R Casana et al 2005 Class. Quantum Grav. 22 3083 doi:10.1088/0264-9381/22/14/017
R Casana1, J T Lunardi2, B M Pimentel1 and R G Teixeira3
Show affiliationsWe investigate the conformal invariance of massless Duffin–Kemmer–Petiau theory coupled to Riemannian spacetimes. 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 also show 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.
Issue 14 (21 July 2005)
Received 19 October 2004, in final form 1 June 2005
Published 6 July 2005
R Casana et al 2005 Class. Quantum Grav. 22 3083
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