Immirzi parameter in quantum general relativity

Journal article

Publication Details

Author(s): Thiemann T, Rovelli C
Journal: Physical Review D
Publication year: 1998
Volume: 57
Journal issue: 2
Pages range: 1009-1014
ISSN: 2470-0010


Barbero has generalized the Ashtekar canonical transformation to a one-parameter scale transformation U(gamma) 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(gamma) is a canonical transformation that cannot be implemented unitarily in 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 paper is to elucidate the origin and the role of this free parameter.

FAU Authors / FAU Editors

Thiemann, Thomas Prof. Dr.
Chair for Theoretical Physics III (Quantum Gravity)

How to cite

Thiemann, T., & Rovelli, C. (1998). Immirzi parameter in quantum general relativity. Physical Review D, 57(2), 1009-1014.

Thiemann, Thomas, and Carlo Rovelli. "Immirzi parameter in quantum general relativity." Physical Review D 57.2 (1998): 1009-1014.


Last updated on 2019-20-03 at 15:38