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arXiv 0802.0103hep-thastro-phgr-qc
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6D正则化膜世界低能有效理论的曲率修正

Curvature corrections to the low energy effective theory in 6D regularized braneworlds

Tsutomu Kobayashi, Tetsuya Shiromizu, Claudia de Rham

摘要:

我们研究了六维爱因斯坦-麦克斯韦通量紧致化模型中膜上的有效引力理论,将锥形缺陷正则化为余维1的膜。我们采用的梯度膨胀技术在低能量有效。一个最低阶的分析表明,标准的四维爱因斯坦引力是在膜上复制的。我们扩展这项研究,包括二阶校正的有效方程,并表明,校正项是由二次能量动量张量。取正则化膜收缩到极点的薄膜极限,我们发现二阶度规在膜上几何发散,引起膜有效作用量的发散。然而,离开膜,有效作用量是明确定义的。

英文摘要:

We study the effective gravitational theory on a brane in a six-dimensional Einstein-Maxwell model of flux compactification, regularizing a conical defect as a codimension-one brane. We employ the gradient expansion technique valid at low energies. A lowest order analysis showed that standard four-dimensional Einstein gravity is reproduced on the brane. We extend this study to include second order corrections in the effective equations, and show that the correction term is given by a quadratic energy-momentum tensor. Taking the thin-brane limit where the regularized brane shrinks to the pole, we find that the second order metric diverges logarithmically on the brane, giving rise to divergences in the brane effective action. Away from the branes, the effective action is however well-defined.

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。

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