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Analytic bootstrap for magnetic impurities
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DOI：10.1007/JHEP05(2024)080.png)
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摘要
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We study the O(3) critical model and the free theory of a scalar triplet in the presence of a magnetic impurity. We use analytic bootstrap techniques to extract results in the epsilon-expansion. First, we extend by one order in perturbation theory the computation of the beta function for the defect coupling in the free theory. Then, we analyze in detail the low-lying spectrum of defect operators, focusing on their perturbative realization when the defect is constructed as a path-ordered exponential. After this, we consider two different bulk two-point functions and we compute them using the defect dispersion relation. For a free bulk theory, we are able to fix the form of the correlator at all orders in epsilon. In particular, taking epsilon -> 1, we can show that in d = 3 one does not have a consistent and non-trivial defect CFT. For an interacting bulk, we compute the correlator up to second order in epsilon. Expanding these results in the bulk and defect block expansions, we are able to extract an infinite set of defect CFT data. We discuss low-spin ambiguities that affect every result computed through the dispersion relation and we use a combination of consistency conditions and explicit diagrammatic calculations to fix this ambiguity.
Keyword:
Scale and Conformal Symmetries
Field Theories in Lower Dimensions
Renormalization Group
期刊
IF:
5.5
论文数:
3.9W
被引数:
13.7W
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引用论文
Magnetic impurities at quantum critical points: Large-N expansion and connections to symmetry-protected topological states.png)
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