Large-Nc QCD, Harmonic Sums and the Riemann Zeros

Abstract

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.

Invited talk at the Montpellier QCD 2010 Conference

References in corpus (11)

• Matching Long and Short Distances in Large-Nc QCD
• Duality violations and spectral sum rules
• Patterns of Spontaneous Chiral Symmetry Breaking in the Large-Nc Limit of QCD-Like Theories
• Snapshots of Hadrons, or the Story of How the Vacuum Medium Determines the Properties of the Classical Mesons Which Are Produced, Live and Die in the QCD Vacuum
• Unraveling duality violations in hadronic tau decays
• Testing an approximation to large-Nc QCD with a toy model
• Asymptotics of Feynman Diagrams and The Mellin-Barnes Representation
• Muon Anomaly from Lepton Vacuum Polarization and The Mellin--Barnes Representation
• Violation of Quark-Hadron Duality and Spectral Chiral Moments in QCD
• Resummation of Threshold, Low- and High-Energy Expansions for Heavy-Quark Correlators
• Analytic Approaches to Kaon Physics

Cited by in corpus (6)

• Hyperasymptotics and quark-hadron duality violations in QCD
• The Riemann zeros as energy levels of a Dirac fermion in a potential built from the prime numbers in Rindler spacetime
• QCD parameters and SM-high precision from $e^{+}{e}^{-}$ to Hadrons: Updated
• Bjorken and threshold asymptotics of a space-like structure function in the 2D $U(N)$ Gross-Neveu model
• Violation of Quark-Hadron Duality (The missing oscillation in the OPE)
• Renormalon-like factorial enhancements to power expansion/OPE in a super-renormalizable 2D $O(N)$ quartic model