Boundaries and the Casimir effect in non-commutative space-time

Abstract

We calculate modifications to the scalar Casimir force between two parallel plates due to space-time non-commutativity. We devise a heuristic approach to overcome the difficulties of describing boundaries in non-commutative theories and predict that boundary corrections are of the same order as non-commutative volume corrections. Further, both corrections have the form of more conventional finite surface effects.

9 pages, 2 figures

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• Minimal Scales from an Extended Hilbert Space
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