2000/07/31 by M. R. Setare, Amir H. Rezaeian, A. H. Rezaeian
Mathematics · Physics and Astronomy · #Anomaly (physics) #Boundary (topology) #Boundary value problem #Casimir effect #Casimir pressure #Cauchy stress tensor #Classical mechanics #Conformal anomaly #Conformal map #Conformal symmetry #Connection (principal bundle) #Cosmology and Gravitation Theories #Coupling (piping) #Exact solutions in general relativity #Geometry #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Scalar field #Stress–energy tensor #TRACE (psycholinguistics) #Tensor (intrinsic definition) #Tensor field #hep-th
paper · pdf · doi:10.1142/s0217732300002449
published as Mod.Phys.Lett. A15 (2000) 2159-2164 · 6pages, Latex. Journal-ref added
openalex publication_date 2000/11/20 · arxiv created 2001/01/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Casimir energy for scalar field of two parallel conductors in two-dimensional domain wall background, with Dirichlet boundary conditions, is calculated by making use of general properties of renormalized stress–tensor. We show that vacuum expectation values of stress–tensor contain two terms which come from the boundary conditions and the gravitational background. In two dimensions the minimal coupling reduces to the conformal coupling and stress–tensor can be obtained by the local and nonlocal contributions of the anomalous trace. This work shows that there exists a subtle and deep connection between Casimir effect and trace anomaly in curved space–time.