Casimir-like corrections to the classical tensions of the strings and
membranes
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by
Y. Koohsarian, A. Shirzad
2013
Abstract
We find the Casimir-like energies for strings and membranes. We show that the
related Casimir forces can be interpreted as quantum corrections to the
classical tensions of the strings and membranes. We see that these corrections
always increase the tensions of the circular string as well as spherical
membrane, while for the straight string, rectangular and cylindrical membranes,
these Casimir forces may increase or decrease the tensions. So we find that the
quantum vacuum can break the (tensional) isotropy of the rectangular and
cylindrical membranes. Also obtaining the nonzero-temperature Casimir energy,
we find relations for the tensions at nonzero temperature.
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1312.0536v6
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