Quantum fields at any time

Torre, C.G.; Varadarajan, Madhavan

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1308

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DC Field	Value	Language
dc.contributor.author	Torre, C.G.	-
dc.contributor.author	Varadarajan, Madhavan	-
dc.date.accessioned	2006-06-06T06:59:14Z	-
dc.date.available	2006-06-06T06:59:14Z	-
dc.date.issued	1998-09-15	-
dc.identifier.citation	Physical Review D, 1998, Vol.58, 064007	en
dc.identifier.issn	ISSN 1550-2368 (online)	-
dc.identifier.issn	1550-7998	-
dc.identifier.uri	http://hdl.handle.net/2289/1308	-
dc.description.abstract	The canonical quantum theory of a free field using arbitrary foliations of a flat two-dimensional spacetime is investigated. It is shown that dynamical evolution along arbitrary spacelike foliations is unitarily implemented on the same Fock space as that associated with inertial foliations. It follows that the Schrödinger picture exists for arbitrary foliations as a unitary image of the Heisenberg picture for the theory. An explicit construction of the Schrödinger picture image of the Heisenberg Fock space states is provided. The results presented here can be interpreted in terms of a Dirac constraint quantization of parametrized field theory. In particular, it is shown that the Schrödinger picture physical states satisfy a functional Schrödinger equation which includes a slice-dependent c-number quantum correction, in accord with a proposal of Kuchař. The spatial diffeomorphism invariance of the Schrödinger picture physical states is established. Fundamental difficulties arise when trying to generalize these results to higher-dimensional spacetimes.	en
dc.format.extent	348164 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	The American Physical Society	en
dc.relation.uri	http://link.aps.org/abstract/PRD/v58/e064007	en
dc.rights	(1998) by the American Physical Society	en
dc.title	Quantum fields at any time	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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