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arXiv 1807.08616hep-th
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宇宙弦引起的电磁真空密度

Electromagnetic vacuum densities induced by a cosmic string

A. A. Saharian, V. F. Manukyan, N. A. Saharyan

摘要:

研究了(D+1)维时空中广义宇宙弦对电磁真空局域特性的影响。两种特殊情况下被认为是平坦的和局部德西特背景几何形状。明确地分离了平方电场和磁场在真空期望值(VEVs)中的拓扑贡献。根据空间维度的数量和宇宙弦引起的平面角亏损,这些贡献可以是负的或正的。在扁平体的情况下,能量动量张量的VEV的评估以及。对于局域德西特体,背景引力场的影响实质上改变了离弦的距离大于时空曲率半径的真空密度的行为。

英文摘要:

We investigate the influence of a generalized cosmic string in (D+1) -dimensional spacetime on the local characteristics of the electromagnetic vacuum. Two special cases are considered with flat and locally de Sitter background geometries. The topological contributions in the vacuum expectation values (VEVs) of the squared electric and magnetic fields are explicitly separated. Depending on the number of spatial dimensions and on the planar angle deficit induced by the cosmic string, these contributions can be either negative or positive. In the case of the flat bulk, the VEV of the energy-momentum tensor is evaluated as well. For the locally de Sitter bulk, the influence of the background gravitational field essentially changes the behavior of the vacuum densities at distances from the string larger than the curvature radius of the spacetime.

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