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

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.

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

References in corpus (4)

• Physical Aspects of the Space-Time Torsion
• Interacting spin 0 fields with torsion via Duffin-Kemmer-Petiau theory
• Spin 1 fields in Riemann-Cartan space-times "via" Duffin-Kemmer-Petiau theory
• Massless DKP fields in Riemann-Cartan space-times

Cited by in corpus (3)

• On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential
• Field theory of massive and massless vector particles in the Duffin - Kemmer - Petiau formalism
• Scalar Quantum Electrodynamics via Duffin-Kemmer-Petiau Gauge Theory in the Heisenberg Picture:Vacuum Polarization