The graviton vacuum as a distributional state in kinematic loop quantum gravity

Varadarajan, Madhavan

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/2238

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DC Field	Value	Language
dc.contributor.author	Varadarajan, Madhavan	-
dc.date.accessioned	2007-04-04T10:44:26Z	-
dc.date.available	2007-04-04T10:44:26Z	-
dc.date.issued	2005-04-07	-
dc.identifier.citation	Classical and Quantum Gravity, 2005, Vol.22, p1207-1237	en
dc.identifier.issn	0264-9381	-
dc.identifier.uri	http://hdl.handle.net/2289/2238	-
dc.description	Restricted Access. An open access version is available at arXiv.org.(one of the alternative locations)	en
dc.description.abstract	The quantum behaviour of weak gravitational fields admits an adequate, albeit approximate, description by those graviton states in which the expectation values and fluctuations of the linearized gravitational field are small. Such states must approximate corresponding states in full quantum gravity. We analyse the nature of this approximation for the graviton vacuum state in the context of kinematical loop quantum gravity (LQG) wherein the constraints are ignored. We identify the graviton vacuum state with kinematically non-normalizable, distributional states in LQG by demanding that relations between linearized operator actions on the former are mirrored by those of their nonlinear counterparts on the latter. We define a semi-norm on the space of kinematical distributions and show that the identification is approximate up to distributions which are small in this semi-norm. We argue that our candidate states are annihilated by the linearized constraints (expressed as operators in the full theory) to leading order in the parameter characterizing the approximation. This suggests the possibility, in a scheme such as ours, of solving the full constraints order by order in this parameter. The main drawback of our considerations is that they depend on certain auxilliary constructions which, though mathematically well defined, do not arise from physical insight. Our work is an attempt to implement an earlier proposal of Iwasaki and Rovelli.	en
dc.format.extent	361431 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	IOP Publishing Ltd	en
dc.relation.uri	http://dx.doi.org/10.1088/0264-9381/22/7/002	en
dc.relation.uri	http://arxiv.org/abs/gr-qc/0410120	en
dc.rights	2005 IOP Publishing Ltd.	en
dc.title	The graviton vacuum as a distributional state in kinematic loop quantum gravity	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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