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Prog. Theor. Phys. Supplement No.86 (1986) pp. 297-303

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Lorentz Gauge Field and Spin Angular-Momentum

Tadao Nakano and Teruya Ohtani*

Department of Physics, Osaka City University, Osaka 558
*Kansai University of Foreign Studies, Hirakata, Osaka 573

(Received October 26, 1985)

Abstract:

We study the gauge theory which is invariant under local (gauge) translation and local (gauge) intrinsic Lorentz transformation. We give the definitions of the conserved total energy-momentum and total spin angular-momentum which might converge when the system is isolated. Under the weak field approximation, we find the massive or massless Lorentz gauge field propagating with positive energy.


URL : http://ptp.ipap.jp/link?PTPS/86/297/
DOI : 10.1143/PTPS.86.297

[ Full Text PDF : FREE ACCESS (435K) ] Citation:


References:

  1. T. Nakano, Soryushi no honshitsu (Essentials of Elementary particles), ed. M. Taketani, S. Sakata and S. Nakamura (Iwanami Publishing Co., Tokyo, 1963, in Japanese), p. 161.
  2. K. Hayashi and T. Nakano, Prog. Theor. Phys. 38 (1967), 491[PTP].
  3. K. Hayashi, Prog. Theor. Phys. 39 (1968), 494[PTP].
  4. S. Miyamoto, T. Nakano, T. Ohtani and Y. Tamura, Prog. Theor. Phys. 66 (1981), 481[PTP].
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  7. T. Yamanouchi, R. Utiyama and T. Nakano, Theory of General Relativity and Gravitation (Shokabo, Tokyo, 1967) (in Japanese).
  8. K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 73 (1985), 54[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 78 No. 1 (1987) pp. 16-21 :
    Mass and Spin of Exact Solutions of the Poincaré Gauge Theory
    Peter Baeckler, Ralf Hecht, Friedrich W. Hehl and Takeshi Shirafuji
  2. Progress of Theoretical Physics Vol. 78 No. 6 (1987) pp. 1470-1486 :
    Level Shift of Hyperfine Structure Due to the Lorentz Gauge Field
    Tetsuo Fukui, Kazumi Fukuma, Shikao Miyamoto, Tadao Nakano, Teruya Ohtani and Yoshinobu Tamura
  3. Progress of Theoretical Physics Vol. 82 No. 1 (1989) pp. 183-206 :
    Energy-Momentum and Angular Momentum in \overlinePoincaré Gauge Theory of Gravity and Physical Multiplets of Torsion Fields
    Tetsuo Fukui