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Relation between polymer and Fock excitations

Abhay Ashtekar1,3 and Jerzy Lewandowski1,2,3

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LETTER TO THE EDITOR

To bridge the gap between background-independent, non-perturbative quantum gravity and low-energy physics described by perturbative field theory in Minkowski spacetime, Minkowskian Fock states are located, analysed and used in the background-independent framework. This approach to the analysis of semiclassical issues is motivated by the recent results of Varadarajan (Varadarajan M and Zapata J A 2000 Class. Quantum Grav. 17 4085-109). As in that work, we use the simpler U(1) example to illustrate our constructions but, in contrast to that work, we formulate the theory in such a way that it can be extended to full general relativity.


PACS

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

04.60.Ds Canonical quantization

MSC

83Cxx General relativity

Subjects

Gravitation and cosmology

Dates

Issue 18 (21 September 2001)

Received 15 August 2001

Published 5 September 2001



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