Finite Temperature Casimir Effect for Massless Majorana Fermions in a Magnetic Field
arXiv:1010.5267 · doi:10.1103/PhysRevD.83.025005
Abstract
The zeta function regularization technique is used to study the finite temperature Casimir effect for a massless Majorana fermion field confined between parallel plates and satisfying bag boundary conditions. A magnetic field perpendicular to the plates is included. An expression for the zeta function is obtained, which is exact to all orders in the magnetic field strength, temperature and plate distance. The zeta function is used to calculate the Helmholtz free energy of the Majorana field and the pressure on the plates, in the case of weak magnetic field and strong magnetic field. In both cases, simple analytic expressions are obtained for the free energy and pressure which are very accurate and valid for all values of the temperature and plate distance.
10 pages, RevTeX4
References in corpus (15)
- Casimir force on a piston
- Uses of zeta regularization in QFT with boundary conditions: a cosmo-topological Casimir effect
- Casimir interaction of two plates inside a cylinder
- Casimir piston for massless scalar fields in three dimensions
- Direct Detection of Dark Matter Rates for Various Wimps
- Casimir Forces in a Piston Geometry at Zero and Finite Temperatures
- Kaluza-Klein models as pistons
- The Casimir Force in Randall Sundrum Models
- Casimir force for a scalar field in warped brane worlds
- The Casimir force on a piston in the spacetime with extra compactified dimensions
- Majorana bound state in rotating superfluid 3He-A between parallel plates
- The asymptotic behavior of Casimir force in the presence of compactified universal extra dimensions
- Zeta Function Methods and Quantum Fluctuations
- 3D scalar model as a 4D perfect conductor limit: dimensional reduction and variational boundary conditions
- The Casimir effect for parallel plates involving massless Majorana fermions at finite temperature