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Titolo:
Diffeomorphism-invariant quantum field theories of connections in terms ofwebs
Autore:
Lewandowski, J; Thiemann, T;
Indirizzi:
Univ Warsaw, Inst Theoret Phys, PL-00681 Warsaw, Poland Univ Warsaw Warsaw Poland PL-00681 Theoret Phys, PL-00681 Warsaw, Poland Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14473 Potsdam, Germany Max Planck Inst Gravitat Phys Potsdam Germany D-14473 3 Potsdam, Germany
Titolo Testata:
CLASSICAL AND QUANTUM GRAVITY
fascicolo: 7, volume: 16, anno: 1999,
pagine: 2299 - 2322
SICI:
0264-9381(199907)16:7<2299:DQFTOC>2.0.ZU;2-P
Fonte:
ISI
Lingua:
ENG
Soggetto:
GENERAL-RELATIVITY; FUNCTIONAL-INTEGRATION; VOLUME OPERATOR; SCALAR PRODUCT; GAUGE-THEORIES; GRAVITY; GEOMETRY; DYNAMICS; ALGEBRA; SPACE;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
38
Recensione:
Indirizzi per estratti:
Indirizzo: Lewandowski, J Univ Warsaw, Inst Theoret Phys, Hoza 69, PL-00681 Warsaw, Poland Univ Warsaw Hoza 69 Warsaw Poland PL-00681 Warsaw, Poland
Citazione:
J. Lewandowski e T. Thiemann, "Diffeomorphism-invariant quantum field theories of connections in terms ofwebs", CLASS QUANT, 16(7), 1999, pp. 2299-2322

Abstract

In the canonical quantization of gravity in terms of the Ashtekar variables one uses paths in the 3-space to construct the quantum states. Usually, one restricts oneself to families of paths admitting only a finite number ofisolated intersections. This assumption implies a limitation on the diffeomorphisms invariance of the introduced structures. In this work, using the previous results of Baez and Sawin, we extend the existing results to a theory admitting all the possible piecewise-smooth finite paths and loops. In particular, we (a) characterize the spectrum of the Ashtekar-Isham configuration space, (b) introduce spin-web states, a generalization of the spin network states, (c) extend the diffeomorphism averaging to the spin-web states and derive a large class of diffeomorphism-invariant states and finally (d) extend the 3-geometry operators and the Hamiltonian operator.

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Documento generato il 09/04/20 alle ore 07:45:59