Abstract
Renormalizability of a quantum gravity model with the local GL(4,R) symmetry is investigated. The renormalization conditions based on the action which consists of curvature-squared terms only do not exclude the appearance of fourth-derivative terms in the metric as counterterms. With the addition of all possible, fourth-derivative terms in the metric to the most general curvature-squared Lagrangian, the renormalization becomes complete. The proof is done using the Slavnov-Taylor identities and the power counting argument. Here, a higher-derivative gauge fixing for the general coordinate transformation group is used. Unitarity of the model is not shown.
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