2007/05/15 by Calvin J. Smith · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Dirac (video compression format) #Field (mathematics) #Mathematical physics #Negative energy #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum field theory #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Quantum state #Spacetime #Theoretical physics #gr-qc
paper · pdf · doi:10.1088/0264-9381/24/18/012
published as Class.Quant.Grav.24:4733-4750,2007
arxiv created 2007/05/15 · openalex publication_date 2007/09/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Quantum weak energy inequalities (QWEIs) are results which limit the extent to which the smeared renormalized energy density of a quantum field can be negative. On globally hyperbolic spacetimes the massive quantum Dirac field is known to obey a QWEI in terms of a reference state chosen arbitrarily from the class of Hadamard states; however, there exist spacetimes of interest on which state-dependent bounds cannot be evaluated. In this paper we prove the first QWEI for the massive quantum Dirac field on four-dimensional globally hyperbolic spacetime in which the bound depends only on the local geometry; such a QWEI is known as an absolute QWEI.