Breakdown of the operator product expansion in the 't Hooft model

Abstract

We consider deep inelastic scattering in the 't Hooft model. Being solvable, this model allows us to directly compute the moments associated with the cross section at next-to-leading order in the 1/Q^2 expansion. We perform the same computation using the operator product expansion. We find that all the terms match in both computations except for one in the hadronic side, which is proportional to a non-local operator. The basics of the result suggest that a similar phenomenon may occur in four dimensions in the large N_c limit.

4 pages

References in corpus (2)

• Heavy meson semileptonic differential decay rate in two dimensions in the large Nc
• 1/N_c and 1/n preasymptotic corrections to Current-Current correlators

Cited by in corpus (2)

• Quark-hadron duality for heavy meson mixings in the 't Hooft model
• Revisiting quark-hadron duality for heavy meson non-leptonic decays in two-dimensional QCD