Mass dependence of quantum energy inequality bounds

Simon P. Eveson; Christopher J. Fewster

doi:10.1063/1.2779137

Mass dependence of quantum energy inequality bounds

Simon P. Eveson, Christopher J. Fewster

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In a recent paper [C. J. Fewster and M. J. Pfenning, 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 space-time 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 behavior 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 space-time. In addition, we generalize some of our technical results to general L-p spaces and draw comparisons with a similar result in the literature. (c) 2007 American Institute of Physics.

Original language	English
Article number	093506
Pages (from-to)	093506:1-13
Number of pages	13
Journal	Journal of Mathematical Physics
Volume	48
Issue number	9
DOIs	https://doi.org/10.1063/1.2779137
Publication status	Published - Sept 2007

Keywords

VOLTERRA OPERATORS
FIELD
NORM

Access to Document

10.1063/1.2779137

http://arxiv.org/abs/math-ph/070274

Cite this

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title = "Mass dependence of quantum energy inequality bounds",

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