论文标题
关于一环校正与天体OPE的关联性
On the associativity of one-loop corrections to the celestial OPE
论文作者
论文摘要
最近，人们对是否可以将QCD共线奇点视为二维CFT的OPE引起了人们的兴趣。我们分析了这个问题的一个版本，以实现纯仪表理论的自二限制（结合了这两个螺旋的状态）。我们表明，已知的单环线性唱片并未形成缔合性手性代数。关联的失败可以追溯到扭曲空间上的新型尺度异常。我们发现，如果我们引入了异常的轴，可以为某些量规组恢复关联，从而通过绿色 - 雪Warz机制取消扭曲器空间异常。或者，可以为一些精心选择的物质的仪表组恢复关联性。
There has been recent interest in the question of whether QCD collinear singularities can be viewed as the OPE of a two-dimensional CFT. We analyze a version of this question for the self-dual limit of pure gauge theory (incorporating states of both helicities). We show that the known one-loop collinear singulaties do not form an associative chiral algebra. The failure of associativity can be traced to a novel gauge anomaly on twistor space. We find that associativity can be restored for certain gauge groups if we introduce an unusual axion, which cancels the twistor space anomaly by a Green-Schwarz mechanism. Alternatively, associativity can be restored for some gauge groups with carefully chosen matter.
