ar X iv : h ep - l at / 9 60 80 37 v 1 8 A ug 1 99 6 1

نویسندگان

  • Markus Feurstein
  • Harald Markum
  • Stefan Thurner
چکیده

Recently evidence appeared that instantons and monopoles have a certain local correlation in four-dimensional pure SU (2) and SU (3) gauge theory. We visualize several specific gauge field configurations and show directly that there is an enhanced probability for finding maximally projected abelian monopole loops in the vicinity of instantons. This feature is independent of the topological charge definition used. 1. Introduction and Theory. Two different kinds of topological objects seem to be important for the confinement mechanism: color magnetic monopoles and instantons. Color magnetic monopoles play the essential role in the dual superconductor hypothesis. Instantons are supposed to cause confinement in QCD if they form a so-called instanton liquid. In a series of papers we have presented evidence that there exist local correlations between these topological objects on the basis of gauge field averages [1]. In this contribution we present a graphical approach to this subject by visualization of specific SU (2) gluon configurations. In order to investigate monopole currents one has to project SU (2) onto its abelian degrees of freedom, such that an abelian U (1) theory remains [2]. This can be achieved by various gauge fixing procedures. We employ the so-called maximum abelian gauge which is most favorable for our purposes. For the definition of the monopole currents m(x, µ) we use the standard method [3]. The magnetic currents form closed loops on the dual lattice as a consequence of monopole current conservation. From the monopole currents we define the local monopole density as ρ(x) =

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تاریخ انتشار 1996