pith. sign in

arxiv: gr-qc/9705059 · v1 · submitted 1997-05-22 · 🌀 gr-qc

The Immirzi parameter in quantum general relativity

Carlo Rovelli , Thomas Thiemann This is my paper
classification 🌀 gr-qc
keywords quantumtransformationparametercanonicalfreegeneralgravityimmirzi
0
0 comments X
read the original abstract

Barbero has generalized the Ashtekar canonical transformation to a one-parameter scale transformation $U(\iota)$ on the phase space of general relativity. Immirzi has noticed that in loop quantum gravity this transformation alters the spectra of geometrical quantities. We show that $U(\iota)$ is a canonical transformation that cannot be implement unitarily in the quantum theory. This implies that there exists a one-parameter quantization ambiguity in quantum gravity, namely a free parameter that enters the construction of the quantum theory. The purpose of this letter is to elucidate the origin and the role of this free parameter.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Holographic entanglement entropy and complexity for the cosmological braneworld model

    hep-th 2025-05 unverdicted novelty 3.0

    Time-dependent holographic entanglement entropy and complexity are computed perturbatively for braneworld FLRW universes with radiation, matter, and exotic matter by using time-dependent brane positions in black brane...