Path integral for minisuperspaces and its relation with non equivalent canonical quantizations

TL;DR

This paper explores the connection between a new path integral approach for minisuperspaces and various canonical quantizations, identifying key steps where theory choices are made and proposing coordinate systems that bypass these choices for certain cosmologies.

Contribution

It establishes the relation between a recent path integral formulation and canonical quantizations, and finds coordinate systems that avoid non-equivalent theory choices in homogeneous cosmologies.

Findings

Identifies the step in the path integral procedure where theory choices are made.

Establishes the relation between the path integral and canonical quantizations.

Finds coordinate systems that avoid non-equivalent theories in certain cosmologies.

Abstract

The relation between a recently proposed path integral for minisuperspaces and different canonical quantizations is established. The step of the procedure where a choice between non equivalent theories is made is identified. Coordinates avoiding such a choice are found for a class of homogeneous cosmologies.