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

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

2005-01-16

arxiv.org/abs/gr-qc/0501049v2

Int.J.Mod.Phys. D15 (2006) 1473-1486

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, no figure. Accepted for publication in IJMPD

Scientific paper

10.1142/S0218271806008796

In this paper, the two-dimensional Reissner-Nordstr\"{o}m 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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