Resurgence of the large-charge expansion

Abstract

We study the O(2N) model at criticality in three dimensions in the double scaling limit of large N and large charge. We show that the large-charge expansion is an asymptotic series, and we use resurgence techniques to study the non-perturbative corrections and to extend the validity of the effective field theory to any value of the charge. We conjecture the general form of the non-perturbative behavior of the conformal dimensions for any value of N and find very good agreement with previous lattice data.

references added, minor fixes

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Cited by in corpus (17)

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• Nonrelativistic CFTs at Large Charge: Casimir Energy and Logarithmic Enhancements
• Following the flow for large N and large charge
• Numerical tests of the large charge expansion
• Operator spectrum of nonrelativistic CFTs at large charge
• Sub-leading conformal dimensions at the O(4) Wilson-Fisher fixed point
• Resurgence in Lorentzian quantum cosmology: No-boundary saddles and resummation of quantum gravity corrections around tunneling saddle points
• Quantum phase transition and Resurgence: Lessons from 3d $\mathcal{N}=4$ SQED
• The analytic structure of the fixed charge expansion
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• The Breakdown of Resummed Perturbation Theory at High Energies
• Large R-charge EFT correlators in N=2 SQCD
• Resurgence in the Scalar Quantum Electrodynamics Euler-Heisenberg Lagrangian
• Asymptotics in the bi-Yang-Baxter Sigma Model
• Convexity, large charge and the large-N phase diagram of the ${\phi }^4$ theory