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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 1 Issue 3/4 (1998) pp 563-578
theoretical physics:
The heavy quark potential from Wilson's exact renormalization group
Ulrich Ellwanger (1), Manfred Hirsch (2)(3) (*), Axel Weber (2)(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 $1/p^4$-behaviour of the heavy quark potential for $p^2 \to 0$. We show in general, that effective actions which satisfy Schwinger-Dyson equations, correspond to (quasi-) fixed points of Wilson's exact renormalization group equations.
(*) Supported by a DAAD-fellowship HSP II financed by the German Federal Ministry for Research and Technology; e-mail: m.hirsch@thphys.uni-heidelberg.de
(**) Supported by a LGFG-fellowship of the Land Baden-Württemberg and a DAAD-fellowship; current address: Instituto de Ciencias Nucleares Universidad Nacional Autónoma de México, Circuito Exterior C.U., A.P. 70-543, 04510 México, D.F., Mexico; e-mail: axel@nuclecu.unam.mx
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Online publication: February 5, 1998
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