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Casimir effect for the massless Dirac field in two-dimensional Reissner-Nordström spacetime

Xin-Qin Gao·Jian-Yang Zhu
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Abstract

In this paper, the two-dimensional Reissner-Nordström black hole is considered as a system of the Casimir type. In this background the Casimir effect for the massless Dirac field is discussed. The massless Dirac field is confined between two ``parallel plates'' separated by a distance $L$ and there is no particle current drilling through the boundaries. The vacuum expectation values of the stress tensor of the massless Dirac field at infinity are calculated separately in the Boulware state, the Hartle-Hawking state and the Unruh state.

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Xin-Qin Gao, Jian-Yang Zhu. 2006-04-11. Casimir effect for the massless Dirac field in two-dimensional Reissner-Nordström spacetime. https://doi.org/10.1142/s0218271806008796

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