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arXiv · 2206.06326

Interacting conformal scalar in a wedge

Agnese Bissi·Parijat Dey·Jacopo Sisti·Alexander Söderberg
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Abstract

We study a class of two-point functions in a conformal field theory near a wedge. This is a set-up with two boundaries intersecting at an angle $\theta$. We compute it as a solution to the Dyson-Schwinger equation of motion for a quartic interaction in the $d=4-\epsilon$ bulk and in the $d=3-\epsilon$ boundary, up to order $\mathcal{O}(\epsilon)$. We have extracted the anomalous dimensions from such correlators and we have complemented them with Feynman diagrams computations.

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Agnese Bissi, Parijat Dey, Jacopo Sisti, Alexander Söderberg. 2022-06-13. Interacting conformal scalar in a wedge. https://doi.org/10.1007/jhep10(2022)060

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