A two-field mimetic gravity model has two scalar degrees of freedom, not one, and the extra entropy mode is a ghost when the fields have opposite-sign kinetic terms.
Direct couplings of mimetic dark matter and their cosmological effects
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abstract
The original mimetic model was proposed to take the role of dark matter. In this paper we consider possible direct interactions of the mimetic dark matter with other matter in the universe, especially the standard model particles such as baryons and photons. By imposing shift symmetry, the mimetic dark matter field can only have derivative couplings. We discuss the possibilities of generating baryon number asymmetry and cosmic birefringence in the universe based on the derivative couplings of the mimetic dark matter to baryons and photons.
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Two-field mimetic gravity revisited and Hamiltonian analysis
A two-field mimetic gravity model has two scalar degrees of freedom, not one, and the extra entropy mode is a ghost when the fields have opposite-sign kinetic terms.