Comments on scale and conformal invariance
Comments on scale and conformal invariance
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DOI：
10.1007/jhep08(2014)027
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发表时间：
2014-08
影响因子：
5.4
通讯作者：
A. Bzowski;Kostas Skenderis
中科院分区：
文献类型：
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作者：
A. Bzowski;Kostas Skenderis
最近，人们对四维尺度不变的酉量子场论是否真的是共形不变的问题感兴趣。在这篇笔记中，我们完整地分析了这些理论中应力-能量张量的迹的关联函数中可能存在的尺度反常。我们发现，2点、3点和4点函数具有非平凡反常，而连通高点函数是非反常的。我们特别注意了对相关器(包含重合点和分离点的集合上的支撑项)的半局部贡献，并证明了这种贡献可以解释三点和四点函数中的异常。我们讨论了我们的结果对尺度与共形不变性问题的影响。
There has been recent interest in the question of whether four dimensional scale invariant unitary quantum field theories are actually conformally invariant. In this note we present a complete analysis of possible scale anomalies in correlation functions of the trace of the stress-energy tensor in such theories. We find that 2-, 3-and 4-point functions have a non-trivial anomaly while connected higher point functions are non-anomalous. We pay special attention to semi-local contributions to correlators (terms with support on a set containing both coincident and separated points) and show that the anomalies in 3-and 4-point functions can be accounted for by such contributions. We discuss the implications of the our results for the question of scale versus conformal invariance.