Mass Dependence of Quantum Energy Inequality Bounds

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dc.creatorEveson, Simon P.
dc.creatorFewster, Christopher J.
dc.date2007-02-21
dc.date.accessioned2026-07-07T11:23:47Z
dc.date.available2026-07-07T11:23:47Z
dc.descriptionIn a recent paper [J. Math. Phys. 47 082303 (2006)], Quantum Energy Inequalities were used to place simple geometrical bounds on the energy densities of quantum fields in Minkowskian spacetime regions. Here, we refine this analysis for massive fields, obtaining more stringent bounds which decay exponentially in the mass. At the technical level this involves the determination of the asymptotic behaviour of the lowest eigenvalue of a family of polyharmonic differential equations, a result which may be of independent interest. We compare our resulting bounds with the known energy density of the ground state on a cylinder spacetime. In addition, we generalise some of our technical results to general $L^p$-spaces and draw comparisons with a similar result in the literature.
dc.description15pp LaTeX2e
dc.identifierhttps://arxiv.org/abs/math-ph/0702074
dc.identifierhttp://arxiv.org/abs/math-ph/0702074
dc.identifierJ.Math.Phys.48:093506,2007
dc.identifierdoi:10.1063/1.2779137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195009
dc.subjectMathematical Physics
dc.titleMass Dependence of Quantum Energy Inequality Bounds
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