Quantum Weak Energy Inequalities for the Dirac field in Flat Spacetime

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dc.creatorFewster, C. J.
dc.creatorMistry, B.
dc.date2003-07-23
dc.date2003-09-16
dc.date.accessioned2026-07-07T11:46:21Z
dc.date.available2026-07-07T11:46:21Z
dc.descriptionQuantum Weak Energy Inequalities (QWEIs) have been established for a variety of quantum field theories in both flat and curved spacetimes. Dirac fields are known (by a result of Fewster and Verch) to satisfy QWEIs under very general circumstances. However this result does not provide an explicit formula for the QWEI bound, so its magnitude has not previously been determined. In this paper we present a new and explicit QWEI bound for Dirac fields of arbitrary mass in four-dimensional Minkowski space. We follow the methods employed by Fewster and Eveson for the scalar field, modified to take account of anticommutation relations. A key ingredient is an identity for Fourier transforms established by Fewster and Verch. We also compare our QWEI with those previously obtained for scalar and spin-1 fields.
dc.description8 pages, REVTeX4, version to appear in Phys Rev D
dc.identifierhttps://arxiv.org/abs/gr-qc/0307098
dc.identifierhttp://arxiv.org/abs/gr-qc/0307098
dc.identifierPhys.Rev.D68:105010,2003
dc.identifierdoi:10.1103/PhysRevD.68.105010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202193
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Weak Energy Inequalities for the Dirac field in Flat Spacetime
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