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Titolo:
MATRIX-ELEMENTS OF THIEMANN HAMILTONIAN CONSTRAINT IN LOOP QUANTUM-GRAVITY
Autore:
BORISSOV R; DEPIETRI R; ROVELLI C;
Indirizzi:
PENN STATE UNIV,CTR GRAVITAT PHYS & GEOMETRY UNIVERSITY PK PA 16802 UNIV PARMA,DIPARTIMENTO FIS I-43100 PARMA ITALY IST NAZL FIS NUCL,GRP COLL PARMA I-43100 PARMA ITALY UNIV PITTSBURGH,DEPT PHYS & ASTRON PITTSBURGH PA 15260 ERWIN SCHRODINGER INST A-1090 VIENNA AUSTRIA
Titolo Testata:
Classical and quantum gravity
fascicolo: 10, volume: 14, anno: 1997,
pagine: 2793 - 2823
SICI:
0264-9381(1997)14:10<2793:MOTHCI>2.0.ZU;2-5
Fonte:
ISI
Lingua:
ENG
Soggetto:
GENERAL-RELATIVITY; FIELD-THEORY; DIFFERENTIAL GEOMETRY; ASHTEKAR VARIABLES; REALITY CONDITIONS; VOLUME OPERATOR; PHYSICAL STATES; GAUGE-THEORIES; KNOT-THEORY; SPACE;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Science Citation Index Expanded
Citazioni:
89
Recensione:
Indirizzi per estratti:
Citazione:
R. Borissov et al., "MATRIX-ELEMENTS OF THIEMANN HAMILTONIAN CONSTRAINT IN LOOP QUANTUM-GRAVITY", Classical and quantum gravity, 14(10), 1997, pp. 2793-2823

Abstract

We present an explicit computation of matrix elements of the Hamiltonian constraint operator in non-perturbative quantum gravity. In particular, we consider the Euclidean term of Thiemann's version of the constraint and compute its action on trivalent states, for all its naturalorderings. The calculation is performed using graphical techniques from the recoupling theory of coloured knots and links. We exhibit the matrix elements of the Hamiltonian constraint operator in the spin-network basis in compact algebraic form.

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Documento generato il 06/04/20 alle ore 23:28:53