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2017

Anomalous Dimensions in the WF O($N$) Model with a Monodromy Line Defect

Söderberg, Alexander

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Implications of inserting a conformal, monodromy line defect in three dimensional O($N$) models are studied.

We consider then the WF O($N$) model, and study the two-point Green's function for bulk-local fields found from both the bulk-defect expansion and Feynman diagrams.
This yields the anomalous dimensions for bulk- and defect-local primaries as well as one of the OPE coefficients as $\epsilon$-expansions to the first loop order.
As a check on our results, we study the $(\phi^k)^2{\phi}^j$ operator both using the bulk-defect expansion as well as the equations of motion.

Anomalous Dimensions in the WF O($N$) Model with a Monodromy Line Defect · Around

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Princeton University Press; 2nd Revised ed. edition (October 13, 1997), 1946
H. Weyl, · 1946
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