Massive 3+1 Aharonov-Bohm fermions in an MIT cylinder
Marcelo De Francia, Klaus Kirsten
TL;DR
This paper investigates how a background flux string influences the vacuum energy of massive Dirac fermions confined in a finite region, providing new insights into Casimir energy calculations with different boundary conditions.
Contribution
It introduces a detailed analysis of the Casimir energy for massive fermions in the presence of a flux string, considering two self-adjoint extensions of the Hamiltonian.
Findings
Unambiguous Casimir energy results for massive fermions in whole space.
Comparison of different boundary conditions on vacuum energy.
Impact of flux string on fermionic vacuum energy.
Abstract
We study the effect of a background flux string on the vacuum energy of massive Dirac fermions in 3+1 dimensions confined to a finite spatial region through MIT boundary conditions. We treat two admissible self-adjoint extensions of the Hamiltonian. The external sector is also studied and unambiguous results for the Casimir energy of massive fermions in the whole space are obtained.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.