Abstract

The braneworld scenario is studied and the effective action of 3-brane living in 5-dim. Minkowski space is constructed. This action is proved to be invariant under spontaneously broken scale and Weyl symmetries and to encode a model of quadratic gravity generalizing the Starobinsky model. The symmetry breaking generates the Hilbert–Einstein term with the Newton constant \({{G}_{N}} \sim {1 \mathord{\left/ {\vphantom {1 {{{\mu }^{2}}}}} \right. \kern-0em} {{{\mu }^{2}}}}\), where \(\mu \) is a mass scale equal to the mean curvature of the vacuum hyper-worldsheet of 3-brane. This result proposes a brane modification of the mechanism of spontaneously generated gravity.

中文翻译：

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自发产生重力的布雷恩机理

摘要

研究了braneworld情景，并研究了5昏暗的3头蛙的有效行为。构造了Minkowski空间。在自然破碎的尺度和Weyl对称性下，该动作被证明是不变的，并编码了概括Starobinsky模型的二次重力模型。对称破坏产生带有牛顿常数\（{{G} _ {N}} \ sim {1 \ mathord {\ left / {\ vphantom {1 {{{\ mu} ^ {2}}}的希尔伯特-爱因斯坦项}}} \ right。\ kern-0em} {{{\ mu} ^ {2}}}} \），其中\（\ mu \）是等于的真空超世界平均弯曲度的质量标度3头 该结果提出了对自发产生的重力的机理的粗略修改。