The heavy quark potential
from
Wilson's exact renormalization group
Ulrich Ellwanger1 - Manfred Hirsch2,3 - Axel Weber2,3
1 Laboratoire de Physique Théorique et Hautes
Energies
Université de Paris XI, bâtiment 211, F-91405 Orsay Cedex, France
(e-mail:
ellwange@qcd.th.u-psud.fr)
2 Institut für Theoretische Physik,
Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg,
Germany
3 Laboratoire de Physique Théorique et Hautes
Energies
Université de Paris XI, bâtiment 211, F-91405 Orsay Cedex,
France
Received: 28 February 1997 / Revised version: 12 May 1997
Abstract
We perform a calculation of the full momentum dependence of the gluon and
ghost propagators in pure SU(3) Yang-Mills theory by integrating Wilson's
exact renormalization group equations with respect to an infrared cutoff
k. The heavy quark potential in the quenched approximation can be
expressed in terms of these propagators. Our results strongly indicate a
1/p4-behaviour of the heavy quark potential for . We show
in general, that effective actions which satisfy Schwinger-Dyson equations,
correspond to (quasi-) fixed points of Wilson's exact renormalization
group equations.
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