In the 2D large-N O(N) quartic model, the large-momentum OPE of the scalar two-point function is divergent: coefficient functions and operator condensates carry n! factorial growths that cancel only off-diagonally, never within a fixed power.
Large-Nc QCD, Harmonic Sums and the Riemann Zeros
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It is shown that in Large-Nc QCD, two--point functions of local operators become Harmonic Sums. We comment on the properties which follow from this fact. This has led us to an aside observation concerning the zeros of the Riemann zeta--function seen from the point of view of Dispersion Relations in Quantum Theory.
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Renormalon-like factorial enhancements to power expansion/OPE in a super-renormalizable 2D $O(N)$ quartic model
In the 2D large-N O(N) quartic model, the large-momentum OPE of the scalar two-point function is divergent: coefficient functions and operator condensates carry n! factorial growths that cancel only off-diagonally, never within a fixed power.