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An algebraic approach to multiple defects on the line and application to the Casimir force

2007/05/09 by M. Mintchev, M Mintchev, E. Ragoucy +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #cond-mat.other #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/1751-8113/40/31/025

published as J.Phys.A40:9515,2007 · 24 pages, 10 figures

arxiv created 2007/05/09 · openalex publication_date 2007/07/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

An algebraic framework for quantization in presence of arbitrary number of point-like defects on the line is developed. We consider a scalar field which interacts with the defects and freely propagates away of them. As an application we compute the Casimir force both at zero and finite temperature. We derive also the charge density in the Gibbs state of a complex scalar field with defects. The example of two delta-defects is treated in detail.

Citations