The Real Wick Rotations in Quantum Gravity

TL;DR

This paper explores a non-perturbative Wick rotation in quantum gravity, demonstrating its effectiveness in correctly evaluating a two-dimensional path integral by mapping real Lorentzian metrics to Euclidean metrics.

Contribution

It introduces a non-perturbative Wick rotation method in quantum gravity that accurately connects Lorentzian and Euclidean metrics in proper-time coordinates.

Findings

Successfully applies the Wick rotation to a 2D non-perturbative path integral

Provides a consistent framework for Wick rotations in quantum gravity

Demonstrates the correctness of the approach in a specific model

Abstract

We discuss Wick rotations in the context of gravity, with emphasis on a non-perturbative Wick rotation proposed in hep-th/0103186 mapping real Lorentzian metrics to real Euclidean metrics in proper-time coordinates. As an application, we demonstrate how this Wick rotation leads to a correct answer for a two dimensional non-perturbative path-integral.