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Title:
Effective constraints of loop quantum gravity
Authors:
Bojowald, Martin; Kagan, Mikhail; Hernández, Hector H.; Skirzewski, Aureliano
Affiliation:
AA(Institute for Gravitational Physics and Geometry, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA), AB(Institute for Gravitational Physics and Geometry, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA), AA(Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Potsdam, Germany), AB(Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Potsdam, Germany)
Publication:
Physical Review D, vol. 75, Issue 6, id. 064022 (PhRvD Homepage)
Publication Date:
03/2007
Origin:
APS
PACS Keywords:
Loop quantum gravity, quantum geometry, spin foams, Semiclassical theories and applications
Abstract Copyright:
(c) 2007: The American Physical Society
DOI:
10.1103/PhysRevD.75.064022
Bibliographic Code:
2007PhRvD..75f4022B

Abstract

Within a perturbative cosmological regime of loop quantum gravity corrections to effective constraints are computed. This takes into account all inhomogeneous degrees of freedom relevant for scalar metric modes around flat space and results in explicit expressions for modified coefficients and of higher order terms. It also illustrates the role of different scales determining the relative magnitude of corrections. Our results demonstrate that loop quantum gravity has the correct classical limit, at least in its sector of cosmological perturbations around flat space, in the sense of perturbative effective theory.
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