2021/02/12 by M. Bordag, Bordag, M.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.48550/arxiv.2102.06425
19 pages
arxiv created 2021/02/12 · openalex publication_date 2021/02/12 · arxiv updated 2021/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate the vacuum (Casimir) energy for a scalar field with ϕ4 self-interaction in (1+1) dimensions non perturbatively, i.e., in all orders of the self-interaction. We consider massive and massless fields in a finite box with Dirichlet boundary conditions and on the whole axis as well. For strong coupling, the vacuum energy is negative indicating some instability.