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arXiv · 1601.03476

Towards Bootstrapping QED$_3$

Shai M. Chester·Silviu S. Pufu
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Abstract

We initiate the conformal bootstrap study of Quantum Electrodynamics in $2+1$ space-time dimensions (QED$_{3}$) with $N$ flavors of charged fermions by focusing on the 4-point function of four monopole operators with the lowest unit of topological charge. We obtain upper bounds on the scaling dimension of the doubly-charged monopole operator, with and without assuming other gaps in the operator spectrum. Intriguingly, we find a (gap-dependent) kink in these bounds that comes reasonably close to the large $N$ extrapolation of the scaling dimensions of the singly-charged and doubly-charged monopole operators down to $N=4$ and $N=6$.

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Shai M. Chester, Silviu S. Pufu. 2016-01-14. Towards Bootstrapping QED$_3$. https://doi.org/10.1007/jhep08(2016)019

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