LongRange Interactions of Small Color Dipoles
Abstract
We study the scattering of small color dipoles (e.g., heavy quarkonium states) at low energies. We find that even though the couplings of color dipoles to the gluon field can be described in perturbation theory, at large distances the interaction becomes totally nonperturbative. The structure of the scattering amplitude, however, is fixed by the (broken) chiral and scale symmetries of QCD; the leading longdistance contribution arises from the correlated twopion exchange. We use the spectral representation technique to evaluate both perturbative and nonperturbative contributions to the scattering amplitude. Our main result is the sum rule which relates the overall strength of the nonperturbative interaction between color dipoles to the energy density of QCD vacuum.
 Publication:

arXiv eprints
 Pub Date:
 July 1998
 DOI:
 10.48550/arXiv.hepph/9807383
 arXiv:
 arXiv:hepph/9807383
 Bibcode:
 1998hep.ph....7383F
 Keywords:

 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 Talk at the 3rd "Continuous Advances in QCD" Workshop dedicated to the memory of V.N. Gribov