Schwinger's method for the fermionic Casimir effect

Cougo-Pinto, M. V. ; Farina, C. ; Tort, A.
Springer
Published 1996
ISSN:
1573-0530
Keywords:
81V10 ; 33D10 ; Casimir effect ; Dirac fields ; MIT bag model ; Casimir energy
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Physics
Notes:
Abstract The Casimir energy of a massive Dirac field confined between two parallel infinite plates is computed using a method proposed by Schwinger. The massless case is obtained as a limit of the massive case. The boundary conditions are those of zero current through the plates, as inspired by quark confinement in the MIT bag model for hadrons. We use an analytical continuation method of regularization which allows the employment of Epstein function techniques. The calculation using Schwinger's original regularization by a cutoff in proper time is also outlined.
Type of Medium:
Electronic Resource
URL: