Quantum Equivalence of $f(R)$ Gravity and Scalar-tensor Theories in the Jordan and Einstein Frames
Quantum Equivalence of $f(R)$ Gravity and Scalar-tensor Theories in the Jordan and Einstein Frames
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乔丹框架和爱因斯坦框架中 $f(R)$ 引力和标量张量理论的量子等价
DOI：
10.1093/ptep/pty008
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发表时间：
2018
影响因子：
3.5
通讯作者：
Nobuyoshi Ohta
中科院分区：
文献类型：
--
作者：
Sho Higuchi;Hikaru Kawai;黒木経秀;Nobuyoshi Ohta
引力理论和标量张量理论在经典水平上是等价的。我们研究，如果这种等价性是有效的量子水平。在约当和爱因斯坦框架中，标量-张量理论有两种描述。结果表明，这三种理论形式对壳的作用量或作用量是相同的，因而它们在任意维壳的量子单圈水平上是等价的.我们还计算了爱因斯坦空间上的单圈发散引力。
Thegravity and scalar–tensor theory are known to be equivalent at the classical level. We study if this equivalence is valid at the quantum level. There are two descriptions of the scalar–tensor theory in the Jordan and Einstein frames. It is shown that these three formulations of the theories give the same determinant or effective action on shell, and thus they are equivalent at the quantum one-loop level on shell in arbitrary dimensions. We also compute the one-loop divergence ingravity on an Einstein space.