标题： Loop-inspired 与 Braneworld 宇宙学之间的对应关系 显示英文标题

标题： Correspondence between Loop-inspired and Braneworld Cosmology

摘要： braneworld情景是由弦/M理论所驱动的，并可以通过它们如何修改爱因斯坦引力的传统弗里德曼方程来表征。 然而，量子引力的另一种方法是环量子宇宙学计划。 在半经典极限下，这种情景中的宇宙动力学也可以由一组修改后的弗里德曼方程来描述。 我们证明，在有效场方程的层面上，可以在这两种范式之间建立一种动态对应关系。 这使得两种方法之间的定性相似特征可以进行比较和对比，并提供了一个将braneworld情景视为约束哈密顿系统框架的途径。 作为这种对应关系的具体例子，我们说明了不同代表标度解的宇宙学背景之间的关系。 显示英文摘要

摘要： Braneworld scenarios are motivated by string/M-theory and can be characterized by the way in which they modify the conventional Friedmann equations of Einstein gravity. An alternative approach to quantum gravity, however, is the loop quantum cosmology program. In the semi-classical limit, the cosmic dynamics in this scenario can also be described by a set of modified Friedmann equations. We demonstrate that a dynamical correspondence can be established between these two paradigms at the level of the effective field equations. This allows qualitatively similar features between the two approaches to be compared and contrasted as well as providing a framework for viewing braneworld scenarios in terms of constrained Hamiltonian systems. As concrete examples of this correspondence, we illustrate the relationships between different cosmological backgrounds representing scaling solutions.