On the Velo-Zwanziger phenomenon
arXiv:math-ph/0207033 · doi:10.1088/0305-4470/36/31/306
Abstract
The Rarita-Schwinger equation in a curved background and an external electromagnetic field is discussed. We analyse the equation in the 2-component spinor formalism and derive Buchdahl conditions for them. The result is that the equation can consistently be imposed only on Einstein manifolds with vanishing electromagnetic field.