Renormalization group flow of Weyl invariant dilaton gravity
Renormalization group flow of Weyl invariant dilaton gravity
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DOI：
10.1088/1367-2630/13/12/125013
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发表时间：
2011-10
影响因子：
3.3
通讯作者：
R. Percacci
中科院分区：
文献类型：
--
作者：
R. Percacci
任何理论都可以通过引入一个外尔子而成为外尔不变量。这里展示了如何构造保持这种性质的引力重整化群方程。显式计算仅在最简单的近似下给出，即对于与动力学度规共形耦合的π介子的单圈β函数，但结果具有更广泛的有效性。这种形式主义可以用来定义一个具有位置依赖截止的理论的意义：它等价于一个具有常数截止但共形相关度规的理论。
Any theory can be made Weyl invariant by introducing a dilaton. It is shown here how to construct renormalization group equations for gravity that maintain this property. Explicit calculations are given only in the simplest approximation, namely for the one-loop beta functions of a dilaton conformally coupled to a dynamical metric, but the results have wider validity. This formalism could be used to define the meaning of a theory with a position-dependent cutoff: it is equivalent to a theory with a constant cutoff but a conformally related metric.