An explicit quantum weak energy inequality for Dirac fields in curved spacetimes

Details An explicit quantum weak energy inequality for Dirac fields in curved spacetimes An explicit quantum weak energy inequality for Dirac fields in curved spacetimes

2006-04-25

arxiv.org/abs/gr-qc/0604106v2

Class.Quant.Grav.23:6659-6681,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 0 figures

Scientific paper

10.1088/0264-9381/23/23/005

The quantized Dirac field is known, by a result of Fewster and Verch, to satisfy a Quantum Weak Energy Inequality (QWEI) on its averaged energy density along time-like curves in arbitrary four-dimensional globally hyperbolic spacetimes. However, this result does not provide an explicit form for the bound. By adapting ideas from the earlier work, we give a simplified derivation of a QWEI for the Dirac field leading to an explicit bound. The bound simplifies further in the case of static curves in static spacetimes, and, in particular, coincides with a result of Fewster and Mistry in four-dimensional Minkowski spacetime. We also show that our QWEI is compatible with local covariance and derive a simple consequence.

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