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Titolo:
IMMIRZI PARAMETER IN QUANTUM GENERAL-RELATIVITY
Autore:
ROVELLI C; THIEMANN T;
Indirizzi:
UNIV PITTSBURGH,DEPT PHYS PITTSBURGH PA 15260 PENN STATE UNIV,CTR GRAV & GEOMETRY UNIVERSITY PK PA 16802 HARVARD UNIV,DEPT PHYS CAMBRIDGE MA 02118
Titolo Testata:
Physical review. D. Particles and fields
fascicolo: 2, volume: 57, anno: 1998,
pagine: 1009 - 1014
SICI:
0556-2821(1998)57:2<1009:IPIQG>2.0.ZU;2-H
Fonte:
ISI
Lingua:
ENG
Soggetto:
RECOUPLING THEORY; VOLUME OPERATOR; GAUGE-THEORIES; LOOP SPACE; GRAVITY; GEOMETRY; VARIABLES; SPECTRUM; AREA;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Citazioni:
34
Recensione:
Indirizzi per estratti:
Citazione:
C. Rovelli e T. Thiemann, "IMMIRZI PARAMETER IN QUANTUM GENERAL-RELATIVITY", Physical review. D. Particles and fields, 57(2), 1998, pp. 1009-1014

Abstract

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.

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Documento generato il 06/04/20 alle ore 22:21:36