Canonical Quantum Theory of Gravitational Field with Higher Derivatives. III: A Formulation with an Additional BRS Invariance

Key Points

• This work aims to develop a canonical formulation of quantum gravity that maintains an additional BRS invariance with specific mathematical properties.
• Presented a theoretical framework for canonical quantum gravity with higher derivatives.
• Incorporated an additional BRS transformation with nilpotency of order two in the formulation.
• The new formulation successfully addresses the renormalizability of quantum gravity.
• The addition of BRS invariance enhances the consistency of the theoretical framework.