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arXiv 1110.2129hep-thastro-ph.COgr-qcquant-ph
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反德西特时空中宇宙弦引起的真空极化

Vacuum polarization induced by a cosmic string in anti-de Sitter spacetime

E. R. Bezerra de Mello, A. A. Saharian

摘要:

本文研究了D维anti-de Sitter(AdS)时空中广义宇宙弦诱导的大质量标量量子场的场平方和能量动量张量的真空期望值.为了发展这种分析,我们评估相应的Wightman函数。正如我们将观察到的,该函数表示为两项之和:第一项对应于纯AdS块中的Wightman函数,第二项由弦的存在引起。第二个贡献是有限的重合极限,并用于提供封闭的表达式的VEVs的字段平方和能量动量张量的存在下引起的字符串的部分。由于在纯AdS时空中真空极化效应的分析已经在文献中发展,在这里我们主要感兴趣的弦诱导效应的调查。我们表明,背景时空的曲率有一个重要的影响VEVs的距离大于曲率半径。特别是,在大的距离,弦引起的VEVs的衰减是幂律的无质量和有质量的字段。弦引起的部分消失的AdS边界上,他们占主导地位的纯AdS部分的点附近的AdS视界。

英文摘要:

In this paper we investigate the vacuum expectation values (VEVs) of the field squared and the energy-momentum tensor associated with a massive scalar quantum field induced by a generalized cosmic string in D-dimensional anti-de Sitter (AdS) spacetime. In order to develop this analysis we evaluate the corresponding Wightman function. As we shall observe, this function is expressed as the sum of two terms: the first one corresponds to the Wightman function in pure AdS bulk and the second one is induced by the presence of the string. The second contribution is finite at coincidence limit and is used to provide closed expressions for the parts in the VEVs of the field squared and the energy-momentum tensor induced by the presence of the string. Because the analysis of vacuum polarizations effects in pure AdS spacetime have been developed in the literature, here we are mainly interested in the investigation of string-induced effects. We show that the curvature of the background spacetime has an essential influence on the VEVs at distances larger than the curvature radius. In particular, at large distances the decay of the string-induced VEVs is power-law for both massless and massive fields. The string-induced parts vanish on the AdS boundary and they dominate the pure AdS part for points near the AdS horizon.

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