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Ghost Condensate




We have a real Scalar Field φ with the following action

:S=\int d^4x \left[aX^2-bX ight]

where a and b are positive Constant s and

:X\equiv rac{1}{2}\eta^{\mu
u}\partial_\mu \phi \partial_
u \phi

in the +--- Sign Convention .

The theories of ghost condensate predict specific Non-gaussianities of the Cosmic Microwave Background . These theories have been proposed by Nima Arkani-Hamed , Markus Luty , and others.

Unfortunately, this theory allows for Superluminal propagation of information in some cases and has no Lower Bound on its energy. This model doesn't admit a Hamiltonian formulation (the Legendre Transform is Multivalued because the momentum function isn't convex) because it is Acausal . Quantizing this theory leads to problems.