A proposal for analysing the classical limit of kinematic loop gravity

Varadarajan, Madhavan

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3256

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DC Field	Value	Language
dc.contributor.author	Varadarajan, Madhavan	-
dc.date.accessioned	2007-07-16T09:59:17Z	-
dc.date.available	2007-07-16T09:59:17Z	-
dc.date.issued	2000-10	-
dc.identifier.citation	Classical and Quantum Gravity, 2000, Vol.17, p4085-4109	en
dc.identifier.issn	0264-9381	-
dc.identifier.uri	http://hdl.handle.net/2289/3256	-
dc.description	Restricted Access.	en
dc.description.abstract	We analyse the classical limit of kinematic loop quantum gravity in which the diffeomorphism and Hamiltonian constraints are ignored. We show that there are no quantum states in which the primary variables of the loop approach, namely the SU(2) holonomies along all possible loops, approximate their classical counterparts. At most a countable number of loops must be specified. To preserve spatial covariance, we choose this set of loops to be based on physical lattices specified by the quasiclassical states themselves. We construct `macroscopic' operators based on such lattices and propose that these operators be used to analyse the classical limit. Thus, our aim is to approximate classical data using states in which appropriate macroscopic operators have low quantum fluctuations. Although, in principle, the holonomies of `large' loops on these lattices could be used to analyse the classical limit, we argue that it may be simpler to base the analysis on an alternate set of `flux'-based operators. We explicitly construct candidate quasiclassical states in two spatial dimensions and indicate how these constructions may generalize to three dimensions. We discuss the less robust aspects of our proposal with a view towards possible modifications. Finally, we show that our proposal also applies to the diffeomorphism-invariant Rovelli model which couples a matter reference system to the Hussain-Kucha{r} model.	en
dc.format.extent	172636 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	IOP Publishing Ltd.	en
dc.relation.uri	http://dx.doi.org/10.1088/0264-9381/17/19/309	en
dc.rights	2000 IOP Publishing Ltd.	en
dc.title	A proposal for analysing the classical limit of kinematic loop gravity	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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