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

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

2008-06-30

arxiv.org/abs/0807.0011v2

Phys.Rev.Lett.101:152002,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages

Scientific paper

10.1103/PhysRevLett.101.152002

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.

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