Hyperasymptotics and quark-hadron duality violations in QCD

Diogo Boito, Irinel Caprini, Maarten Golterman, Kim Maltman, Santiago Peris

Research output: Contribution to journalArticleResearchpeer-review

17 Citations (Scopus)

Abstract

© 2018 authors. We investigate the origin of the quark-hadron duality-violating terms in the expansion of the QCD two-point vector correlation function at large energies in the complex q2 plane. Starting from the dispersive representation for the associated polarization, the analytic continuation of the operator product expansion from the Euclidean to the Minkowski region is performed by means of a generalized Borel-Laplace transform, borrowing techniques from hyperasymptotics. We establish a connection between singularities in the Borel plane and quark-hadron duality-violating contributions. Starting with the assumption that for QCD at Nc= the spectrum approaches a Regge trajectory at large energy, we obtain an expression for quark-hadron duality violations at large, but finite Nc.
Original languageEnglish
Article number055011
JournalPhysical Review D
Volume97
Issue number5
DOIs
Publication statusPublished - 1 Mar 2018

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