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Quantum Weak Energy Inequalities (QWEIs) are results which limit the extentto which the smeared renormalised energy density of a quantum field can benegative. On globally hyperbolic spacetimes the massive quantum Dirac field isknown to obey a QWEI in terms of a reference state chosen arbitrarily from theclass of Hadamard states; however, there exist spacetimes of interest on whichstate-dependent bounds cannot be evaluated. In this paper we prove the firstQWEI for the massive quantum Dirac field on four dimensional globallyhyperbolic spacetime in which the bound depends only on the local geometry;such a QWEI is known as an absolute QWEI.

An absolute quantum energy inequality for the Dirac field in curved spacetime