Functional Integrals in Affine Quantum Gravity

TL;DR

This paper presents a novel approach to quantum gravity using affine variables, coherent states, and a functional integral framework, addressing nonrenormalizability issues with a hard core perspective.

Contribution

It introduces an unconventional affine-based quantization method and a projection operator approach for constraints in quantum gravity.

Findings

Functional integral representations developed for affine quantum gravity

Addresses nonrenormalizability via a hard core picture

Proposes a continuous-time regularized functional integral approach

Abstract

A sketch of a recent approach to quantum gravity is presented which involves several unconventional aspects. The basic ingredients include: (1) Affine kinematical variables; (2) Affine coherent states; (3) Projection operator approach for quantum constraints; (4) Continuous-time regularized functional integral representation without/with constraints; and (5) Hard core picture of nonrenormalizability. Emphasis is given to the functional integral expressions.