Schwinger's method for the fermionic Casimir effect at finite temperature
โ Scribed by M. V. Cougo-Pinto; C. Farina; A. Tort
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 147 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
โฆ Synopsis
The Casimir energy of a massive Dirac field at finite temperature and confined between two parallel infinite plates is computed using a method proposed by Schwinger. 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 Schwinger's original regularization by a cutoff in proper-time. We comment on the analytical continuation method of regularization, which allows the employment of Epstein function techniques, and on the different possible expressions for the final answer.
๐ SIMILAR VOLUMES
Vacuum fluctuations of massless fermions between two parallel and confining plates give rise to an attractive Casimir force at zero temperature. It becomes repulsive at sufficiently high temperatures. All thermodynamic quantities are given by the free energy which satisfies a remarkable symmetry und