标题： 模量稳定性的新视角 显示英文标题

标题： A new perspective on modulus stabilization

摘要： 在具有紧凑额外维的膜世界情景中，如果没有适当的稳定机制，模场通常保持未确定状态。 一种常见的方法是引入一个体标量场，该场为模场生成一个具有稳定最小值的有效势。 在本工作中，我们探讨了此类稳定机制的一些新方面。 我们研究了体标量分布如何影响稳定过程。 遵循Chacko等人[1]的方法，我们使用奇异摄动理论的方法分析了几种代表性情况，并确定了体势结构与模场稳定出现之间的合理关系。 我们强调了这种对应关系特别清晰的特定势类，并概述了任何体势必须满足的一般条件以支持稳定。 在此背景下，我们还考察了几何一致性条件——特别是“膜世界求和规则”——与模场稳定值之间的潜在联系。 在某些发生稳定的情景中，我们发现这些求和规则可以对模场提供额外的约束，为其确定提供互补的视角。 综上所述，这些结果为支配高维扭曲几何中模场稳定性的机制提供了更广泛的视角。 显示英文摘要

摘要： In braneworld scenarios with compact extra dimensions, the modulus field typically remains undetermined without an appropriate stabilization mechanism. A common approach introduces a bulk scalar field that generates an effective potential for the modulus with a stable minimum. In this work, we explore some novel aspects of such stabilization mechanisms. We study how the bulk scalar profile influences the stabilization procedure. Following the approach of Chacko et al. [1], we analyze several representative cases using methods of singular perturbation theory, and identify a consistent relationship between the structure of the bulk potential and the emergence of a stabilized modulus. We highlight specific classes of potentials where this correspondence is particularly transparent, and outline the general conditions that any bulk potential must satisfy to support stabilization. In this context, we also examine a potential connection between geometric consistency conditions - specifically, the "brane world sum rules" - and the stabilized value of the modulus. In some scenarios where stabilization occurs, we find that these sum rules can offer additional constraints on the modulus, providing a complementary perspective on its determination. Taken together, these results offer a broader perspective on the mechanisms that govern modulus stabilization in higher-dimensional warped geometries.