A quantum kinematics for asymptotically flat gravity

Campiglia, Miguel; Varadarajan, Madhavan

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6299

Full metadata record

DC Field	Value	Language
dc.contributor.author	Campiglia, Miguel	-
dc.contributor.author	Varadarajan, Madhavan	-
dc.date.accessioned	2015-09-29T11:51:09Z	-
dc.date.available	2015-09-29T11:51:09Z	-
dc.date.issued	2015-07-09	-
dc.identifier.citation	Classical and Quantum Gravity, 2015, Vol.32, p135011	en
dc.identifier.issn	0264-9381	-
dc.identifier.issn	1361-6382 (online)	-
dc.identifier.uri	http://hdl.handle.net/2289/6299	-
dc.description	Open Access	en
dc.description.abstract	We construct a quantum kinematics for asymptotically flat gravity based on the Koslowski–Sahlmann (KS) representation. The KS representation is a generalization of the representation underlying loop quantum gravity (LQG) which supports, in addition to the usual LQG operators, the action of 'background exponential operators', which are connection dependent operators labelled by 'background' su(2) electric fields. KS states have, in addition to the LQG state label corresponding to one dimensional excitations of the triad, a label corresponding to a 'background' electric field that describes three dimensional excitations of the triad. Asymptotic behaviour in quantum theory is controlled through asymptotic conditions on the background electric fields that label the states and the background electric fields that label the operators. Asymptotic conditions on the triad are imposed as conditions on the background electric field state label while confining the LQG spin net graph labels to compact sets. We show that KS states can be realised as wave functions on a quantum configuration space of generalized connections and that the asymptotic behaviour of each such generalized connection is determined by that of the background electric fields which label the background exponential operators. Similar to the spatially compact case, the Gauss law and diffeomorphism constraints are then imposed through group averaging techniques to obtain a large sector of gauge invariant states. It is shown that this sector supports a unitary action of the group of asymptotic rotations and translations and that, as anticipated by Friedman and Sorkin, for appropriate spatial topology, this sector contains states that display fermionic behaviour under $2\pi $ rotations	en
dc.language.iso	en	en
dc.publisher	IOP Publishing Ltd.	en
dc.relation.uri	http://arxiv.org/abs/1412.5527	en
dc.relation.uri	http://dx.doi.org/10.1088/0264-9381/32/13/135011	en
dc.relation.uri	http://adsabs.harvard.edu/abs/2015CQGra..32m5011C	en
dc.rights	2015 IOP Publishing Ltd.	en
dc.title	A quantum kinematics for asymptotically flat gravity	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

Files in This Item:

File	Description	Size	Format
2015_CQG_32_135011.pdf	Open Access	869.74 kB	Adobe PDF	View/Open

Show simple item record