B. Pettitt, J. Math. Phys. 17 (1976), 1827[CrossRef].
2. A. Salam and J. Strathdee, Phys. Rev. 184 (1969), 1760[APS].
3. C. J. Isham, A. Salam and J. Strathdee, Ann. of Phys. 62 (1971), 98[CrossRef].
4. A. B. Borisov and V. I. Ogievetskii, Theor. Math. Phys. 21 (1974), 1179.
5. V. I. Ogievetskii, Lett. Nuovo Cim. 8 (1973), 988.
6. R. Utiyama, Phys. Rev. 101 (1956), 1597[APS].
7. S. Hamamoto, Prog. Theor. Phys. 60 (1978), 315[PTP].
8. K. Hayashi, Nuovo Cim. A 16 (1973), 639.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 326-333 :

   Nonlinear Realization of General Covariance Group

   Shinji Hamamoto

2. Progress of Theoretical Physics Vol. 62 No. 3 (1979) pp. 823-831 :

   The Structure of General Covariance Group on Superspace

   Shinji Hamamoto

3. Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1453-1465 :

   Nonlinear Realization of Affine Group on Superspace

   Shinji Hamamoto

4. Progress of Theoretical Physics Vol. 82 No. 4 (1989) pp. 633-637 :

   Spontaneous Breakdown of N=1 Superconformal Symmetry into Conformal Symmetry

   Kazuo Hamada, and Tadahiko Kimura

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