Nonperturbative Effects in Quarkonia Associated with Large Orders in Perturbation Theory
High Energy Physics - Phenomenology
2009-10-30 v1
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.
Keywords
Cite
@article{arxiv.hep-ph/9707525,
title = {Nonperturbative Effects in Quarkonia Associated with Large Orders in Perturbation Theory},
author = {Martin C. Smith and T. Stelzer and S. Willenbrock},
journal= {arXiv preprint arXiv:hep-ph/9707525},
year = {2009}
}
Comments
6 pages, 2 figures