论文标题
关于$ 4D $高斯 - 邦网理论的总动作的注释
A note on the total action of $4D$ Gauss-Bonnet theory
论文作者
论文摘要
最近，一种新型的四维高斯理论被认为是原始的$ d $维理论的限制案例。该理论是在场方程级别提出的。在这里，我们在作用层面分析了这一理论。我们发现，壳动作和表面术语分为部分，其中之一不像$（D-4）$那样扩展。因此，限制$ d \ rightarrow4 $过程，在四个维度的壳动作和表面术语中提供了非物理差异。我们进一步强调了与该理论中反对者计算有关的各种问题。
Recently, a novel four-dimensional Gauss-Bonnet theory has been suggested as a limiting case of the original $D$-dimensional theory with singular Gauss-Bonnet coupling constant $α\rightarrowα/(D-4)$. The theory is proposed at the level of field equations. Here we analyse this theory at the level of action. We find that the on-shell action and surface terms split into parts, one of which does not scale like $(D-4)$. The limiting $D\rightarrow4$ procedure, therefore, gives unphysical divergences in the on-shell action and surface terms in four dimensions. We further highlight various issues related to the computation of counterterms in this theory.
