论文标题
关于4个维度的4源性标量理论的评论
Comments on 4-derivative scalar theory in 4 dimensions
论文作者
论文摘要
我们审查并详细介绍了经典规模不变的可重新分配的4衍生标量理论$ l = ϕ \，\ partial^4 ϕ+ g（\ partial ϕ）^4 $。类似的模型出现，例如，在保形超级强度或膜的晶相描述中。考虑到Minkowski签名中的这一理论，我们建议如何通过假设只有无质量振荡（非成长）模式出现作为外部状态来定义庞氏症不变的散射幅度。在这种转移对称性相互作用理论中，尽管存在$ 1/q^4 $内部传播器，但没有IR差异。我们讨论该理论的非军事是如何在无质量散射幅度的水平上表现出来的。
We review and elaborate on some aspects of the classically scale-invariant renormalizable 4-derivative scalar theory $L= ϕ\, \partial^4 ϕ+ g (\partial ϕ)^4$. Similar models appear, e.g., in the context of conformal supergravity or in the description of the crystalline phase of membranes. Considering this theory in Minkowski signature we suggest how to define Poincare-invariant scattering amplitudes by assuming that only massless oscillating (non-growing) modes appear as external states. In such shift-symmetric interacting theory there are no IR divergences despite the presence of $1/q^4$ internal propagators. We discuss how non-unitarity of this theory manifests itself at the level of the one-loop massless scattering amplitude.
