Title:	Quantum fields at any time
Authors:	Torre, C.G. Varadarajan, Madhavan
Issue Date:	15-Sep-1998
Publisher:	The American Physical Society
Citation:	Physical Review D, 1998, Vol.58, 064007
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.
URI:	http://hdl.handle.net/2289/1308
ISSN:	ISSN 1550-2368 (online) 1550-7998
Alternative Location:	http://link.aps.org/abstract/PRD/v58/e064007
Copyright:	(1998) by the American Physical Society
Appears in Collections:	Research Papers (TP)

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