2012/12/02 by M. Bordag, Bordag, M.
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph) #cond-mat.other #quant-ph
paper · pdf · doi:10.48550/arxiv.1212.0213
Final version, to appear in 'Advances in Mathematical Physics'
openalex publication_date 2012/12/02 · arxiv created 2014/07/12 · arxiv updated 2014/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The low temperature expansion of the free energy in a Casimir effect setup is considered in detail. The starting point is the Lifshitz formula in Matsubara representation and the basic method is its reformulation using the Abel-Plana formula making full use of the analytic properties. This provides a unified description of specific models. We re-derive the known results and, in a number of cases, we are able to go beyond. We also discuss the cases with dissipation. It is an aim of the paper to give a coherent exposition of the topic. The paper includes the derivations and should provide a self contained representation.