
VOLUME 73  ISSUE 8 
PAGE 419

Mesoscopic Casimir forces in quantum vacuum

G. E. Volovik
Low Temperature Laboratory, Helsinki University of Technology, FIN02015 HUT, Finland L.D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia

PACS: 04.90.+e, 11.10.z, 67.20.+k

Abstract
Traditionally it is assumed that the Casimir vacuum pressure does not depend on the ultraviolet cutoff. There are, however, some arguments that the effect actually depends on the regularization procedure and thus on the transPlanckian physics. We provide the condensed matter example where the Casimir forces do explicitly depend on the microscopic (correspondingly transPlanckian) physics due to the mesoscopic finiteN effects, where N is the number of bare particles in condensed matter (or correspondingly the number of the elements comprising the quantum vacuum). The finiteN effects lead to mesoscopic fluctuations of the vacuum pressure. The amplitude of the mesoscopic flustuations of the Casimir force in a system with linear dimension L is by the factor larger than the traditional value of the Casimir force given by effective theory, where is the interatomic distance which plays the role of the Planck length.


Download PS file (GZipped, 59.5K)

Download PDF file (162.1K)


