Casimir Forces between Beads on Strings and Membranes
High Energy Physics - Theory
2009-10-28 v1 Condensed Matter
Abstract
We develop a general formalism to calculate the force between beads attached to a flat -dimensional membrane due to the quantum fluctuations of the membrane. The interaction potential is derived as a function of and the membrane energy density, tension, stiffness and temperature. We find that the induced interactions turn off when exceeds a certain critical dimension. The potential is attractive in all cases where it is non-zero and at finite temperature falls off exponentially for large distances.
Keywords
Cite
@article{arxiv.hep-th/9412055,
title = {Casimir Forces between Beads on Strings and Membranes},
author = {Eric D'Hoker and Pierre Sikivie and Youli Kanev},
journal= {arXiv preprint arXiv:hep-th/9412055},
year = {2009}
}
Comments
Plain Tex, Tables.tex macro required, 9 pages