2003/11/11 by Markus Quandt, Quandt, Markus
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Relativity and Gravitational Theory #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0311094
Talk given at 6th Workshop on "Quantum Field Theory under the Influence of External Conditions" (QFEXT03), Norman, Oklahoma, 15-19 Sep. 2003. (8 pages LaTeX, 3 figures, uses Rinton-P9x6.cls)
arxiv created 2003/11/11 · openalex publication_date 2003/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new approach to generalised Casimir type of problems is derived within the context of renormalisable quantum field theory (QFT). We study the simplest case of a massive fluctuating boson field coupled to a time-independent background potential. We use analytic properties of scattering data to compute the relevant Green's functions at imaginary momenta, which in turn yields a simple and efficient method to compute (one-loop) vacuum energy densities in QFT. Renormalisation is easily performed in the perturbative sector by identifying low order Feynman diagrams with the first few Born approximation to the Green's function. Numerical examples illustrate the efficiency of our approach.