Non-Anticommutative Quantum Gravity

TL;DR

This paper investigates non-anticommutative quantum gravity, showing that graviton loops are damped and the theory remains finite without matter, indicating potential for a consistent quantum gravity model.

Contribution

It introduces a non-anticommutative framework for quantum gravity and demonstrates its finiteness at one-loop order for pure gravity and matter interactions.

Findings

Graviton loops are damped by internal momentum factors.

The theory is finite at one-loop order for matter-free gravity.

Matter interactions do not introduce divergences at this order.

Abstract

A calculation of the one loop gravitational self-energy graph in non-anticommutative quantum gravity reveals that graviton loops are damped by internal momentum dependent factors in the modified propagator and the vertex functions. The non-anticommutative quantum gravity perturbation theory is finite for matter-free gravity and for matter interactions.