Boundaries and the Casimir effect in noncommutative space-time

2007/04/30 by Roberto Casadio, A. Gruppuso, Alessandro Gruppuso +3 · 5 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1103/physrevd.76.025016

published as Phys.Rev.D76:025016,2007 · 9 pages, 2 figures

arxiv created 2007/05/22 · openalex publication_date 2007/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• New Developments in the Casimir Effect
• The Casimir effect: Recent controversies and progress
• Quantum mechanics as a statistical theory

Cited by

• Noncommutative approach to the cosmological constant problem
• Casimir effect in minimal length theories based on a generalized uncertainty principle
• Casimir force in Randall-Sundrum models withq+1dimensions
• Fuzziness at the horizon
• Casimir effect in (2+1)-dimensional noncommutative theories

Related

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• On the calculation of the Casimir forces
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• Non-superposition effects in the Dirichlet–Casimir effect