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Large-Nc QCD, Harmonic Sums and the Riemann Zeros

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arxiv 1010.4657 v1 pith:ZQUQ3WWB submitted 2010-10-22 hep-th hep-phmath-phmath.MP

classification hep-thhep-phmath-phmath.MP
keywords harmoniclarge-ncriemannsumszerosasidebecomecomment
verification ladder T0 review T1 audit T2 compute T3 formal
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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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    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, ne...

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