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Nonperturbative Effects in Quarkonia Associated with Large Orders in Perturbation Theory

Martin C. Smith·T. Stelzer·S. Willenbrock
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Abstract

We show that the perturbation series for quarkonia energies diverges at large orders. This results in a perturbative ambiguity in the energy that scales as e^(-1/a*Lambda) where a is the Bohr radius of quarkonium and Lambda is the QCD scale parameter. This ambiguity is associated with a nonperturbative contribution to the energy from distances of order 1/Lambda and greater. This contribution is separate from that of the gluon condensate.

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Martin C. Smith, T. Stelzer, S. Willenbrock. 1997-07-31. Nonperturbative Effects in Quarkonia Associated with Large Orders in Perturbation Theory. https://doi.org/10.1016/s0370-2693(97)01093-9

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