RG-flow, gravity and the cosmological constant
RG-flow, gravity and the cosmological constant
复制标题
RG-流、重力和宇宙常数
DOI：
--
复制
发表时间：
1999
期刊：
影响因子：
--
通讯作者：
H. Verlinde
中科院分区：
文献类型：
--
作者：
E. Verlinde;H. Verlinde
我们研究了低能量的有效作用的重力，诱导整合出规范和物质领域，在一般类的Randall-Sundrum型弦紧化的情况下，指数翘曲因子。我们的方法结合降维与全息映射之间的5-D超引力和4-D大N场理论。利用经典的超引力近似，我们推导出一个有效作用量S的流动方程，它控制着尺度变换下的行为。我们发现，作为一个结果，每个极值的S自动描述了一个完整的RG轨迹的经典解决方案。这意味着，如果在高能理论中取消宇宙学常数，经典平坦空间背景在RG流下自然保持稳定。负责这种稳定性的机制是，由可能的相变产生的非零真空能量，被扭曲因子的收缩率的动态调整所吸收。
We study the low energy effective action S of gravity, induced by integrating out gauge and matter fields, in a general class of Randall-Sundrum type string compactification scenarios with exponential warp factors. Our method combines dimensional reduction with the holographic map between 5-d supergravity and 4-d large-N field theory. Using the classical supergravity approximation, we derive a flow equation of the effective action S that controls its behavior under scale transformations. We find that as a result each extremum of S automatically describes a complete RG trajectory of classical solutions. This implies that, provided the cosmological constant is canceled in the high energy theory, classical flat space backgrounds naturally remain stable under the RG-flow. The mechanism responsible for this stability is that the non-zero vacuum energy generated by possible phase transitions, is absorbed by a dynamical adjustment of the contraction rate of the warp factor.