Lifshitz formula using box renormalization scheme

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Miralaei Maryam; Moazzemi Reza

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Journal Paper

Paper Information

Journal: JOURNAL OF RESEARCH ON MANY BODY SYSTEMS Year:2018 | Volume:8 | Issue:18 Page(s): 171-181

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Title

Lifshitz formula using box renormalization scheme

Author(s)

Miralaei Maryam | Moazzemi Reza | Issue Writer Certificate

Keywords

Casimir energyQ1

Lifshitz FormulaQ1

Quantum vacuumQ1

Electromagnetic fieldQ1

Box renormalizationQ1

Abstract

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 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.

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APA: Copy

Miralaei, Maryam, & Moazzemi, Reza. (2018). Lifshitz formula using box renormalization scheme. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, 8(18 ), 171-181. SID. https://sid.ir/paper/243834/en

Vancouver: Copy

Miralaei Maryam, Moazzemi Reza. Lifshitz formula using box renormalization scheme. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS[Internet]. 2018;8(18 ):171-181. Available from: https://sid.ir/paper/243834/en

IEEE: Copy

Maryam Miralaei, and Reza Moazzemi, “Lifshitz formula using box renormalization scheme,” JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, vol. 8, no. 18 , pp. 171–181, 2018, [Online]. Available: https://sid.ir/paper/243834/en

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