Poincare gauge invariance and the dynamical role of spin in gravitational theory
197339 pages
Published in:
- Annals Phys. 75 (1973) 562-600
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Abstract: (Elsevier)
We classify, according to the number of independent gauge fields, Poincaré gauge invariant theoretical frameworks of describing gravity into three categories. One of them may provide the dynamical definition of the spin tensor S and that of the energy-momentum tensor T , resulting in the response equation of matter to gravity with the gravitational field strengths, D ′ and F , coupled to the former tensors T ν μ ; μ =D′ μλν T μλ +F μλνρ S ρμλ , where the right-hand side represents spin force densities. In the absence of spin the response reduces to the conventional one of general relativity, i.e., without the spin forces. For the electromagnetic field the phase-gauge invariance requires the same conclusion as for a scalar field. For a spin 1 2 particle there is torsion, which deflects its trajectory from geodesic; an explicit expression for torsion takes a simple form of the axial vector current ψ γ 5 γ k ψ .- field theory
- invariance: lorentz
- invariance: gauge
- spin
- gravitation
- energy: momentum
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