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arXiv 2310.04089quant-phhep-th
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尺度受限场与卡西米尔效应

Scale limited fields and the Casimir effect

Šimon Vedl, Daniel J. George, Gavin K. Brennen

AI总结:

本研究从量子场的尺度受限分辨率视角重新计算卡西米尔效应,通过连续小波变换引入并限制尺度自由度以模拟分辨率局限,推导不同边界条件下的卡西米尔力并分析其与小波选择、尺度截断的关联。

摘要:

我们从量子场的尺度受限分辨率视角重新探讨了卡西米尔效应的计算。我们利用连续小波变换引入一个尺度自由度,随后对其加以限制,以模拟观测层面或基础层面的分辨率局限。在此设定下,我们推导了两块无限大平板之间的自由复无质量标量场分别在Dirichlet边界条件和周期性边界条件下的卡西米尔力。我们还针对若干小波示例,深入讨论了该力对小波选择以及尺度截断大小的依赖关系。

英文摘要:

We revisit the calculation of the Casimir effect from the perspective of scale limited resolutions of quantum fields. We use the continuous wavelet transform to introduce a scale degree of freedom and then restrict it to simulate either an observational or fundamental limitation of resolution. The Casimir force is derived in this setting for a free complex massless scalar field between two infinite plates with both Dirichlet and periodic boundary conditions. The dependence of the force on the choice of wavelet and size of scale cutoff is extensively discussed for several examples of wavelets.

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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