论文标题
在红外透明度的存在下,Casimir效应
The Casimir effect in the presence of infrared transparency
论文作者
论文摘要
我们在存在红外(IR)透明度的情况下重新审视两个表面所感知的Casimir效应。为了解决这个问题,我们研究了一个自然出现这种现象的模型:具有两个平行3型晶体的DGP模型,每个模型都具有局部曲率项。在该模型中,5维重力的紫外线模式被抑制在麸皮上,而红外模式可以自由穿透它们。首先,我们发现DGP Branes充当重力场的“有效”(动量依赖性)边界条件,因此它们之间的(引力)Casimir力量出现。其次,我们发现,离散模式的IR透明度区域的存在会以两种竞争方式修饰标准的Casimir力 - 适用于理想的Dirichlet边界条件 - i)从离散频谱中排除软模式会导致Casimir力的增加。 ii)边界条件的非理想性质导致硬模式的“泄漏”。 i)和ii)的结果,卡西米尔力变得较弱。由于该结果的推导仅涉及平行表面上量子场的局部动力学项(带有一个编imensionsen),因此预计派生的casimir力有望在任意维度的各种设置中存在。
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.