Lamb Shift for static atoms outside a Schwarzschild black hole

Details Lamb Shift for static atoms outside a Schwarzschild black hole Lamb Shift for static atoms outside a Schwarzschild black hole

2010-11-07

arxiv.org/abs/1011.1619v1

Phys.Rev.D82:104030,2010

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures, to be published in PRD

Scientific paper

10.1103/PhysRevD.82.104030

We study, by separately calculating the contributions of vacuum fluctuations and radiation reaction to the atomic energy level shift, the Lamb shift of a static two-level atom interacting with real massless scalar fields in the Boulware, Unruh and Hartle-Hawking vacuums outside a Schwarzschild black hole. We find that in the Boulware vacuum, the Lamb shift gets a correction arising as a result of the backscattering of vacuum field modes off the space-time curvature, which is reminiscent of the correction to the Lamb shift induced by the presence of cavities. However, when the Unruh and Hartle-Hawking vacua are concerned, our results show that the Lamb shift behaves as if the atom were irradiated by a thermal radiation or immersed in a thermal bath at the Hawking temperature, depending on whether the scalar field is in the Unruh or the Hartle-Hawking vacuum. Remarkably, the thermal radiation is always backscattered by the space-time geometry.

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