Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-10-22
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
revtex, 7 pages, minor changes
Scientific paper
While it is generally accepted, in the framework of Poincare gauge theory, that the Lorentz connection couples minimally to spinor fields, there is no general agreement on the coupling of the translational gauge field to fermions. We will show that the assumption that spinors carry a full Poincare representation leads to inconsistencies, whose origins will be traced back by considering the Poincare group both as the contraction of the de Sitter group, and as a subgroup of the conformal group. As a result, the translational fields do not minimally couple to fermions, and consequently, fermions do not possess an intrinsic momentum.
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