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arXiv 0910.4528hep-phhep-th
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膜定域势下的对角Kaluza-Klein展开

Diagonal Kaluza-Klein expansion under brane localized potential

Naoyuki Haba, Kin-ya Oda, Ryo Takahashi

摘要:

我们澄清和研究了我们以前的观察,即在有边界或轨道折叠的紧化下,在存在通过重整化群运行必然产生的边界定域势的情况下,体标量场的真空期望值可以具有与其量子涨落的最低Kaluza-Klein模不同的额外维波函数轮廓.具体来说,我们分析了在轨道$S^1/Z_2$上紧化的普适额外维模型,在轨道不动点处具有膜定域的Higgs势。通过将膜定域势作为一个小扰动处理,我们计算了$R_ξ$类规范中希格斯玻色子和规范玻色子的Kaluza-Klein展开.我们还检查了$ρ$参数不被膜定域势改变。

英文摘要:

We clarify and study our previous observation that, under a compactification with boundaries or orbifolding, vacuum expectation value of a bulk scalar field can have different extra-dimensional wave-function profile from that of the lowest Kaluza-Klein mode of its quantum fluctuation, under presence of boundary-localized potentials which would be necessarily generated through renormalization group running. For concreteness, we analyze the Universal Extra Dimension model compactified on orbifold $S^1/Z_2$, with brane-localized Higgs potentials at the orbifold fixed points. We compute the Kaluza-Klein expansion of the Higgs and gauge bosons in an $R_ξ$-like gauge by treating the brane-localized potential as a small perturbation. We also check that the $ρ$ parameter is not altered by the brane localized potential.

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