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

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

2007-05-15

arxiv.org/abs/0705.2203v1

Class.Quant.Grav.24:4733-4750,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/24/18/012

Quantum Weak Energy Inequalities (QWEIs) are results which limit the extent to which the smeared renormalised 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.

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