2011/11/30 by E. R. Bezerra de Mello, Fernando Moraes, F. Moraes +1
Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Casimir effect #Cauchy stress tensor #Classical mechanics #Conical surface #Geometry #Magnetic field #Magnetic flux #Mathematical analysis #Mathematics #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #Tensor (intrinsic definition) #cond-mat.mes-hall #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.85.045016
published as Phys. Rev. D 85 (2012) 045016 · 28 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1101.4130, discussion and references added
openalex publication_date 2012/02/10 · arxiv created 2012/02/12 · arxiv updated 2012/02/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The vacuum expectation value (VEV) of the energy-momentum tensor for a massive fermionic field is investigated in a (2+1)-dimensional conical spacetime in the presence of a circular boundary and an infinitely thin magnetic flux located at the cone apex. The MIT bag boundary condition is assumed on the circle. At the cone apex we consider a special case of boundary conditions for irregular modes, when the MIT bag boundary condition is imposed at a finite radius, which is then taken to zero. The presence of the magnetic flux leads to the Aharonov-Bohm-like effect on the VEV of the energy-momentum tensor. For both exterior and interior regions, the VEV is decomposed into boundary-free and boundary-induced parts. Both these parts are even periodic functions of the magnetic flux with the period equal to the flux quantum. The boundary-free part in the radial stress is equal to the energy density. Near the circle, the boundary-induced part in the VEV dominates and for a massless field the vacuum energy density is negative inside the circle and positive in the exterior region. Various special cases are considered.