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A quantum weak energy inequality for spin-one fields in curved space–time

Fewster, C.J. and Pfenning, M.J. (2003) A quantum weak energy inequality for spin-one fields in curved space–time. Journal of Mathematical Physics, 44 (10). pp. 4480-4513. ISSN 0022-2488

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Quantum weak energy inequalities (QWEI) provide state-independent lower bounds on averages of the renormalized energy density of a quantum field. We derive QWEIs for the electromagnetic and massive spin-one fields in globally hyperbolic space–times whose Cauchy surfaces are compact and have trivial first homology group. These inequalities provide lower bounds on weighted averages of the renormalized energy density as "measured" along an arbitrary timelike trajectory, and are valid for arbitrary Hadamard states of the spin-one fields. The QWEI bound takes a particularly simple form for averaging along static trajectories in ultrastatic space–times; as specific examples we consider Minkowski space (in which case the topological restrictions may be dispensed with) and the static Einstein universe. A significant part of the paper is devoted to the definition and properties of Hadamard states of spin-one fields in curved space–times, particularly with regard to their microlocal behavior.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 21 Apr 2009 12:26
Last Modified: 21 Apr 2009 12:26
Published Version: http://dx.doi.org/10.1063/1.1602554
Status: Published
Publisher: American Institute of Physics
Identification Number: 10.1063/1.1602554
URI: http://eprints.whiterose.ac.uk/id/eprint/6775

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