Casimir interactions from infinite range and dilation symmetry

• URL: http://arxiv.org/abs/2201.00581v1
• Date: Mon, 3 Jan 2022 10:55:40 GMT
• Title: Casimir interactions from infinite range and dilation symmetry
• Authors: Venkat Abhignan, R. Sankaranarayanan
• Abstract summary: The similarities to characteristics of an attractive Casimir force is deduced only at infinite range of configuration. Its relevance to self-similarity in the statistical field is shown at infinite range of fluctuations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The Casimir interaction energy for a class of discrete self-similar configuration of parallel plates is evaluated using existing methods. The similarities to characteristics of an attractive Casimir force is deduced only at infinite range of configuration. Further, the emergence of Casimir-like energy is qualitatively described for a Gaussian model of Landau-Ginzburg scalar field. Its relevance to self-similarity in the statistical field is shown at infinite range of fluctuations.

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