Spatially averaged quantum inequalities do not exist in four-dimensional space-time
Aug, 2002
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Abstract: (arXiv)
We construct a particular class of quantum states for a massless, minimally coupled free scalar field which are of the form of a superposition of the vacuum and multi-mode two-particle states. These states can exhibit local negative energy densities. Furthermore, they can produce an arbitrarily large amount of negative energy in a given region of space at a fixed time. This class of states thus provides an explicit counterexample to the existence of a spatially averaged quantum inequality in four-dimensional spacetime.- 42.50.Dv
- 04.62.+v
- 03.70.+k
- field theory: scalar
- massless
- coupling: minimal
- energy: density
- two-point function
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