Casimir dynamics: Interactions of Surfaces with codimension >1 due to Quantum Fluctuations

Abstract

We study the Casimir force between defects (branes) of co-dimension larger than 1 due to quantum fluctuations of a scalar field $\varphi$ living in the bulk. We show that the Casimir force is attractive and that it diverges as the distance between the branes approaches a critical value $L_c$. Below this critical distance $L_c$ the vacuum state $\varphi =0$ of the theory is unstable, due to the birth of a tachyon, and the field condenses.

21 pages, 3 figures. Published version

References in corpus (3)

• Casimir Effects: An Optical Approach I. Foundations and Examples
• Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions
• Casimir buoyancy

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