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arXiv 1402.6592gr-qchep-thmath-phmath.MP
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两个宇宙弦之间的量子真空相互作用

Quantum vacuum interaction between two cosmic strings revisited

J. M. Munoz-Castaneda, M. Bordag

摘要:

我们重新考虑了两个平行宇宙弦之间的量子真空相互作用能。这个问题在处理两个弦微扰和只处理一个弦微扰的方法中讨论过几次。在这里,我们指出,在[1]中所做的简化假设是合理的,并表明,尽管背景的整体特征,微扰方法提供了一个正确的结果。我们认为,在过去的十年中发展的Casimir效应的散射方法的适用性,宇宙弦,并发现它不适用。我们计算一个字符串上的散射T-算子。最后,我们考虑了带有二维δ函数势的两弦真空相互作用。

英文摘要:

We reconsider the quantum vacuum interaction energy between two straight parallel cosmic strings. This problem was discussed several times in an approach treating both strings perturbatively and treating only one perturbatively. Here we point out that a simplifying assumption made in [1] can be justified and show that, despite the global character of the background, the perturbative approach delivers a correct result. We consider the applicability of the scattering methods, developed in the past decade for the Casimir effect, for the cosmic string and find it not applicable. We calculate the scattering T-operator on one string. Finally, we consider the vacuum interaction of two strings when each carries a two dimensional delta function potential.

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