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The static PQCD potential with modified boundary conditions

Hoyer, Paul and Rathsman, Johan LU (2001) In Journal of High Energy Physics 5(5).
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 prescription we effectively add a "sea" of gluons to the asymptotic states with energies below a given scale A. We find that the standard result for the static potential gets corrections of order A 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 α 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.

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author
and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Asymptotic freedom, Confinement, Non-perturbative effects, QCD
in
Journal of High Energy Physics
volume
5
issue
5
publisher
Springer
external identifiers
  • scopus:33744777221
ISSN
1029-8479
language
English
LU publication?
no
id
7045b307-c694-448f-8e20-73157d2210e3
date added to LUP
2019-05-14 13:47:48
date last changed
2022-01-31 19:50:26
@article{7045b307-c694-448f-8e20-73157d2210e3,
  abstract     = {{<p>We calculate the potential between two static quarks in QCD using modified boundary conditions for the perturbative expansion. Through a change of the Feynman prescription we effectively add a "sea" of gluons to the asymptotic states with energies below a given scale A. We find that the standard result for the static potential gets corrections of order A <sup>2</sup>/Q <sup>2</sup> both at small and large momentum transfers Q <sup>2</sup>. After resummation of the infrared sensitive corrections we find that the running coupling α <sub>s</sub>(Q <sup>2</sup>) 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.</p>}},
  author       = {{Hoyer, Paul and Rathsman, Johan}},
  issn         = {{1029-8479}},
  keywords     = {{Asymptotic freedom; Confinement; Non-perturbative effects; QCD}},
  language     = {{eng}},
  month        = {{12}},
  number       = {{5}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{The static PQCD potential with modified boundary conditions}},
  volume       = {{5}},
  year         = {{2001}},
}