近日，瑞典乌普萨拉大学的Alexander Söderberg Rousu及其研究团队取得一项新进展。经过不懈努力，他们证实相互作用理论中共形缺陷的融合。相关研究成果已于2023年10月30日在国际知名学术期刊《高能物理杂志》上发表。

该研究团队对两个标量Wilson缺陷的融合进行了深入研究。研究人员通过证明裸一点函数是相同的，证实了融合在量子水平上是可行的。这一结果符合预期，因为路径积分在两个缺陷融合时保持不变。不同之处在于缺陷上局部量的重整化。在融合缺陷时，除了需要考虑缺陷局部场重合极限和体积局部场近缺陷极限的紫外线（UV）发散外，还需要考虑两个缺陷相互接近时的融合极限的UV发散。在相应的重整化群（RG）流的固定点，两个共形缺陷融合成一个与原始标形Wilson缺陷相同的单个共形缺陷。

附：英文原文

Title: Fusion of conformal defects in interacting theories

Author: Rousu, Alexander Sderberg

Issue&Volume: 2023-10-30

Abstract: We study fusion of two scalar Wilson defects. We propose that fusion holds at a quantum level by showing that bare one-point functions are the same. This is an expected result as the path integral is invariant under fusion of the two defects. The difference instead lies in renormalization of local quantities on the defects. Those on the fused defect takes into account UV divergences in the fusion limit when the two defects approach eachother, in addition to UV divergences in the coincident limit of defect-local fields and in the near defect limits of bulk-local fields. At the fixed point of the corresponding RG flow the two conformal defects have fused into a single conformal defect identical to one of the original scalar Wilson defects.

DOI: 10.1007/JHEP10(2023)183

Source: https://link.springer.com/article/10.1007/JHEP10(2023)183