Computes O(1/N) corrections to central charges C_J and C_T in conformal QED_d-GNY and scalar QED_d models, obtains scaling dimensions of adjoint bilinears, and finds reasonable agreement with SO(5) DQCP estimates from bootstrap and fuzzy sphere.
Towards Bootstrapping QED$_3$
2 Pith papers cite this work. Polarity classification is still indexing.
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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 $N=6$.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.
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Central charges $C_J$ and $C_T$ in QED$_d$-GNY model and scalar QED$_d$
Computes O(1/N) corrections to central charges C_J and C_T in conformal QED_d-GNY and scalar QED_d models, obtains scaling dimensions of adjoint bilinears, and finds reasonable agreement with SO(5) DQCP estimates from bootstrap and fuzzy sphere.
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Lectures on Semiclassical Methods for Composite Operators
Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.