A Finite Quantum Gravity Field Theory Model

TL;DR

This paper introduces a finite quantum gravity model based on Delta gravity, demonstrating its potential to explain accelerated cosmological expansion without a cosmological constant and analyzing its quantum properties and ghost issues.

Contribution

It presents a novel finite quantum gravity model using Delta gravity, including the $ ilde{ abla}$ transformation and one-loop divergence analysis, advancing quantum gravity research.

Findings

Delta gravity models are finite at one loop in vacuum.

The model exhibits accelerated expansion without a cosmological constant.

No ghosts are found in the quantum analysis.

Abstract

We discuss the quantization of Delta gravity, a two symmetric tensors model of gravity. This model, in Cosmology, shows accelerated expansion without a cosmological constant. We present the $\tilde{\delta}$ transformation which defines the geometry of the model. Then we show that all delta type models live at one loop only. We apply this to General Relativity and we calculate the one loop divergent part of the Effective Action showing its null contribution in vacuum, implying a finite model. Then we proceed to study the existence of ghosts in the model. Finally, we study the form of the finite quantum corrections to the classical action of the model.