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

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

2003-11-13

arxiv.org/abs/gr-qc/0311042v2

Class.Quant.Grav.22:3083-3092,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures. Major changes in contend and results. To appear in Class.Quant.Grav

Scientific paper

10.1088/0264-9381/22/14/017

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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