Functional evolution of quantum cylindrical waves

Cho, Demian H.J.; Varadarajan, Madhavan

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1746

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DC Field	Value	Language
dc.contributor.author	Cho, Demian H.J.	-
dc.contributor.author	Varadarajan, Madhavan	-
dc.date.accessioned	2007-01-08T05:56:52Z	-
dc.date.available	2007-01-08T05:56:52Z	-
dc.date.issued	2006-11-21	-
dc.identifier.citation	Classical and Quantum Gravity, 2006, Vol.23, p6115-6140	en
dc.identifier.issn	0264-9381	-
dc.identifier.issn	1361-6382 (Online)	-
dc.identifier.uri	http://hdl.handle.net/2289/1746	-
dc.description	Restricted Access. An open access version is available at arXiv.org.	en
dc.description.abstract	Kuchar showed that the quantum dynamics of (one polarization) cylindrical wave solutions to vacuum general relativity is determined by those of a free axially symmetric scalar field along arbitrary axially symmetric foliations of a fixed flat (2 + 1)-dimensional spacetime. We investigate if such a dynamics can be defined unitarily within the standard Fock space quantization of the scalar field. Evolution between two arbitrary slices of an arbitrary foliation of the flat spacetime can be built out of a restricted class of evolutions (and their inverses). The restricted evolution is from an initial flat slice to an arbitrary (in general, curved) slice of the flat spacetime and can be decomposed into (i) 'time' evolution in which the spatial Minkowskian coordinates serve as spatial coordinates on the initial and the final slice, followed by (ii) the action of a spatial diffeomorphism of the final slice on the data obtained from (i). We show that although the functional evolution of (i) is unitarily implemented in the quantum theory, generic spatial diffeomorphisms of (ii) are not. Our results imply that a Tomanaga–Schwinger type functional evolution of quantum cylindrical waves is not a viable concept even though, remarkably, the more limited notion of functional evolution in Kuchar's 'half-parametrized formalism' is well defined.	en
dc.format.extent	349569 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	The Institute of Physics Publishing	en
dc.relation.uri	http://dx.doi.org/10.1088/0264-9381/23/22/003	en
dc.relation.uri	http://arxiv.org/abs/gr-qc/0605065	en
dc.rights	(2006) by the Institute of Physics	en
dc.title	Functional evolution of quantum cylindrical waves	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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