Gravity from Poincare Gauge Theory of the Fundamental Particles. IV : Mass and Energy of Particle Spectrum

概要

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Particle spectrum of Poincare gauge theory is investigated in detail, in particular particle's mass and energy. Besides usual graviton, the torsion field gives rise to massive 2^+,2^-,1^+,1^-,0^+ and 0^- particles, each of which obeys the Klein-Gordon equation. We find that there are at most three normal particles, defined by having positive mass and positive energy;namely, only nine possible triplets, (2^+,1^+.0^-), (2^+,1^-,0^-), (2^+,0^+,0^-) and their parity coujugate, and (1^+,0^+,0^-) and its parity conjugate and finally (1^+,1^-,0^-). Further reduction to two and one particles is also possible provided 2^+ and 2^- connot coexist. Conditions of nine parameters, α,β,γ,a_1,a_2,…,a_6, for these normal particles to exist are also obtained.
理論物理学刊行会の論文
1980-12-25