2020/09/04 by A. A. Saharian, A. S. Kotanjyan, H. G. Sargsyan · 14 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Casimir effect #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Electromagnetic field #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Spacetime #Tensor (intrinsic definition) #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.102.105014
published in Physical review. D/Physical review. D. 102(10) (American Physical Society) · 33 pages, 5 figures
arxiv created 2020/09/04 · openalex publication_date 2020/11/11 · arxiv updated 2020/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We evaluate the correlators for the vector potential and for the field strength tensor of the electromagnetic field in the geometry of two parallel planar plates in AdS spacetime. Two types of boundary conditions are considered on the plates. The first one is a generalization of the perfect conductor boundary condition and the second one corresponds to the confining boundary conditions. By using the expressions for the correlators, the vacuum expectation values (VEVs) of the photon condensate and of the electric and magnetic fields squared are investigated. As another important local characteristic of the vacuum state we consider the VEV of the energy-momentum tensor. The Casimir forces acting on the plates are decomposed into the self-action and interaction parts. It is shown that the interaction forces are attractive for both types of boundary conditions. At separations between the plates larger than the curvature radius of the background geometry they decay exponentially as functions of the proper distance. The self-action force per unit surface of a single plate does not depend on its location and depending on the boundary condition and on the number of spatial dimensions can be either attractive or repulsive with respect to the AdS boundary. By using the generalized zeta function technique we also evaluate the total Casimir energy. Applications are given in Z2-symmetric braneworld models of the Randall-Sundrum type for vector fields with even and odd parities.