Nonperturbative Effects in Quarkonia Associated with Large Orders in Perturbation Theory

Details Nonperturbative Effects in Quarkonia Associated with Large Orders in Perturbation Theory Nonperturbative Effects in Quarkonia Associated with Large Orders in Perturbation Theory

1997-07-31

arxiv.org/abs/hep-ph/9707525v1

Phys.Lett. B413 (1997) 405-409

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 2 figures

Scientific paper

10.1016/S0370-2693(97)01093-9

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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