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A quantum weak energy inequality for the Dirac field in two-dimensional flat spacetime

2005/08/31 by S. P. Dawson, S P Dawson · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #gr-qc

paper · pdf · doi:10.1088/0264-9381/23/1/014

published as Class.Quant.Grav. 23 (2006) 287-293 · Version published in Classical and Quantum Gravity. 7 pages, 1 figure

arxiv created 2005/12/14 · openalex publication_date 2005/12/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Fewster and Mistry have given an explicit, non-optimal quantum weak energy inequality that constrains the smeared energy density of Dirac fields in Minkowski spacetime. Here, their argument is adapted to the case of flat, two-dimensional spacetime. The non-optimal bound thereby obtained has the same order of magnitude, in the limit of zero mass, as the optimal bound of Vollick. In contrast with Vollick's bound, the bound presented here holds for all (non-negative) values of the field mass m .

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