Prog. Theor. Phys. Vol. 66 No. 1 (1981) pp. 318-336

[ Full Text PDF : FREE ACCESS (636K) ]

Gravity from Poincaré Gauge Theory of the Fundamental Particles. VI

— Scattering Amplitudes —

Kenji Hayashi and Takeshi Shirafuji^*

Institute of Physics, University of Tokyo, Komaba, Tokyo 153
^*Physics Department, Saitama University, Urawa 338

(Received March 3, 1981)

Abstract:

Poincaré gauge theory has, besides graviton, the particle spectrum of six massive particles with spin^parity =2^±, 1^± and 0^±, obtained from the linear field approximation of the torsion field. In addition to the normality condition that any of these particles should have positive mass and positive energy, we now require the asymptotic condition that Born amplitudes in scattering problems should be of the same order of magnitude, i.e., 1/k², as in General Relativity when virtual momentum k of annihilation processes tends to infinity. The result is as follows: The above six massive particles are then reduced to the four classes, (1⁺, 1^-), (1^-,0^-), (2^-,0^-) and (0^-).

URL : http://ptp.ipap.jp/link?PTP/66/318/
DOI : 10.1143/PTP.66.318

References:

K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 64 (1980), 866, [PTP]referred to as I.
K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 64 (1980), 883, [PTP]referred to as II.
K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 64 (1980), 1435, [PTP]referred to as III.
K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 64 (1980), 2222, [PTP]referred to as IV.
K. Hayashi and T. Shirafuji, Prog. Theor. Phys. 65 (1981), 525, [PTP]referred to as V.
See, for example, S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), Eq. (10·3·5).
E. Sezgin and P. van Nieuwenhuizen, Phys. Rev. D 21 (1980), 3269[APS].

Citing Article(s) :

Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 2258-2273 :
Gravity from Poincaré Gauge Theory of the Fundamental Particles. VII

Kenji Hayashi and Takeshi Shirafuji
Progress of Theoretical Physics Vol. 67 No. 3 (1982) pp. 990-992 :
Constraints to Freeze Non-Propagating Modes of Lorentz Connexion

Hitoshi Nishino
Progress of Theoretical Physics Vol. 68 No. 3 (1982) pp. 975-988 :
Local Tensor Calculus in Supergravity with Propagating Lorentz Connexion

Hitoshi Nishino
Progress of Theoretical Physics Vol. 68 No. 5 (1982) pp. 1765-1775 :
Consistency of Couplings in Supergravity Theory with Propagating Lorentz Connexion

Hitoshi Nishino
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
Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1272-1290 :
A Five Dimensional Unification of the Poincaré Gauge and Electromagnetic Fields

Toshiharu Kawai
Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 83-97 :
New Equation and Energy-Tensor of a Gravitational Field

Ryoyu Utiyama
Progress of Theoretical Physics Vol. 73 No. 1 (1985) pp. 54-74 :
Energy, Momentum and Angular Momentum in Poincaré Gauge Theory

Kenji Hayashi and Takeshi Shirafuji
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
Progress of Theoretical Physics Vol. 74 No. 4 (1985) pp. 852-865 :
Conformal Rescalings Applied to Poincaré Gauge Theory

Masayasu Fukui, Kenji Hayashi and Takeshi Shirafuji
Progress of Theoretical Physics Vol. 82 No. 4 (1989) pp. 723-736 :
Stability of the Friedmann Universe in the Poincaré Gauge Theory

Shinsuke Ogino