分段均匀弦的Casimir效应
Casimir Effect for the Piecewise Uniform String
摘要：
计算了分段均匀闭弦横向振动的Casimir能量。在最简单的版本中，弦由I和II两部分组成，它们通常具有不同的张力和质量密度，但始终遵守声速等于光速的条件。该模型由Brevik和Nielsen于1990年首次提出，具有吸引人的形式属性，这意味着它可以通过几种方法轻松正则化，其中最强大的方法是轮廓积分法。我们也考虑弦被分成2N段的情况，它们是交替的I型和II型材料。最后，我们对这类理论与Fulling等人最近提出的量子星图理论的关系作了一些评论。
英文摘要：
The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. In its simplest version the string consists of two parts I and II having in general different tension and mass density, but is always obeying the condition that the velocity of sound is equal to the velocity of light. The model, first introduced by Brevik and Nielsen in 1990, possesses attractive formal properties implying that it becomes easily regularizable by several methods, the most powerful one being the contour integration method. We also consider the case where the string is divided into 2N pieces, of alternating type-I and type-II material. The free energy at finite temperature, as well as the Hagedorn temperature, are found. Finally, we make some remarks on the relationship between this kind of theory and the theory of quantum star graphs, recently considered by Fulling et al.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
