Action principle for OPE
Action principle for OPE
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OPE的作用原理
DOI：
10.1016/j.nuclphysb.2017.11.013
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
S. Hollands
中科院分区：
文献类型：
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作者：
S. Hollands
我们给出了算子乘积展开(OPE)的“作用原理”，描述了给定的OPE系数在边缘算子或相关算子引起的形变下如何变化。我们的作用原理不涉及特殊调节或重整化，适用于一般的(欧几里得)量子场论。它暗示了OPE系数和耦合常数的重整化群流的自然定义。当应用于保形理论时，作用量原理给出了保形数据的耦合动力学方程组。最后一个结果最近也是由Behan(arxiv：1709.03967)使用不同的论点独立得出的(不考虑张量结构)。我们的成果此前已在2016年9月的“纪念鲁道夫·哈格”会议和2017年5月的“沃尔夫哈特·齐默尔曼纪念研讨会”上宣布和概述。
We formulate an “action principle” for the operator product expansion (OPE) describing how a given OPE coefficient changes under a deformation induced by a marginal or relevant operator. Our action principle involves no ad-hoc regulator or renormalization and applies to general (Euclidean) quantum field theories. It implies a natural definition of the renormalization group flow for the OPE coefficients and of coupling constants. When applied to the case of conformal theories, the action principle gives a system of coupled dynamical equations for the conformal data. The last result has also recently been derived (without considering tensor structures) independently by Behan (arXiv:1709.03967) using a different argument. Our results were previously announced and outlined at the meetings “In memoriam Rudolf Haag” in September 2016 and the “Wolfhart Zimmermann memorial symposium” in May 2017.