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Prog. Theor. Phys. Vol. 73 No. 4 (1985) pp. 874-883

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Massless Lorentz Gauge Field Consistent with Einstein's Gravitation Theory

— The Case α+ 2a/ 3 =β- 2a/3 =γ+3a/2=0 —

Kazumi Fukuma, Shikao Miyamoto,* Tadao Nakano, Teruya Ohtani** and Yoshinobu Tamura

Department of Physics, Osaka City University, Osaka 558
*Nara Technical College, Yamato-Koriyama, Nara 639-11
**Kansai University of Foreign Studies, Hirakata, Osaka 573

(Received September 28, 1984)

Abstract:

We study the possible existence of the massless Lorentz gauge field in the linear approximation under the conditions α+ 2a/ 3 =β- 2a/3 =γ+3a/2=0. It is found that there are two massless modes of the Lorentz gauge field propagating with positive energy in vacuum. These two massless modes have helicity-parity 1+ and 1-, respectively, and cannot coexist. The massless mode with helicity-parity 1+ is the most interesting, because the axial-vector component of the Lorentz gauge field interacts with Dirac fields directly.


URL : http://ptp.ipap.jp/link?PTP/73/874/
DOI : 10.1143/PTP.73.874

[ Full Text PDF : FREE ACCESS (400K) ] Citation:


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Citing Article(s) :

  1. 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
  2. Progress of Theoretical Physics Vol. 81 No. 2 (1989) pp. 523-540 :
    A Spinor Approach to Poincaré Gauge Theory
    Shin-ichi Nakariki
  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
  4. Progress of Theoretical Physics Vol. 88 No. 2 (1992) pp. 291-305 :
    Asymptotic Anti-De Sitter Conditions for Poincaré Gauge Theory
    Roh-Suan Tung, Chun-Hsu Chang, De-Ching Chern and James M. Nester
  5. Progress of Theoretical Physics Vol. 107 No. 1 (2002) pp. 191-210 :
    Massless Modes of Lorentz Gauge Fields in Poincaré Gauge Theory of Gravity
    Kazumi Fukuma
  6. Progress of Theoretical Physics Supplement No.86 (1986) pp. 297-303 :
    Lorentz Gauge Field and Spin Angular-Momentum
    Tadao Nakano and Teruya Ohtani