arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1511.02444hep-thgr-qc
收藏

Born-Infeld电动力学中的高维全息超导体

Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction

Debabrata Ghorai, Sunandan Gangopadhyay

摘要:

本文在Born-Infeld电动力学的框架下,利用Sturm-Liouville本征值方法,考虑时空的反作用,分析研究了高维全息超导体的性质。在纯Einstein引力和Gauss-Bonnet引力的背景下,利用微扰方法,得到了临界温度与电荷密度的关系。在这两种情况下,较高的逆反应和Born-Infeld参数值导致更难形成冷凝。分析结果与已有的数值结果一致。我们还推导出一个表达式的凝聚算子在$d$ -维产生的临界指数是$1/2$。

英文摘要:

In this paper, we analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born-Infeld electrodynamics taking into account the backreaction of the spacetime using the Sturm-Liouville eigenvalue method. In the background of pure Einstein and Gauss-Bonnet gravity, based on a perturbative approach, we obtain the relation between the critical temperature and the charge density. Higher value of the backreaction and Born-Infeld parameters result in a harder condensation to form in both cases. The analytical results are found to agree with the existing numerical results. We also derive an expression for the condensation operator in $d$-dimensions which yields the critical exponent to be $1/2$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑