经典边缘算子触发的全息RG流
Holographic RG flow triggered by a classically marginal operator
摘要：
研究了经典边缘算子触发的全息重整化群流。当一个边缘算子使一个共形场论变形时，它不会在经典水平上产生一个非平凡的重整化群流。然而，在量子水平上，量子校正将边际算子修改为真正边际的、边际相关的和边际不相关的算子之一，并且可以生成非平凡的RG流。我们研究了具有量子修正的边缘算子触发的RG流的全息描述。我们研究变形理论的物理量、耦合常数和真空期望值如何依赖于RG尺度。我们进一步讨论了胶子凝聚引起的迹反常的全息描述。
英文摘要：
We study the holographic renormalization group (RG) flow triggered by a classically marginal operator. When a marginal operator deforms a conformal field theory, it does not yield a nontrivial renormalization group flow at the classical level. At the quantum level, however, quantum corrections modify a marginal operator into one of the truly marginal, marginally relevant, and marginally irrelevant operators and can generate a nontrivial RG flow. We investigate the holographic description of a RG flow triggered by a marginal operator with quantum corrections. We look into how the physical quantities of a deformed theory, a coupling constant and the vacuum expectation value, rely on the RG scale. We further discuss the holographic description of the trace anomaly caused by the gluon condensation.
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