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|Abstract:||Three-dimensional quantum electrodynamics with N charged fermions contains monopole operators that have been studied perturbatively at large N . Here, we initiate the study of these monopole operators in the 4 - epsilon expansion by generalizing them to codimension-3 defect operators in d = 4 - epsilon spacetime dimensions. Assuming the infrared dynamics is described by an interacting CFT, we define the conformal weight of these operators in terms of the free energy density on S-2 x H2-epsilon in the presence of magnetic flux through the S2, and calculate this quantity to next-to-leading order in epsilon. Extrapolating the conformal weight to epsilon = 1 gives an estimate of the scaling dimension of the monopole operators in d = 3 that does not rely on the 1/N expansion. We also perform the computation of the conformal weight in the large N expansion for any d and find agreement between the large N and the small epsilon expansions in their overlapping regime of validity.|
|Electronic Publication Date:||5-Dec-2016|
|Citation:||Chester, Shai M, Mezei, Mark, Pufu, Silviu S, Yaakov, Itamar. (2016). Monopole operators from the 4-epsilon expansion. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP12(2016)015|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||JOURNAL OF HIGH ENERGY PHYSICS|
|Version:||Final published version. This is an open access article.|
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