Abstract
We want to show extra-dimensions corrections for Fermionic Casimir Effect. Firstly, we determined quantization fermion field in Three dimensional Box. Then we calculated the Casimir energy for massless fermionic field confined inside a three-dimensional rectangular box with one compact extra-dimension. We use the MIT bag model boundary condition for the confinement and M4 × S1 as the background spacetime. We use the direct mode summation method along with the Abel-Plana formula to compute the Casimir energy. We show analytically the extra-dimension corrections to the Fermionic Casimir effect to forward a new method of exploring the existence of the extra dimensions of the universe.
Highlights
Casimir effects, first discovered in 1948 [1], are manifestation of the zero-point energies of the quantum fields and have played an important role on a variety of fields of physics
We show analytically the extra-dimension corrections to the Fermionic Casimir effect to forward a new method of exploring the existence of the extra dimensions of the universe
In this paper we investigate the extra-dimension correction to fermionic Casimir energy in three-dimensional box to explore the existence of extra-dimensions of our universe
Summary
First discovered in 1948 [1], are manifestation of the zero-point energies of the quantum fields and have played an important role on a variety of fields of physics. There has been calculated Casimir energy in three-dimensional box [4]. In this paper we investigate the extra-dimension correction to fermionic Casimir energy in three-dimensional box to explore the existence of extra-dimensions of our universe. There will be influenced from extra dimension on the nature of Casimir energy between the configuration boundary that confine the field in the spacetimes with extra dimensions
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