论文标题
在立方理论中，$β$功能的两个回路术语渐近自由
Asymptotic freedom from the two loop term of the $β$-function in a cubic theory
论文作者
论文摘要
我们在MSBAR方案中将六维立方理论重新归一化，其中标量在双聚体表示中。基础模型最初是在与重力有关的问题中得出的，这是Yang-Mills理论的双重副本。作为一种本身的现场理论，我们发现它具有奇怪的特性，虽然出乎意料的是，对$β$功能没有任何循环贡献两个环系数是负的。因此，它代表了一个示例，其中渐近自由是由$β$功能的两个循环项确定的。我们还检查了多伴侣理论，以查看这是否是这些模型的更普遍属性。
We renormalize a six dimensional cubic theory to four loops in the MSbar scheme where the scalar is in a bi-adjoint representation. The underlying model was originally derived in a problem relating to gravity being a double copy of Yang-Mills theory. As a field theory in its own right we find that it has a curious property in that while unexpectedly there is no one loop contribution to the $β$-function the two loop coefficient is negative. It therefore represents an example where asymptotic freedom is determined by the two loop term of the $β$-function. We also examine a multi-adjoint cubic theory in order to see whether this is a more universal property of these models.
