2013/08/14 by V. K. Oikonomou, Oikonomou, V. K.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum, superfluid, helium dynamics #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1309.2964
arxiv created 2013/08/14 · openalex publication_date 2013/08/14 · arxiv updated 2013/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the Casimir force for a fermionic quantum field in a piston geometry with three parallel plates. The fermion satisfies bag boundary conditions on the plates and the spacetime is assumed to have compact extra dimensions. The calculation is performed in the cases where the extra space has toroidal and spherical topology. We are mainly interested in the case in which the fermion is coupled non-trivially to an extra dimensional defect, with a torus extra dimensional topological background. We found that in certain limits, the Casimir force corresponding to the defect-fermion system and to the sphere, has opposite sign, in reference to those corresponding to the toroidal extra dimensional spaces.