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.

arXiv commentreferences added, minor fixes

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• Following the flow for large N and large charge
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• Convexity, large charge and the large-N phase diagram of the ${\phi }^4$ theory