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High precision study of the QQ¯ potential from Wilson loops at large distances

Bram Bolder1, Thorsten Struckmann2, Gunnar S. Bali3, Norbert Eicker1, Thomas Lippert1, Boris Orth1, Klaus Schilling1,2, and Peer Ueberholz1

  • 1Fachbereich Physik, Bergische Universität, Gesamthochschule Wuppertal, Gaußstraße 20, 42097 Wuppertal, Germany
  • 2NIC, Forschungszentrum Jülich, 52425 Jülich and DESY, 22603 Hamburg, Germany
  • 3Department of Physics and Astronomy, The University of Glasgow, Glasgow G12 8QQ, Scotland

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Phys. Rev. D 63, 074504 – Published 12 March, 2001

DOI: https://doi.org/10.1103/PhysRevD.63.074504

Abstract

For lattice QCD with two sea quark flavors we study the static quark-antiquark potential V(R) in the regime where string breaking is expected. In order to increase the statistics, we make full use of the lattice information by including all lattice vectors R to any given separation R=|R| in the infrared regime. The corresponding paths between the lattice points are constructed by means of a generalized Bresenham algorithm as known from computer graphics. As a result, we achieve a determination of the Wilson loops in the range 0.8–1.5 fm with hitherto unknown precision. Finally, we discuss the impact of this approach on the signal of the transition matrix element between two- and four-quark states.

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Phys. Rev. D 63, 074504– Published 12 March, 2001
  • Received 24 May 2000

© 2001 American Physical Society

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