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Einstein-Proca theory from the Einstein-Cartan formulation
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We construct a theory of gravity in which a propagating massive vector field arises from a quadratic curvature invariant. The Einstein-Cartan formulation and a partial suppression of torsion ensure the absence of ghost and strong-coupling problems, as we prove with nonlinear Lagrangian and Hamiltonian analysis. Augmenting General Relativity with a propagating torsion vector, our theory provides a purely gravitational origin of Einstein-Proca models and constrains their parameter space. As an outlook to phenomenology, we discuss the gravitational production of fermionic dark matter.
Forward citations
Cited by 2 Pith papers
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Infrared foundations for quantum geometry II: Catalogue of all torsion-like theories including new ghost-tachyon-free cases
A systematic catalogue of symmetric pair-antisymmetric rank-three field theories yields 22 ghost-tachyon-free models, all propagating vector torsion and none propagating scalar or pseudoscalar torsion.
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Progress in Einstein-Cartan gravity
A review of Weyl-invariant Einstein-Cartan gravity claiming that one extra axion-like scalar can unify the strong CP and hierarchy puzzles, with the hierarchy explained by tiny Lorentz gauge couplings.
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