红外透明时的Casimir效应
The Casimir effect in the presence of infrared transparency
摘要：
我们重新审视卡西米尔效应感知的两个表面在红外（IR）的透明度。为了解决这个问题，我们研究了一个模型，在这种现象自然出现：DGP模型与两个平行的3-膜，每个赋予一个本地化的曲率项。在该模型中，5维引力子的UV模在膜上被抑制，而IR模可以自由穿透膜。首先，我们发现DGP膜充当了引力场的“有效”（动量相关）边界条件，因此它们之间的（引力）卡西米尔力出现了。其次，我们发现，存在的离散模式的IR透明区域修改的标准卡西米尔力-推导出理想的狄利克雷边界条件-在两个竞争的方式：i）从离散谱的软模式的排除导致卡西米尔力的增加。ii）边界条件的非理想性质引起硬模式的“泄漏”。由于i）和ii），Casimir力变得更弱。由于这一结果的推导只涉及平行表面上量子场的局部动力学项（余维为1），因此推导出的卡西米尔力预计将存在于任意维度的各种设置中。
英文摘要：
We revisit the Casimir effect perceived by two surfaces in the presence of infrared (IR) transparency. To address this problem, we study a model, where such a phenomenon naturally arises: the DGP model with two parallel 3-branes, each endowed with a localized curvature term. In that model, the UV modes of the 5-dimensional graviton are suppressed on the branes, while the IR modes can penetrate them freely. First, we find that the DGP branes act as "effective" (momentum-dependent) boundary conditions for the gravitational field, so that the (gravitational) Casimir force between them emerges. Second, we discover that the presence of an IR transparency region for the discrete modes modifies the standard Casimir force -- as derived for ideal Dirichlet boundary conditions -- in two competing ways: i) The exclusion of soft modes from the discrete spectrum leads to an increase of the Casimir force. ii) The non-ideal nature of the boundary conditions gives rise to a "leakage" of hard modes. As a result of i) and ii), the Casimir force becomes weaker. Since the derivation of this result involves only the localized kinetic terms of a quantum field on parallel surfaces (with codimension one), the derived Casimir force is expected to be present in a variety of setups in arbitrary dimensions.
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。
