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arXiv 1204.4603hep-thgr-qc
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有限核整体微扰时空中的诱导自相互作用

Induced self-interactions in the spacetime of a global monopole with finite core

E. R. Bezerra de Mello

摘要:

本文分析了在具有球对称内部结构的球对称时空中静止的带电荷和标量电荷的点粒子的诱导自相互作用,为了发展这种分析,我们计算了与所考虑的物理系统有关的三维格林函数。正如我们将看到的那样,对于在核外的带电粒子,相应的格林函数由两种不同的贡献组成,第一种贡献是由被认为是点状缺陷的整体粒子的非平凡拓扑引起的,第二种贡献是由归因于它的非零内部结构引起的修正。对于这两种情况,自能呈现出类似的结构,也有两个不同的贡献。对于一个特殊的模型,即花盆,我们可以看到,带电荷的粒子总是受到一个排斥的自作用力,而另一个标量带电粒子则表现出特殊的行为。根据曲率耦合,自作用力相对于核的边界可以是排斥的或吸引的。此外,对于与三维空间截面共形耦合的无质量粒子,点状整体扰动的贡献为零,只有核诱导部分的贡献.

英文摘要:

In this paper we analyze induced self-interactions for point-like particles with electric and scalar charges placed at rest in the spacetime of a global monopole admitting a general spherically symmetric inner structure to it. In order to develop this analysis we calculate the three-dimensional Green function associated with the physical system under consideration. As we shall see for the charged particle outside the monopole core, the corresponding Green functions are composed by two distinct contributions, the firsts ones are induced by the non-trivial topology of the global monopole considered as a point-like defect and the seconds are corrections induced by the non-vanishing inner structure attributed to it. For both cases, the self-energies present a similar structure, having also two distinct contributions as well. For a specific model considered for region inside the monopole, named flower-pot, we shall see that the particle with electric charge will be always subject to a repulsive self-force with respect to the monopole core's boundary, on the other scalar charged particle exhibits peculiar behavior. Depending on the curvature coupling the self-force can be repulsive or attractive with respect to the core's boundary. Moreover, the contribution due to the point-like global monopole vanishes for massless particle conformally coupled with three dimensional space section of the manifold, and the only contribution comes from the core-induced part.

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