Published in
IOP Publishing, Journal of Physics A: Mathematical and Theoretical, 16(41), p. 164011, 2008
DOI: 10.1088/1751-8113/41/16/164011
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The Casimir effect in the boundary state formalism
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Abstract
Casimir effect in the planar setting is described using the boundary state formalism, for general partially reflecting boundaries. It is expressed in terms of the low-energy degrees of freedom, which provides a large distance expansion valid for general interacting field theories provided there is a non-vanishing mass gap. The expansion is written in terms of the scattering amplitudes, and needs no ultraviolet renormalization. We also discuss the case when the quantum field has a nontrivial vacuum configuration.