Large charge at large N

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.

matches JHEP version

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Cited by in corpus (37)

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• Charging the $O(N)$ model
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• $\mathcal{N}=2$ conformal gauge theories at large R-charge: the $SU(N)$ case
• Resurgence of the large-charge expansion
• Near-Conformal Dynamics at Large Charge
• Giant Vortices and the Regge Limit
• Charging the Conformal Window
• More on the Weak Gravity Conjecture via Convexity of Charged Operators
• The OPE meets semiclassics
• Anomalous dimensions at large charge in d=4 O(N) theory
• Thermal one-point functions and single-valued polylogarithms
• Large Charge Sector of 3d Parity-Violating CFTs
• Transition of Large $R$-Charge Operators on a Conformal Manifold
• More on the cubic versus quartic interaction equivalence in the $O(N)$ model
• Nonrelativistic CFTs at Large Charge: Casimir Energy and Logarithmic Enhancements
• Numerical tests of the large charge expansion
• Following the flow for large N and large charge
• Anomalous dimensions at large charge for $U(N)\times U(N)$ theory in three and four dimensions
• Operator spectrum of nonrelativistic CFTs at large charge
• Sub-leading conformal dimensions at the O(4) Wilson-Fisher fixed point
• Long Range, Large Charge, Large $N$
• The connection between nonzero density and spontaneous symmetry breaking for interacting scalars
• Six-loop anomalous dimension of the ${\varphi }^Q$ operator in the $O(N)$ symmetric model
• The analytic structure of the fixed charge expansion
• Large R-charge EFT correlators in N=2 SQCD
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• Identifying Large Charge Operators
• Conformal Data for the O(3) Wilson-Fisher Conformal Field Theory from Fuzzy Sphere Realization of the Quantum Rotor Model
• Charging the conformal window at nonzero $\theta$ angle
• On Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture
• Asymptotics in the bi-Yang-Baxter Sigma Model
• Boundary Conformal Field Theory at Large Charge
• Convexity, large charge and the large-N phase diagram of the ${\phi }^4$ theory
• Scaling dimensions at large charge for cubic ${\varphi }^3$ theory in six dimensions