Screening of the confinement potential in theSU(2) lattice gauge theory with scalar matter

Using theSU (2) Higgs system with dynamical scalar matter fields as a model for analyzing screening properties of the confining potential in gauge theories, we examine the Wilson loopW (T, R) and the gauge invariant 2-point functionG(T, R) by Monte Carlo simulations on a 16⁴ lattice. For small values of the hopping parameterk these quantities show non-asymptotic area law behavior which changes to asymptotic perimeter law behavior ask increases. Close to the Higgs phase transition we find an indication that both these asymptotic and nonasymptotic terms are present simultaneously within the lattice at different distancesR andT and that the breaking of the confining flux tube by matter pair production occurs within the lattice. Introducing an appropriate ansatz forW(T, R) andG(T, R), respectively, we determine in this complex situation the string tension, the screening energy of the external sources, and the order parameter introduced by Fredenhagen and Marcu.     

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