2018/06/05 by Maryam Miralaei, Miralaei, Maryam, Reza Moazzemi +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mechanical and Optical Resonators #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph) #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1806.01618
13 pages, 3 figures, in persian
arxiv created 2018/06/05 · openalex publication_date 2018/06/05 · arxiv updated 2018/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper the Lifshitz formula for the Casimir energy between two dielectrics in zero temperature is derived using box renormalization. Although there are several derivations for the force in this case in the literature, including Lifshitz's own proof, so far there has been no unambiguous and rigorous derivation for energy that we are aware of. Since the energy becomes important in some cases, e.g. calculation of entropy or heat capacity, using the correct and precise definition of the Casimir energy, for the first time, we remove all of the infinities systematically without any ambiguity. This proof also shows the strength and accuracy of the box renormalization scheme.