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Large charge at large N

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arxiv 1909.02571 v2 pith:S6667ZRC submitted 2019-09-05 hep-th

classification hep-th
keywords chargedimensionslargeapplyapproachcomputeconcentratingconformal
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We apply the large-charge expansion to O(N) vector models starting from first principles, focusing on the Wilson-Fisher point in three dimensions. We compute conformal dimensions at zero and finite temperature at fixed charge Q, concentrating on the regime $1 \ll N \ll Q$. Our approach places the earlier effective field theory treatment on firm ground and extends its predictions.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towers of Operators in CFTs and Convexity Bounds at Large Charge

    hep-th 2026-07 conditional novelty 7.0 of 10

    In 3d CFTs with moduli spaces, the projected large-charge tower obeys the convexity bound α0≤0, while the leading slope α1 has no universal bound besides α1≥0.

  2. Trapping-potential dependence of the unitary Fermi gas at the BCS-BEC crossover

    cond-mat.quant-gas 2025-10 conditional novelty 6.0 of 10

    Trap-induced corrections to the unitary Fermi gas phonon spectrum and dynamic structure factor are computed in three EFT/WKB regimes, with low-energy corrections depending on trap shape and high-energy corrections set...

  3. Conformal Data for the O(3) Wilson-Fisher Conformal Field Theory from Fuzzy Sphere Realization of the Quantum Rotor Model

    cond-mat.str-el 2025-10 conditional novelty 6.0 of 10

    A fuzzy-sphere realization of the quantum rotor model yields scaling dimensions and OPE coefficients for the (2+1)D O(3) Wilson-Fisher CFT, benchmarked against bootstrap and large-S predictions.

  4. Resurgence Analysis of the Nambu-Jona-Lasinio model at large charge

    hep-th 2025-05 conditional novelty 6.0 of 10

    For the 3d NJL model at large charge, the scaling dimension has a convergent small-q series and an asymptotic large-q series whose nonperturbative corrections are worldline-instanton terms e^{-α√q}.

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