A non-local action for the trace anomaly
A non-local action for the trace anomaly
复制标题
针对跟踪异常的非本地操作
DOI：
10.1016/0370-2693(84)90983-3
复制
发表时间：
1984
影响因子：
4.4
通讯作者：
R. J. Riegert
中科院分区：
文献类型：
--
作者：
R. J. Riegert
我们研究了在弯曲的四维背景中由迹线异常决定的量子有效作用量的那一部分。构造了一个在平坦空间周围可扩张的协变非局部作用量，使得它的度量泛函导数的迹具有反常的一般形式（不含R2项）。这是通过引入一个新的四阶共形协变标量算子来实现的，该算子类似于二阶算子2+ 16R。非定域作用可以被看作是由一个局部作用引起的，作为一个辅助标量场积分的结果。我们指出，没有有效的行动，本地或非本地，可以引起R2跟踪。这表明，在任何关于引力和物质的现实量子理论中，R2的紫外发散必须被有效作用量所抵消。
We investigate that portion of the quantum effective action in a curved four-dimensional background determined by the trace anomaly. A covariant, nonlocal action expandable around flat space isconstructed such that the trace of its metric functional derivative has the general form of the anomaly (without an R2term). This is achieved via the introduction of a new fourth-order, conformally covariant scalar operator analogous to the second-order operator ▿2+ 1 6 R . The non-local action can be viewed as arising from a local action as the result of integrating out an auxiliary scalar field. We point out that no effective action, local or non-local, can give rise to an R2trace. This suggests that R2ultraviolet divergences must cancel in any realistic quantum theory of gravitation and matter derivable from an effective action.