2001/11/08 by M. Bordag, H. Falomir, E. M. Santangelo +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.1103/physrevd.65.064032
published as Phys.Rev.D65:064032,2002 · latex, 22 pages, no figures
arxiv created 2001/11/08 · openalex publication_date 2002/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the presence of a boundary interaction, Neumann boundary conditions should be modified to contain a function S of the boundary fields: (\ensuremath∇N+S)\ensuremathφ=0. Information on quantum boundary dynamics is then encoded in the S-dependent part of the effective action. In the present paper we extend the multiple reflection expansion method to the Robin boundary conditions mentioned above, and calculate the heat kernel and the effective action (i) for constant S, (ii) to the order S2 with an arbitrary number of tangential derivatives. Some applications to symmetry breaking effects, tachyon condensation and a brane world are briefly discussed.