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On minimal coupling of classical spinning matter fields in space-times with torsion
Institution:1. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv 61103, Ukraine;2. Institute of Low Temperature and Structure Research Polish Academy of Sciences, Wroclaw 50-422, Poland;3. Instituto Universitario de Ciencia de Materiales “Nicolas Cabrera” & Universidad Autonoma de Madrid, Madrid 28049, Spain
Abstract:Some considerations about propagation equations for classical massive test particles with spins 1/2, 1 and 3/2 in a space-time with torsion suggest that massive fields with spin are tensor (spinor) valued 0-forms, whereas massless fields with spin ⩾ 1 are tensor (spinor) valued 1-forms.
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