Violation of quark–hadron duality
The missing oscillation in the OPE
Grup de Fisica Teorica, Departamento de Fisica, Universitat Autonoma de Barcelona, Bellaterra, 08193, Barcelona, Spain
2 Institut de Fisica d’Altes Energies (IFAE) and The Barcelona Institute of Science and Technology, Campus UAB, Bellaterra, 08193, (Barcelona), Spain
Accepted: 26 July 2021
Published online: 10 August 2021
The origin of quark–hadron duality violations (DVs) can be related to the singularities of the Laplace transform of the spectral function. With the help of rather generic properties of the large- approximation and a generalized form for the radial trajectories found in Regge Theory, we may locate these singularities in the complex plane and obtain an expression for the DVs which turns out to agree with general expectations. Using the two-point vector correlator as a test laboratory, we show how the usual dispersion relation may give rise to perturbation theory, the power corrections from the condensate expansion and DVs.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021