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Note on Dirac–Kähler massless fields

  • Regular Article - Theoretical Physics
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Abstract

We obtain the canonical and symmetrical Belinfante energy-momentum tensors of Dirac–Kähler’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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Authors and Affiliations

  1. Physical and Environmental Sciences Department, University of Toronto at Scarborough, 1265 Military Trail, Toronto, Ontario, Canada, M1C 1A4

    S. I. Kruglov

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  1. S. I. Kruglov
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Correspondence to S. I. Kruglov.

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Kruglov, S.I. Note on Dirac–Kähler massless fields. Eur. Phys. J. C 68, 337–343 (2010). https://doi.org/10.1140/epjc/s10052-010-1347-x

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  • DOI: https://doi.org/10.1140/epjc/s10052-010-1347-x

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