论文标题
较高衍生引力理论中的紫外线有限或渐近安全性
Ultraviolet Finiteness or Asymptotic Safety in Higher Derivative Gravitational Theories
论文作者
论文摘要
我们介绍并讨论紫外线有限和渐近安全的众所周知的条件。基于六源性量子重力理论的示例，比较了量子场理论中完全不存在紫外线差异的要求以及在紫外线状态中的非平整固定点的存在。在此模型中，第一次有可能在不添加物质或特殊对称性的情况下完全具有完全紫外线的量子理论，而是通过在曲率中包含其他术语立方体。我们对两种方法之间的相似性和明显的差异发表评论，但我们表明它们彼此兼容。最后，我们激发了这样一个说法，即实际上渐近安全需要UV-FINITE模型，以提供威尔逊式有效动作的紫外线限制的明确形式，这些行动描述了固定点处的特殊情况。
We present and discuss well known conditions for ultraviolet finiteness and asymptotic safety. The requirements for complete absence of ultraviolet divergences in quantum field theories and existence of a non-trivial fixed point for renormalization group flow in the ultraviolet regime are compared based on the example of a six-derivative quantum gravitational theory in $d=4$ spacetime dimensions. In this model, it is possible for the first time to have fully UV-finite quantum theory without adding matter or special symmetry, but by inclusion of additional terms cubic in curvatures. We comment on similarities and some apparent differences between the two approaches, but we show that they are both compatible to each other. Finally, we motivate the claim that actually asymptotic safety needs UV-finite models for providing explicit form of the ultraviolet limit of Wilsonian effective actions describing special situations at fixed points.
