Gravity From Poincare Gauge Theory of the Fundamental Particles. 4. Mass and Energy of Particle Spectrum
Jul, 198033 pages
Published in:
- Prog.Theor.Phys. 64 (1980) 2222
DOI:
Report number:
- Print-80-0512 (SAITAMA)
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Abstract: (Oxford Journals)
Particle spectrum of Poincaré gauge theory is investigated in detail, in particular paticle'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 conjugate, 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^- cannot coexist. Conditions of nine parameters, α, β, γ, a_1, a_2, …, a_6, for these normal particles to exist are also obtained.- GRAVITATION
- GROUP THEORY: LORENTZ
- GAUGE FIELD THEORY
- general relativity
- POSTULATED PARTICLE: GRAVITON
- TRANSFORMATION: GAUGE
- Klein-Gordon equation
- APPROXIMATION: WEAK FIELD
- TENSOR: ENERGY-MOMENTUM
- FIELD THEORY: MASS SPECTRUM
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