Abstract

In search for an effective model of quark confinement we study the vacuum of SU(2) quantum chromodynamic with lattice simulations using Wilson action. Assuming that center vortices are the relevant excitations causing confinement, we analyzed their physical size and their color structure. We present confirmations for a vanishing thickness of center vortices in the continuum limit and hints at their color structure. This is the first time that algorithms for the detection of thick center vortices based on non-trivial center regions has been used.

Highlights

  • The strong interaction relevant for quantum chromodynamic is governed by an SU(3) symmetricLagrangian

  • First we present indications for a vanishing thickness of vortices in the continuum limit, we discuss their color structure

  • We have presented strong evidence for a vanishing thickness of SU(2) center vortices in the continuum limit and indications for a longitudinal color structure of the vortex surface: along the vortex and when trespassing the vortex surface the fluctuations of the color vectors are stronger than in the surrounding vacuum

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Summary

Introduction

The strong interaction relevant for quantum chromodynamic is governed by an SU(3) symmetricLagrangian. One of the most important non-perturbative properties of QCD is confinement This raises the question about the corresponding non-perturbative degrees of freedom. The center vortex model [1,2] is based on the idea that the important ingredients are center degrees of freedom in the form of closed magnetic flux tubes, quantised to the two non-trivial center elements of SU(3). In this first study of the detection of finite center regions, we are investigating

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