A GinzburgLandau Analysis of the Colour Electric Flux Tube.pdfVIP

1 HLRZ1998-53 A Ginzburg-Landau Analysis of the Colour Electric Flux Tube∗ a c b,c G.S. Bali , Ch. Schlichter , and K. Schilling aInstitut f¨ur Physik, Humboldt Universit¨at, Invalidenstr. 110, D-10115 Berlin, Germany bHLRZ, c/o Forschungszentrum J¨ulich, D-52425 J¨ulich, and DESY, Hamburg, Germany cPhysics Department, University of Wuppertal, D-42097 Wuppertal, Germany 8 9 9 In a simulation of SU(2) gauge theory we investigate, after maximal Abelian projection, the dual Maxwell 1 ¯ equations for colour field and monopole current distributions around a static quark-antiquark pair QQ in vacuo. p Within the dual superconductor picture we carry out a Ginzburg-Landau type analysis of the flux tube profile. e As a result we can determine the coherence length of the GL wave function related to the monopole condensate, S ξ = .25(3) fm, to be compared to the penetration length, λ = .15(2) fm (scaled with the string tension). 9 2 1. INTRODUCTION ξ , of the condensate; it is the counterpart to the v 9 The QCD vacuum can be viewed as a dual su- Abelian Higgs mass in the effective GL approach. 3 perconductor characterized by a monopole con- 2. EVIDENCE FOR DUAL THEORY 0 ¯ 9 densate [1]. When embedding a static Q