https://doi.org/10.1140/epjc/s10052-016-4037-5
Regular Article - Theoretical Physics
Quantum massive conformal gravity
Centro de Ciências da Natureza, Universidade Estadual do Piauí, Teresina, PI, 64002-150, Brazil
* e-mail: felfrafar@hotmail.com
** e-mail: fff@uespi.br
Received:
6
December
2015
Accepted:
29
March
2016
Published online:
7
April
2016
We first find the linear approximation of the second plus fourth order derivative massive conformal gravity action. Then we reduce the linearized action to separated second order derivative terms, which allows us to quantize the theory by using the standard first order canonical quantization method. It is shown that quantum massive conformal gravity is renormalizable but has ghost states. A possible decoupling of these ghost states at high energies is discussed.
© The Author(s), 2016