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Novel features of the energy-momentum tensor of a Casimir apparatus in a weak gravitational field

机译:卡西米尔装置在弱引力场中能量动量张量的新特征

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摘要

The influence of the gravity acceleration on the regularized energy-momentum tensor of the quantized electromagnetic field between two plane parallel conducting plates is derived. A perturbative expansion, to first order in the constant acceleration parameter, of the Green functions involved and of the energy-momentum tensor is derived by means of the covariant geodesic point-splitting procedure. The energy-momentum tensor is covariantly conserved and satisfies the expected relation between gauge-breaking and ghost parts. Interestingly, a non-vanishing trace anomaly is obtained to first order in the constant acceleration.
机译:推导了重力加速度对两个平面平行导电板之间量化电磁场的正则化能量动量张量的影响。借助于协变测地线点分解程序,得出所涉及的格林函数和能量动量张量的摄动扩展,以恒定的加速度参数为一阶。能量动量张量是协变守恒的,并且满足破轨和重影部分之间的预期关系。有趣的是,以恒定的加速度获得了一次消失的轨迹异常。

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