English

The static PQCD potential with modified boundary conditions

High Energy Physics - Phenomenology 2010-02-03 v2

Abstract

We calculate the potential between two static quarks in QCD using modified boundary conditions for the perturbative expansion. Through a change of the Feynman iepsilon prescription we effectively add a "sea" of gluons to the asymptotic states with energies below a given scale Lambda. We find that the standard result for the static potential gets corrections of order Lambda^2/Q^2 both at small and large momentum transfers Q^2. After resummation of the infrared sensitive corrections we find that the running coupling alpha_s(Q^2) freezes in the infrared and that the exchanged gluon gets an effective tachyonic mass. We verify that identical results are obtained in the Coulomb and Feynman gauges.

Keywords

Cite

@article{arxiv.hep-ph/0011209,
  title  = {The static PQCD potential with modified boundary conditions},
  author = {Paul Hoyer and Johan Rathsman},
  journal= {arXiv preprint arXiv:hep-ph/0011209},
  year   = {2010}
}

Comments

13 pages, 3 figures, updated version accepted for publication in JHEP, additions to introduction and discussion, references added, results unchanged

R2 v1 2026-07-22T13:30:22.907Z