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AdS时空中有宇宙弦存在时带电物质场的真空极化

Vacuum polarization by charged matter fields in AdS spacetime in the presence of a cosmic string

E. R. Bezerra de Mello

arXiv 2609.33942首次发表:更新:

发表机构

Universidade Federal da Paraíba(帕拉伊巴联邦大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文研究AdS时空中宇宙弦携带磁通量时带电玻色子和费米子场的真空极化,计算能量-动量张量VEV,发现其为磁通量的偶函数且周期为量子通量,并给出数值图表展示行为。

AI 中文摘要

本文重新分析了在携带磁通量并沿其核心延伸的理想化宇宙弦存在下,高维反德西特(AdS)时空中与带电物质场相关的真空极化效应。具体而言,我们将分别考虑在该流形上传播的带电玻色子场和费米子场。我们的主要目标是计算与这两种物质场相关的能量-动量张量的真空期望值(VEV),即 $\langle T^\mu_\nu\rangle$。正如我们将看到的,这些VEV是沿弦核心磁通量的偶函数,其周期等于量子通量 $\Phi_0=\frac{2\pi}{e}$。由于所得结果以特殊函数表示,且其清晰行为并不十分明显,我们提供了一些图表,展示它们作为到弦距离的函数在不同模型参数取值下的行为。

英文摘要

In this paper we revisited the analyse the vacuum polarizations effect associated wit charged matter fields in a higher-dimensional anti de-Sitter (AdS) spacetime in the presence of an idealized cosmic string carrying magnetic flux running along its core. Specifically we will consider, separately, charged bosonic and fermionic fields propagating in this manifold. Our main objective is to calculate the vacuum expectation values (VEV) of the energy-momentum tensor, $\langle T^μ_ν\rangle$, associated with both matters fields. As will see, these VEVs are even function of the magnetic flux running along the string's core, with period equal to the quantum flux $Φ_0=\frac{2π}{e}$. Because the results obtained are expressed in terms of special functions, and a clear behavior for them are not very enlightening, we provide some graphs exhibiting their behavior as function of the distance to the string considering different values for the parameters presented in the model considered.

Comments26 pages, 5 figures

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