Conformal invariance of massless Duffin-Kemmer-Petiau theory in Riemannian spacetimes
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2005-07-21
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Iop Publishing Ltd
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We 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 I 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 I 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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Classical and Quantum Gravity. Bristol: Iop Publishing Ltd, v. 22, n. 14, p. 3083-3092, 2005.
