Long range, large charge, large N

A bstract We study operators with large charge j in the d -dimensional O ( N ) model long range interactions that decrease distance as 1/ r + s , where is a continuous parameter. consider double scaling limit of $$ j/N=\hat{j} j / N = ̂ fixed, and identify semiclassical saddle point captures two-point function this limit. The solution given terms certain ladder conformal integrals have recently appeared literature on fishnet models. find dimensions for general interpolate between {\Delta }_j\sim \frac{\left(d-s\right)}{2}j ∆ ∼ d − s 2 at small \hat{j} \frac{\left(d+s\right)}{2}j + which qualitatively different behavior from one found short version model. also derive results structure constants 4-point functions two or finite operators. Using description models defects higher dimensional local free field theory, we obtain complementary way, by mapping problem to cylinder presence chemical potential conserved charge.