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Prog. Theor. Phys. Vol. 66 No. 2 (1981) pp. 481-497

[ Full Text PDF : FREE ACCESS (513K) ]

Linear Approximation for the Lorentz Gauge Field

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

Nara Technical College, Yamato-Koriyama, Nara 639-11
*Department of Physics, Osaka City University, Osaka 558
**Kansai University of Foreign Studies, Hirakata, Osaka 573
***Taisho High School, Osaka 551

(Received August 8, 1980)

Abstract:

Properties of the Lorentz gauge field in vacuum are examined in the free field approximation. We show that the Lorentz gauge field can be decomposed into six diagonalized fields, each of which obeys the Klein-Gordon equation and the irreducibility condition. We find that these diagonalized gauge fields can be massive, and that their spin and parity are 0+, 0-, 1+, 1-, 2+ and 2-. From the conditions for the Hamiltonian to be positive and for masses to be real, we get some restrictions on parameters appearing in the Lagrangian.


URL : http://ptp.ipap.jp/link?PTP/66/481/
DOI : 10.1143/PTP.66.481

[ Full Text PDF : FREE ACCESS (513K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1236-1240 :
    Linear Approximation for the Massless Lorentz Gauge Field
    Shikao Miyamoto, Tadao Nakano, Teruya Ohtani and Yoshinobu Tamura
  2. Progress of Theoretical Physics Vol. 73 No. 4 (1985) pp. 874-883 :
    Massless Lorentz Gauge Field Consistent with Einstein's Gravitation Theory
    Kazumi Fukuma, Shikao Miyamoto, Tadao Nakano, Teruya Ohtani and Yoshinobu Tamura
  3. 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
  4. Progress of Theoretical Physics Vol. 81 No. 2 (1989) pp. 523-540 :
    A Spinor Approach to Poincaré Gauge Theory
    Shin-ichi Nakariki
  5. 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
  6. 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
  7. Progress of Theoretical Physics Supplement No.86 (1986) pp. 297-303 :
    Lorentz Gauge Field and Spin Angular-Momentum
    Tadao Nakano and Teruya Ohtani

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