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arXiv 1107.4589hep-thquant-ph
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硬墙和软墙

Hard and soft walls

Kimball A. Milton

摘要:

在一个持续的努力,以了解量子场被限制的边界面时发生的发散,我们调查本地能量密度(和本地能量动量张量)在附近的墙壁。在本文中,注意力主要局限于一个标量场。如果壁是一个无限的狄利克雷平面,众所周知的体积和表面的分歧,发现,这是由一个时间点分裂参数。如果壁由一个坐标$z$中的线性势表示,则发散被软化。一般壁的情况下,所描述的潜在的形式$z^α$的$z>0$被认为是。如果是$α>2$,则没有表面发散,如果采用保形应力张量,则表面发散在任何情况下都消失。墙内的分歧也被认为是。

英文摘要:

In a continuing effort to understand divergences which occur when quantum fields are confined by bounding surfaces, we investigate local energy densities (and the local energy-momentum tensor) in the vicinity of a wall. In this paper, attention is largely confined to a scalar field. If the wall is an infinite Dirichlet plane, well known volume and surface divergences are found, which are regulated by a temporal point-splitting parameter. If the wall is represented by a linear potential in one coordinate $z$, the divergences are softened. The case of a general wall, described by a potential of the form $z^α$ for $z>0$ is considered. If $α>2$, there are no surface divergences, which in any case vanish if the conformal stress tensor is employed. Divergences within the wall are also considered.

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。

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