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Diffusion of Wilson loops

A. M. Brzoska1, F. Lenz1, J. W. Negele2, and M. Thies1

  • 1Institut für Theoretische Physik III, Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany
  • 2Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

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Phys. Rev. D 71, 034008 – Published 7 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.034008

Abstract

A phenomenological analysis of the distribution of Wilson loops in SU(2) Yang-Mills theory is presented in which Wilson loop distributions are described as the result of a diffusion process on the group manifold. It is shown that, in the absence of forces, diffusion implies Casimir scaling and, conversely, exact Casimir scaling implies free diffusion. Screening processes occur if diffusion takes place in a potential. The crucial distinction between screening of fundamental and adjoint loops is formulated as a symmetry property related to the center symmetry of the underlying gauge theory. The results are expressed in terms of an effective Wilson loop action and compared with various limits of SU(2) Yang-Mills theory.

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Phys. Rev. D 71, 034008– Published 7 February, 2005
  • Received 9 December 2004

© 2005 American Physical Society

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