Deformed covariance in spherically symmetric vacuum models of loop quantum gravity: Consistency in Euclidean and self-dual gravity

TL;DR

This paper demonstrates that modified space-time structures are a common feature in various loop quantum gravity models, unifying different approaches through a canonical effective field theory framework, and confirms consistency with Euclidean gravity calculations.

Contribution

It provides a unified canonical effective field theory approach showing the genericity of modified space-time structures in spherically symmetric loop quantum gravity models.

Findings

Modified space-time structures are generic in these models.

Agreement with existing operator calculations in Euclidean gravity.

Unified treatment of different canonical realizations.

Abstract

Different versions of consistent canonical realizations of hypersurface deformations of spherically symmetric space-times have been derived in models of loop quantum gravity, modifying the classical dynamics and sometimes also the structure of space-time. Based on a canonical version of effective field theory, this paper provides a unified treatment, showing that modified space-time structures are generic in this setting. The special case of Euclidean gravity demonstrates agreement also with existing operator calculations.