Ultraviolet Fixed Points in Conformal Gravity and General Quadratic Theories
Ultraviolet Fixed Points in Conformal Gravity and General Quadratic Theories
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共形引力和一般二次理论中的紫外不动点
DOI：
10.1088/0264-9381/33/3/035001
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Nobuyoshi Ohta and Roberto Percacci
中科院分区：
文献类型：
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作者：
Takeshi Chiba;Shinji Tsujikawa;Antonio De Felice;Nobuyoshi Ohta and Roberto Percacci
本文研究了四维共形引力场的β函数，分别采用了两种不同的度规涨落参数化：线性分裂和指数参数化。我们发现，在施加无痕条件后，β函数在四维中是相同的，但对维数的依赖性是相当不同的。这表明了这些结果的普遍性。我们还研究了一般二次理论中的β函数，并将爱因斯坦项和宇宙项用于指数参数化，发现它导致了与线性分裂不同的维数耦合的β函数的结果，尽管存在非平凡不动点的事实保持不变，并且不动点也保持不变。
We study the beta functions for four-dimensional conformal gravity using two different parametrizations of metric fluctuation, linear split and exponential parametrization. We find that after imposing the traceless conditions, the beta functions are the same in four dimensions though the dependence on the dimensions are quite different. This indicates the universality of these results. We also examine the beta functions in general quadratic theory with the Einstein and cosmological terms for exponential parametrization, and find that it leads to results for beta functions of dimensionful couplings different from linear split, though the fact that there exists a nontrivial fixed point remains the same and the fixed points also remain the same.