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Conformal invariance of massless Duffin-Kemmer-Petiau theory in Riemannian space-times

R. Casana·B. M. Pimentel·J. T. Lunardi·R. G. Teixeira
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Abstract

We investigate the conformal invariance of massless Duffin-Kemmer-Petiau theory coupled to riemannian space-times. We show that, as usual, in the minimal coupling procedure only the spin 1 sector of the theory -which corresponds to the electromagnetic field- is conformally invariant. We show also that the conformal invariance of the spin 0 sector can be naturally achieved by introducing a compensating term in the lagrangian. Such a procedure -besides not modifying the spin 1 sector- leads to the well-known conformal coupling between the scalar curvature and the massless Klein-Gordon-Fock field. Going beyond the riemannian spacetimes, we briefly discuss the effects of a nonvanishing torsion in the scalar case.

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R. Casana, B. M. Pimentel, J. T. Lunardi, R. G. Teixeira. 2005-06-21. Conformal invariance of massless Duffin-Kemmer-Petiau theory in Riemannian space-times. https://doi.org/10.1088/0264-9381%2F22%2F14%2F017

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