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arXiv 0704.3623gr-qcastro-phhep-phhep-th
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一个6D翘曲通量紧致化模型中的Casimir效应

Casimir effect in a 6D warped flux compactification model

Masato Minamitsuji

摘要:

讨论了6D弯折通量紧致化模型中无质量、最小耦合标量场的Casimir效应及其对唯象学和宇宙学中长期困扰的等级问题和宇宙学常数问题的意义.由于背景理论的尺度不变性,4D有效理论包含体积模量。为了稳定的模量,我们考虑的有效势的卡西米尔效应的单圈修正。体积模量的单圈有效势具有与Coleman-Weinberg势非常相似的形式。我们估计系数出现在有效的潜力,采用zeta函数正则化和热核分析。体积模量是稳定的较小程度的翘曲,低于临界值,这取决于赤字角度的参考膜。在稳定了模量之后,就有可能获得基本能量标度和一个微小的有效宇宙学常数(尽管它的符号是负的)之间的质量比的观测值。翘曲的程度应该调整到接近临界值,而不是像原来的微调那样严重。

英文摘要:

We discuss Casimir effect of a massless, minimally coupled scalar field in a 6D warped flux compactification model and its implications for the hierarchy and cosmological constant problems, which are longstanding puzzles in phenomenology and cosmology. Due to the scale invariance of the background theory, the 4D effective theory contains a volume modulus. To stabilize the modulus, we consider one-loop corrections to the effective potential by the Casimir effect. The one-loop effective potential for the volume modulus has a form which is very similar to Coleman-Weinberg potential. We evaluate coefficients appearing in the effective potential by employing zeta function regularization and heat kernel analysis. The volume modulus is stabilized for smaller degrees of warping, below a critical value, which depends on deficit angle of the reference brane. After stabilizing the modulus, it is possible to obtain observed values of the mass ratio between the fundamental energy scales and a tiny effective cosmological constant (though its sign is negative). The degree of warping should be tuned to be close to the critical value, not as severely as the original fine-tuning.

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