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D. Karateev, P. Kravchuk, M. Serone, and A. Vichi, “Fermion Conformal Bootstrap in 4d,” JHEP
Original
1902
Earlier work this paper cites.
S. Benvenuti and H. Khachatryan, “Easy-plane QED 3
Original
1902
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A. Stergiou, “Bootstrapping MN and Tetragonal CFTs in Three Dimensions,” SciPost Phys
Original
1904
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A. Manenti, “Thermal CFTs in momentum space,” arXiv:1905.01355 [hep-th]
Original
1905
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N. B. Agmon, S. M. Chester, and S. S. Pufu, “The M-theory Archipelago,” arXiv:1907.13222 [hep-th]
Original
1907
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S. M. Chester, “Weizmann Lectures on the Numerical Conformal Bootstrap,” arXiv:1907.05147 [hep-th]
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1907
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1907
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J. Rong and N. Su, “Bootstrapping the 𝒩 = 1 \mathcal{N}=1 Wess-Zumino models in three dimensions,” arXiv:1910.08578 [hep-th]
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1910
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S. R. Kousvos and A. Stergiou, “Bootstrapping Mixed Correlators in Three-Dimensional Cubic Theories II,” arXiv:1911.00522 [hep-th]
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1911
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R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP
Original
2008
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D. M. Hofman and J. Maldacena, “Conformal collider physics: Energy and charge correlations,” JHEP
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2008
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V. S. Rychkov and A. Vichi, “Universal Constraints on Conformal Operator Dimensions,” Phys. Rev
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2009
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A. Buchel, J. Escobedo, R. C. Myers, M. F. Paulos, A. Sinha, and M. Smolkin, “Holographic GB gravity in arbitrary dimensions,” JHEP
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2010
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R. Rattazzi, S. Rychkov, and A. Vichi, “Central Charge Bounds in 4D Conformal Field Theory,” Phys. Rev
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2011
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R. Rattazzi, S. Rychkov, and A. Vichi, “Bounds in 4D Conformal Field Theories with Global Symmetry,” J. Phys
Original
2011
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Then

S. M. Chester and S. S. Pufu, “Towards bootstrapping QED 3
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2019

Mixed Scalar-Current bootstrap in three dimensions

Reehorst, Marten, Trevisani, Emilio, Vichi, Alessandro

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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 tensor.
Using these results, and comparing with a quantum Monte Carlo simulation of the $O(2)$ model conductivity, we give estimates of the thermal one-point function of the relevant singlet and the stress tensor.