Renormalizability of Topologically Massive Gravity

Understand

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.