Quantizable Ghost-ridden theories using Kinetic Positivity Constraints

Abstract

We present a novel way to constrain the ghost field with respect to other physical fields present in a given theory such that the theory becomes quantizable. This is achieved by imposing positivity of the total kinetic energy of the system and performing Lorentz transformations in the field space manifold to arrive at an effective Lagrangian containing only physical degrees of freedom. Since models containing ghost fields such as quintom models are relevant in the cosmological context, this method can help ensure that such theories don't violate unitarity and can be treated as realistic candidates without the need to completely eliminate ghost(s).