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The large charge expansion at large N

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arxiv 1805.00501 v1 pith:R32MKEBK submitted 2018-05-01 hep-th cond-mat.str-el

classification hep-thcond-mat.str-el
keywords largebehaviorchargedimensionsexpansionoperatorspredictedscaling
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The scaling dimensions of charged operators in conformal field theory have recently been predicted to exhibit universal behavior in the large charge limit. We verify this behavior in the 2+1 dimensional CPN model. Specifically, we numerically compute the scaling dimensions of the lowest dimension monopole operators with charges Q = 1, 2, ... , 100 to subleading order in large N. The coefficients of the large Q expansion are extracted through a fit, and the predicted universal O(1) contribution is verified to the subpercent level.

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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. Bootstrapping the Simplest Deconfined Quantum Critical Point

    hep-th 2025-07 conditional novelty 6.0 of 10

    Conformal bootstrap bounds for U(1)-charged scalars in 3d are saturated by the CP^2 model's large-N and lattice predictions, suggesting the CP^2 deconfined quantum critical point is a conformal field theory.

  2. Large charge at large N

    hep-th 2019-09 conditional novelty 6.0 of 10

    A saddle-point evaluation of the O(2N) Wilson-Fisher partition function yields the large-charge conformal dimension and finite-temperature free energy in the regime 1 << N << Q, including the universal Q^0 Casimir term.

  3. Accessing Large Global Charge via the $\epsilon$-Expansion

    hep-th 2019-09 conditional novelty 6.0 of 10

    The lowest operator dimension at large global charge in the O(2) Wilson-Fisher model is derived to leading order in 1/J and epsilon, giving 0.293 J^(3/2) at D = 3 and a crossover controlled by lambda = J epsilon.

  4. The large charge limit of scalar field theories and the Wilson-Fisher fixed point at $\epsilon=0$

    hep-th 2019-08 accept novelty 6.0 of 10

    In the double scaling limit g to 0, n to infinity at fixed lambda = g n^2, the dimension of the charge n operator phi^n in the O(2) Wilson-Fisher theory is exactly n + lambda/(32 pi^2).

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