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The heavy quark potential from Wilson's exact renormalization group

  • Ulrich Ellwanger
  • Manfred Hirsch
  • Axel Weber
Theoretical physics

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.

Keywords

Renormalization Group Heavy Quark Effective Action Group Equation Renormalization Group Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Ulrich Ellwanger
    • 1
  • Manfred Hirsch
    • 2
  • Axel Weber
    • 2
  1. 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) FR
  2. 2. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg, Germany DE

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