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Title: Loop quantum cosmology of diagonal Bianchi type I model: Simplifications and scaling problems

Abstract

A simplified theory of the diagonal Bianchi type I model coupled with a massless scalar field in loop quantum cosmology is constructed according to the {mu} scheme. Kinematical and physical sectors of the theory are under good analytical control as well as the scalar constraint operator. Although it is possible to compute numerically the nonsingular evolution of the three gravitational degrees of freedom, the naive implementation of the {mu} scheme to the diagonal Bianchi type I model is problematic. The lack of the full invariance of the theory with respect to the fiducial cell and fiducial metric scaling causes serious problems in the semiclassical limit of the theory. Because of this behavior it is very difficult to extract reasonable physics from the model. The weaknesses of the implementation of the {mu} scheme to the Bianchi I model do not imply limitations of the {mu} scheme in the isotropic case.

Authors:
 [1]
  1. Institute of Theoretical Physics, University of Warsaw ul. Hoza 69, 00-681 Warszawa (Poland)
Publication Date:
OSTI Identifier:
21254116
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 78; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.78.064035; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; DEGREES OF FREEDOM; EVOLUTION; IMPLEMENTATION; QUANTUM GRAVITY; SCALAR FIELDS; SCALING; SEMICLASSICAL APPROXIMATION

Citation Formats

Szulc, Lukasz. Loop quantum cosmology of diagonal Bianchi type I model: Simplifications and scaling problems. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.78.064035.
Szulc, Lukasz. Loop quantum cosmology of diagonal Bianchi type I model: Simplifications and scaling problems. United States. https://doi.org/10.1103/PHYSREVD.78.064035
Szulc, Lukasz. 2008. "Loop quantum cosmology of diagonal Bianchi type I model: Simplifications and scaling problems". United States. https://doi.org/10.1103/PHYSREVD.78.064035.
@article{osti_21254116,
title = {Loop quantum cosmology of diagonal Bianchi type I model: Simplifications and scaling problems},
author = {Szulc, Lukasz},
abstractNote = {A simplified theory of the diagonal Bianchi type I model coupled with a massless scalar field in loop quantum cosmology is constructed according to the {mu} scheme. Kinematical and physical sectors of the theory are under good analytical control as well as the scalar constraint operator. Although it is possible to compute numerically the nonsingular evolution of the three gravitational degrees of freedom, the naive implementation of the {mu} scheme to the diagonal Bianchi type I model is problematic. The lack of the full invariance of the theory with respect to the fiducial cell and fiducial metric scaling causes serious problems in the semiclassical limit of the theory. Because of this behavior it is very difficult to extract reasonable physics from the model. The weaknesses of the implementation of the {mu} scheme to the Bianchi I model do not imply limitations of the {mu} scheme in the isotropic case.},
doi = {10.1103/PHYSREVD.78.064035},
url = {https://www.osti.gov/biblio/21254116}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 78,
place = {United States},
year = {Mon Sep 15 00:00:00 EDT 2008},
month = {Mon Sep 15 00:00:00 EDT 2008}
}