A singularity problem for interacting massive vectors
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Interacting massive spin-1 fields have been widely used in cosmology and particle physics. We obtain a new condition on the validity of the classical limit of these theories related to the non-trivial constraints that exist for vector field components. A violation of this consistency condition causes a singularity in the time derivative of the auxiliary component and could impact, for example, the field's cosmic history and superradiance around black holes. Such a condition is expected to exist generically in many other non-trivially constrained systems.
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Cited by 1 Pith paper
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Potentially healthy time evolution in interacting $p$-form fields
In 4D spacetime, 3-form fields admit healthy time evolution under specific self-interactions while 2-form fields lose hyperbolicity with analogous terms.
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