周期宇宙膜阵列的低能有效哈密顿量：近晶宇宙
Low Energy Effective Hamiltonian for a Periodic Array of Cosmological Branes : The Smectic Universe
摘要：
我们调查了一个简单的模型的堆栈四维宇宙膜在一个五维的平面散装通过使用一个派生的低能量有效的哈密顿与膜位移和变形的“放射性”的字段。我们还通过类比的3D近晶相液晶和多层两亲膜的理论，通常发现在软凝聚态系统，许多平行膜宇宙的5D情况下。这种系统的旋转不变性意味着在低能有效哈密顿量中没有明确的膜内宇宙学常数项。二次膜间电位引入稳定的强度计算自洽，并自然导致一种新的指数抑制机制的4D膜内宇宙学常数。我们还追求，再次类比的3D情况下，这项工作之间的联系和阿贝尔希格斯过渡，或超导性，在5D。相关的工作在这里提出的解释宇宙学常数的问题也突出，概述和讨论。
英文摘要：
We investigate a simple model of a stack of four dimensional cosmological branes in a five dimensional flat bulk via the use of a derived low-energy effective Hamiltonian for a `radion'-like field associated with brane displacements and deformations. We also extend by analogy the theory of 3D smectic liquid crystals and multi-lamellar amphiphilic membranes, as are typically found in soft condensed matter systems, to the 5D case of many parallel brane universes. The underlying rotational invariance of such a system implies the absence of an explicit intra-brane cosmological constant term in the low-energy effective Hamiltonian. The strength of a quadratic inter-brane potential introduced for stabilisation is calculated self-consistently, and leads naturally to a novel exponential suppression mechanism for the 4D intra-brane cosmological constant. We also pursue, again by analogy to the 3D case, the link between this work and the Abelian Higgs transition, or superconductivity, in 5D. The relevance of the work presented here in explicating the cosmological constant problem is also highlighted, outlined and discussed.
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