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首页> 外文期刊>Physical review, D >Electromagnetic field correlators and the Casimir effect for planar boundaries in AdS spacetime with application in braneworlds
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Electromagnetic field correlators and the Casimir effect for planar boundaries in AdS spacetime with application in braneworlds

机译：在Braneworlds应用中ADS时期平面边界的电磁场相关器和Casimir效应

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We evaluate the correlators for the vector potential and for the field strength tensor of the electromagnetic field in the geometry of two parallel planar plates in AdS spacetime. Two types of boundary conditions are considered on the plates. The first one is a generalization of the perfect conductor boundary condition and the second one corresponds to the confining boundary conditions. By using the expressions for the correlators, the vacuum expectation values (VEVs) of the photon condensate and of the electric and magnetic fields squared are investigated. As another important local characteristic of the vacuum state we consider the VEV of the energy-momentum tensor. The Casimir forces acting on the plates are decomposed into the self-action and interaction parts. It is shown that the interaction forces are attractive for both types of boundary conditions. At separations between the plates larger than the curvature radius of the background geometry they decay exponentially as functions of the proper distance. The self-action force per unit surface of a single plate does not depend on its location and depending on the boundary condition and on the number of spatial dimensions can be either attractive or repulsive with respect to the AdS boundary. By using the generalized zeta function technique we also evaluate the total Casimir energy. Applications are given in Z 2 -symmetric braneworld models of the Randall-Sundrum type for vector fields with even and odd parities.
机译：我们评估矢量电位的相关器和用于Spacetime中的两个平行平板的几何形状中电磁场的励磁场强度张量。在板上考虑了两种类型的边界条件。第一个是完美导体边界条件的概括，第二个是对应于限制边界条件。通过使用相关器的表达式，研究了光子凝结物和电场的真空预期值（VEV）被调整平方。作为真空状态的另一个重要局部特征，我们认为能量动量张量的VEV。作用在板上的卡西米尔力分解成自动作用和相互作用部件。结果表明，相互作用力对两种类型的边界条件具有吸引力。在板之间的分离，比背景几何的曲率半径大，它们随着适当距离的函数指数衰减。单个板的每单位表面的自动动作力不依赖于其位置，并且根据边界条件，并且在空间尺寸的数量上，相对于广告边界，空间尺寸可以吸引或排斥。通过使用广义Zeta功能技术，我们还评估了总卡西米尔能量。应用程序以甚至和奇数的级别的randall-undrum类型的z 2 -symmetric braneworld模型给出。

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