Published July 21, 2005 | Version v1
Journal article Metadata-only

Denseness of Ashtekar-Lewandowski states and a generalized cut-off in loop quantum gravity

Creators

  • 1. Departamento de Fisica, Universidade da Beira Interior, R. Marques D'Avila e Bolama, 6201-001 Covilha (Portugal)

Description

We show that the set of states of the Ashtekar-Isham-Lewandowski holonomy algebra defined by elements of the Ashtekar-Lewandowski Hilbert space is dense in the space of all states. We consider weak convergence properties of a modified version of the cut-off procedure currently in use in loop quantum gravity. This version is adapted to vector states rather than to general distributions

Availability note (English)

Available online at http://stacks.iop.org/0264-9381/22/3061/cqg5_14_015.pdf or at the Web site for the journal Classical and Quantum Gravity (ISSN 1361-6382) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/0264-9381/22/3061/cqg5_14_015.pdf; http://www.iop.org/;
DOI
10.1088/0264-9381/22/14/015;
PII
S0264-9381(05)94977-0;

Publishing Information

Journal Title
Classical and Quantum Gravity
Journal Volume
22
Journal Issue
14
Journal Page Range
p. 3061-3071
ISSN
0264-9381
CODEN
CQGRDG

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36101491
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ALGEBRA; CONVERGENCE; DISTRIBUTION; HILBERT SPACE; QUANTUM GRAVITY; VECTORS
Descriptors DEC
BANACH SPACE; FIELD THEORIES; MATHEMATICAL SPACE; MATHEMATICS; QUANTUM FIELD THEORY; SPACE; TENSORS