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arXiv · 2212.02520

Probing magnetic line defects with two-point functions

Aleix Gimenez-Grau
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Abstract

This paper studies magnetic line defects in the Wilson-Fisher $O(N)$ model. A powerful method to probe the system is to consider mixed two-point functions of the order parameter and the energy operator in the presence of the defect. A recently developed dispersion relation allows us to bootstrap these mixed correlators to leading order in the $ε$-expansion. We also carry out explicit diagrammatic calculations, finding perfect agreement with the bootstrap, and we conclude extracting the new CFT data predicted by the two-point functions.

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Aleix Gimenez-Grau. 2022-12-05. Probing magnetic line defects with two-point functions. https://arxiv.org/abs/2212.02520

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