Published October 1, 2009 | Version v1
Journal article Metadata-only

Canonical quantization of some midi-superspace models in 2+1 and 3+1 dimensions

Creators

  • 1. Nuclear and Particle Physics Section, Physics Department, University of Athens, GR 157-71 Athens (Greece)
  • 2. Technological Educational Institution of Lamia, Electrical Engineering Department, GR 35-100, Lamia (Greece)
  • 3. Department of Mechanical Engineering, University of Thessaly, GR 383-34 Volos (Greece)
  • 4. Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5 (Canada)
  • 5. School of Applied Mathematics and Physical Sciences, National Technical University of Athens, GR 157-80, Athens (Greece)

Description

A proposal is put forward which enables the canonical quantization of a family of axially symmetric geometries in 2+1 dimensions and a corresponding spherically symmetric family in 3+1 dimensions. The proposal consists of a particular renormalization assumption and an accompanying requirement and results in a Wheeler-DeWitt equation which is based on a renormalized manifold parametrized by three smooth scalar functionals. The aforementioned equation is analytically solved for both the 2+1 and 3+1 case.

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/189/1/012008

Additional details

Identifiers

DOI
10.1088/1742-6596/189/1/012008;

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
189
Journal Issue
1
Journal Page Range
[26 p.]
ISSN
1742-6596

Conference

Title
13. conference on recent developments in gravity
Acronym
NEB XIII
Dates
4-6 Jun 2008
Place
Thessaloniki (Greece)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42027319
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
Resource subtype / Literary indicator
Conference
Descriptors DEI
AXIAL SYMMETRY; COSMOLOGY; FIELD EQUATIONS; FUNCTIONALS; GEOMETRY; QUANTIZATION; RENORMALIZATION; SCALARS; SMOOTH MANIFOLDS
Descriptors DEC
EQUATIONS; FUNCTIONS; MATHEMATICAL MANIFOLDS; MATHEMATICS; SYMMETRY