Quantum interest in two dimensions

Details Quantum interest in two dimensions Quantum interest in two dimensions

2002-06-21

arxiv.org/abs/gr-qc/0206066v2

Phys.Rev. D66 (2002) 064007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 4 figures; final version to appear in PRD

Scientific paper

10.1103/PhysRevD.66.064007

The quantum interest conjecture of Ford and Roman asserts that any negative-energy pulse must necessarily be followed by an over-compensating positive-energy one within a certain maximum time delay. Furthermore, the minimum amount of over-compensation increases with the separation between the pulses. In this paper, we first study the case of a negative-energy square pulse followed by a positive-energy one for a minimally coupled, massless scalar field in two-dimensional Minkowski space. We obtain explicit expressions for the maximum time delay and the amount of over-compensation needed, using a previously developed eigenvalue approach. These results are then used to give a proof of the quantum interest conjecture for massless scalar fields in two dimensions, valid for general energy distributions.

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