# Mixed Scalar-Current bootstrap in three dimensions

@article{Reehorst2019MixedSB,
title={Mixed Scalar-Current bootstrap in three dimensions},
author={Marten Reehorst and Emilio Trevisani and A. Vichi},
journal={arXiv: High Energy Physics - Theory},
year={2019}
}
• Published 2019
• Physics
• arXiv: High Energy Physics - Theory
We study the mixed system of correlation functions involving a scalar field charged under a global $U(1)$ symmetry and the associated conserved spin-1 current $J_\mu$. Using numerical bootstrap techniques we obtain bounds on new observables not accessible in the usual scalar bootstrap. We then specialize to the $O(2)$ model and extract rigorous bounds on the three-point function coefficient of two currents and the unique relevant scalar singlet, as well as those of two currents and the stress… Expand
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