相互作用理论中保元缺陷的融合

IF 5 1区物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS

Journal of High Energy Physics Pub Date : 2023-10-30 DOI:10.1007/JHEP10(2023)183

Alexander Söderberg Rousu

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引用次数: 0

摘要

我们研究了两个标量威尔逊缺陷的融合。通过证明裸单点函数是相同的，我们提出融合在量子水平上是成立的。这是意料之中的结果，因为路径积分在两个缺陷融合时是不变的。不同之处在于缺陷上局部量的重正化。融合缺陷上的局部量考虑了两个缺陷相互接近时融合极限的紫外发散，此外还考虑了缺陷局部场重合极限的紫外发散以及体局部场近缺陷极限的紫外发散。在相应的 RG 流的定点上，两个共形缺陷融合成了一个与原来的标量威尔逊缺陷相同的共形缺陷。

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Fusion of conformal defects in interacting theories

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.

Parts of this paper was first presented in my thesis [1].

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来源期刊

Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-

CiteScore

10.00

自引率

46.30%

发文量

2107

审稿时长

12 weeks

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).