Note on Dirac--Kähler massless fields

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, minor corrections in the text, published version

Scientific paper

10.1140/epjc/s10052-010-1347-x

We obtain the canonical and symmetrical Belinfante energy-momentum tensors of Dirac--K\"{a}hler's fields. It is shown that the traces of the energy-momentum tensors are not equal to zero. We find the canonical and Belinfante dilatation currents which are not conserved, but a new conserved dilatation current is obtained. It is pointed out that the conformal symmetry is broken. The canonical quantization is performed and the propagator of the massless fields in the first-order formalism is found.

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