Algebraic approach to multiple defects on the line and application to Casimir force

Details Algebraic approach to multiple defects on the line and application to Casimir force Algebraic approach to multiple defects on the line and application to Casimir force

2007-05-09

arxiv.org/abs/0705.1322v1

J.Phys.A40:9515,2007

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 10 figures

Scientific paper

10.1088/1751-8113/40/31/025

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.

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