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Breakdown of the operator-product expansion in the 't Hooft model
Jorge Mondejar1, Antonio Pineda
1Departament d'Estructura i Constituents de la Matèria, Universitat Barcelona, E-08028 Barcelona, Spain.
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 nonlocal operator. The basics of the result suggest that a similar phenomenon may occur in four dimensions in the large N(c) limit.
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