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Anomalous dimensions of monopole operators in three-dimensional quantum electrodynamics

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arxiv 1303.6125 v2 pith:RTYXVE4P submitted 2013-03-25 hep-th cond-mat.str-el

Silviu S. Pufu This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords monopoleoperatorsanomalousdimensionselectrodynamicsorderpointquantum
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abstract

The space of local operators in three-dimensional quantum electrodynamics contains monopole operators that create $n$ units of gauge flux emanating from the insertion point. This paper uses the state-operator correspondence to calculate the anomalous dimensions of these monopole operators perturbatively to next-to-leading order in the $1/N_f$ expansion, thus improving on the existing leading order results in the literature. Here, $N_f$ is the number of two-component complex fermion flavors. The scaling dimension of the $n=1$ monopole operator is $0.265 N_f - 0.0383 + O(1/N_f)$ at the infrared conformal fixed point.

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