Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity?

Samuel, J.

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3258

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DC Field	Value	Language
dc.contributor.author	Samuel, J.	-
dc.date.accessioned	2007-07-16T10:43:33Z	-
dc.date.available	2007-07-16T10:43:33Z	-
dc.date.issued	2000-10	-
dc.identifier.citation	Classical and Quantum Gravity, 2000, Vol.17, pL141-L148	en
dc.identifier.issn	0264-9381	-
dc.identifier.uri	http://hdl.handle.net/2289/3258	-
dc.description	Restricted Access.	en
dc.description.abstract	This letter is a critique of Barbero's constrained Hamiltonian formulation of general relativity, on which current work in loop quantum gravity is based. While we do not dispute the correctness of Barbero's formulation of general relativity, we offer some criticisms of an aesthetic nature. We point out that unlike Ashtekar's complex SU(2) connection, Barbero's real SO(3) connection does not admit an interpretation as a space-time gauge field. We show that if one tries to interpret Barbero's real SO(3) connection as a space-time gauge field, the theory is not diffeomorphism invariant. We conclude that Barbero's formulation is not a gauge theory of gravity in the sense that Ashtekar's Hamiltonian formulation is. The advantages of Barbero's real connection formulation have been bought at the price of giving up the description of gravity as a gauge field. PACS numbers: 0330, 0365, 0420	en
dc.format.extent	80119 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	IOP Publishing Ltd.	en
dc.relation.uri	http://dx.doi.org/10.1088/0264-9381/17/20/101	en
dc.rights	2000 IOP Publishing Ltd.	en
dc.title	Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity?	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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