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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages, 3 figures. Published version

Scientific paper

10.1103/PhysRevD.72.065004

We study the Casimir force between defects (branes) of co-dimension larger than 1 due to quantum fluctuations of a scalar field $\phi$ 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 $\phi=0$ of the theory is unstable, due to the birth of a tachyon, and the field condenses.

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