Renormalizability of Topologically Massive Gravity

Abstract

We consider renormalizability of topologically massive gravity in three space-time dimensions. With a usual parametrization of the metric tensor, we establish the statement that topologically massive gravity is in fact renormalizable. In this proof, we make use of not only a recently found, new infrared regularization method of scalar mode but also a covariant ultraviolet regulator with a specific combination of higher derivative terms which is motivated by the new massive gravity in three dimensions.

17 pages, minor improvements

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Cited by in corpus (6)

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• No chiral truncation of quantum log gravity?
• Chiral Supergravity
• Beta Functions of Topologically Massive Supergravity
• Extending the Spin Projection Operators for Gravity Models with Parity-Breaking in 3-D
• A model of non-minimally coupled gravitation and electromagnetism in (1+2) dimensions