2020/10/31 by Jonathan Wernersson, Jochen Zahn · 5 citations
Chemistry · Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Chemistry #Condensed matter physics #Dirichlet boundary condition #Instability #Mathematical analysis #Mathematics #Neumann boundary condition #Physics #Polarization (electrochemistry) #Quantum Electrodynamics and Casimir Effect #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Robin boundary condition #Scalar field #Superconductivity in MgB2 and Alloys #Vacuum polarization #hep-th
paper · pdf · doi:10.1103/physrevd.103.016012
published in Physical review. D/Physical review. D. 103(1) (American Physical Society) · v2: Some clarifications & new section on nonperturbative results. Final version
openalex publication_date 2021/01/20 · arxiv created 2021/01/21 · arxiv updated 2021/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the effect of boundary conditions on vacuum polarization for charged scalar fields in two space-time dimensions. We find that both Dirichlet and Neumann boundary conditions lead to screening. In the Dirichlet case, the vacuum polarization charge density vanishes at the boundary, whereas it attains its maximum there for Neumann boundary conditions. At a critical field strength, the vacuum polarization diverges for Neumann boundary conditions, an effect due to the instability of the lowest energy mode in the presence of the external field.