SOME POINTS ON CASIMIR FORCES

Abstract

Casimir forces of massive ferrnionic Dirac fields are calculated for parallel plates
geometry in spatial space with dimension d and imposing bag model boundary
conditions. It is shown that in the range of ma>>l where m is mass of fields quanta
and a is the separation distance of the plates, it is equal to massive bosonic fields
Casimir force for each degree of freedom. We argue this equality exists for any
massive anyonic field in two-dimensional spatial space. Also the ratio of massless
ferrnionic field Casimir force to its bosonic correspondent in d-dimensional spatial
spaceis (1- )