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Gribov horizon and the one-loop color-Coulomb potential

Maarten Golterman

Jeff Greensite

Santiago Peris

Adam P. Szczepaniak

  • Physics and Astronomy Department, San Francisco State University, San Francisco, California 94132, USA

  • Niels Bohr International Academy, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark*

  • Physics and Astronomy Department, San Francisco State University, San Francisco, California 94132, USA†

  • Physics Department and Center for Exploration of Energy and Matter, Indiana University, Bloomington, Indiana 47403 USA

  • *Permanent address: Physics and Astronomy Department, San Francisco State University, San Francisco, CA 94132, USA.
  • †Permanent address: Departament de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Barcelona, Spain.
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Phys. Rev. D 85, 085016 – Published 11 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.085016

Abstract

We recalculate the color-Coulomb potential to one-loop order, under the assumption that the effect of the Gribov horizon is to make (i) the transverse gluon propagator less singular and (ii) the color-Coulomb potential more singular than their perturbative behavior in the low-momentum limit. As a first guess, the effect of the Gribov horizon is mimicked by introducing a transverse momentum-dependent gluon mass term, leading to a propagator of the Gribov form, with the prescription that the mass parameter should be adjusted to the unique value where the infrared behavior of the Coulomb potential is enhanced. We find that this procedure leads to a Coulomb potential rising asymptotically as a linear term modified by a logarithm.

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Phys. Rev. D 85, 085016– Published 11 April, 2012
  • Received 7 February 2012
Article part of CHORUS

© 2012 American Physical Society

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