Reply to "Comment on 'Quantum massive conformal gravity' by F. F. Faria"

TL;DR

This paper defends the renormalizability of massive conformal gravity despite the instability of ghost states, countering previous claims that stability is necessary for renormalizability.

Contribution

It demonstrates that massive conformal gravity remains renormalizable even with unstable ghost states, challenging prior assertions about the necessity of ghost stability.

Findings

Massive conformal gravity can be renormalizable with unstable ghost states.

The stability of ghost states is not essential for the theory's renormalizability.

The paper provides a counterargument to Myung's claim about ghost stability and renormalizability.

Abstract

Recently in (Eur. Phys. J. C 76:341, 2016) [arXiv:1604.08706], Myung has suggested that the renormalizability of massive conformal gravity is meaningless unless the massive ghost states of the theory are stable. Here we show that massive conformal gravity can be renormalizable having unstable ghost states.