Renormalization of Higher Derivative Quantum Gravity Coupled to a Scalar with Shift Symmetry

Kenji Muneyuki; Nobuyoshi Ohta

Renormalization of Higher Derivative Quantum Gravity Coupled to a Scalar with Shift Symmetry

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arxiv 1306.6701 v3 pith:QRKRE7ST submitted 2013-06-28 hep-th gr-qc

Kenji Muneyuki , Nobuyoshi Ohta This is my paper · ORCID

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keywords gravitycoupledquantumscalarshiftsymmetrytheoriesbeen

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It has been suggested that higher-derivative gravity theories coupled to a scalar field with shift symmetry may be an important candidate for a quantum gravity. We show that this class of gravity theories are renormalizable in D = 3 and 4 dimensions.

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For a chosen parameter range, a massless tensor perturbation of a Euclidean scalar-tensor theory obeys a Lorentzian dispersion relation, while extra scalar/vector modes remain Euclidean or ghost-like and require bound...

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