Gravitons from a loop representation of linearized gravity

Varadarajan, Madhavan

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1217

Full metadata record

DC Field	Value	Language
dc.contributor.author	Varadarajan, Madhavan	-
dc.date.accessioned	2006-05-12T10:53:38Z	-
dc.date.available	2006-05-12T10:53:38Z	-
dc.date.issued	2002	-
dc.identifier.citation	Physical Review D, 2002, Vol.66, 024017	en
dc.identifier.issn	1550-7998	-
dc.identifier.issn	1550-2368 (online)	-
dc.identifier.uri	http://hdl.handle.net/2289/1217	-
dc.description.abstract	Loop quantum gravity is based on a classical formulation of 3+1 gravity in terms of a real SU(2) connection. Linearization of this classical formulation about a flat background yields a description of linearized gravity in terms of a real U(1)×U(1)×U(1) connection. A “loop” representation, in which holonomies of this connection are unitary operators, can be constructed. These holonomies are not well defined operators in the standard graviton Fock representation. We generalize our recent work on photons and U(1) holonomies to show that Fock space gravitons are associated with distributional states in the U(1)×U(1)×U(1) loop representation. Our results may illuminate certain aspects of the much deeper (and as yet unkown) relation between gravitons and states in nonperturbative loop quantum gravity. This work leans heavily on earlier seminal work by Ashtekar, Rovelli and Smolin (ARS) on the loop representation of linearized gravity using complex connections. In the last part of this work we show that the loop representation based on the real U(1)×U(1)×U(1) connection also provides a useful kinematic arena in which it is possible to express the ARS complex connection-based results in the mathematically precise language currently used in the field	en
dc.format.extent	122558 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	The American Physical Society	en
dc.relation.uri	http://prola.aps.org/abstract/PRD/v66/i2/e024017	en
dc.rights	(2002) by the American Physical Society	en
dc.title	Gravitons from a loop representation of linearized gravity	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

Files in This Item:

File	Description	Size	Format
2002 Physical Review 'D' V66 024017p.pdf	9p.	119.69 kB	Adobe PDF	View/Open

Show simple item record