Slab Bag Fermionic Casimir effect, Chiral Boundaries and Vector Boson - Majorana Fermion Pistons

Abstract

In this article we consider the Casimir energy and force of massless Majorana fermions and vector bosons between parallel plates. The vector bosons satisfy perfect electric conductor boundary conditions while the Majorana fermions satisfy bag and chiral boundary conditions. We consider various piston configurations containing one vector boson and one fermion. We present a new regularization mechanism the piston offers. In our case regularization occurs explicitly at the Casimir energy density and not at the Casimir force level, as in usual pistons. We make use of boundary broken supersymmetry to explain the number of fields that appear in all the studied cases. The effect of chiral boundary conditions in a fermion boson system is investigated. Concerning the supersymmetry issue and the vanishing Casimir energy, we study a massive Dirac fermion-scalar boson system with bag and specific Robin type boundary conditions for which the Casimir energy vanishes. Finally a two scalar bosons system between parallel plates is presented in which the singularities vanish in the total Casimir energy. A discussion on boundary broken supersymmetry follows.

20 pages, 2 figures

References in corpus (19)

• Casimir force on a piston
• Uses of zeta regularization in QFT with boundary conditions: a cosmo-topological Casimir effect
• Reliable determination of vortex parameters from measurements of the microwave complex resistivity
• 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 pistons with hybrid boundary conditions
• Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes
• Kaluza-Klein models as pistons
• The Casimir force on a piston in the spacetime with extra compactified dimensions
• The perfect magnetic conductor (PMC) Casimir piston in d+1 dimensions
• Finite Temperature Casimir Effect in Kaluza-Klein Spacetime
• Finite temperature Casimir effect in spacetime with extra compactified dimensions
• Comment on: "The Casimir force on a piston in the spacetime with extra compactified dimensions" [Phys. Lett. B 668 (2008) 72]
• Majorana bound state in rotating superfluid 3He-A between parallel plates
• Zeta Function Methods and Quantum Fluctuations
• Finite temperature Casimir effect in piston geometry and its classical limit
• Casimir Pistons for Massive Scalar Fields
• Half quantum vortices and Majorana fermions in triplet superconductors

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• Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field
• The Casimir effect for parallel plates involving massless Majorana fermions at finite temperature
• Finite temperature Casimir effect for massive scalars in a magnetic field
• Fermionic Casimir effect with helix boundary condition
• Scalar Casimir effects in a Lorentz violation scenario induced by the presence of constant vectors
• Casimir energy of $N$ magnetodielectric $\delta$-function plates
• Riemann zeta zeros and zero-point energy
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• Testing extra dimensions with boundaries using Newton's law modifications
• Repulsive Casimir force from a Majorana zero-mode
• Casimir energy for a Regular Polygon with Dirichlet Boundaries
• The Casimir effect for parallel plates at finite temperature in the presence of one fractal extra compactified dimension
• Massive fermion between two parallel chiral plates
• Thermal Casimir effect for a Dirac field on flat space with a nontrivial circular boundary condition
• Spherical Casimir effect for a massive scalar field on the three dimensional ball
• Thermal Casimir effect in $\kappa$-Minkowski space-time