Algebraic approach to multiple defects on the line and application to Casimir force
High Energy Physics - Theory
2008-11-26 v1 Other Condensed Matter
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0705.1322,
title = {Algebraic approach to multiple defects on the line and application to Casimir force},
author = {M. Mintchev and E. Ragoucy},
journal= {arXiv preprint arXiv:0705.1322},
year = {2008}
}
Comments
24 pages, 10 figures