On the Infrared Behavior of Landau Gauge Yang-Mills Theory with a Fundamentally Charged Scalar Field

Understand

Recently it has been shown that infrared singularities of Landau gauge QCD can confine static quarks via a linearly rising potential.

• We show that the same mechanism can also provide a confining interaction between charged scalar fields in the fundamental representation.
• This confirms that within this scenario static confinement is a universal property of the gauge sector even though it is formally represented in the functional equations of the matter sector.
• The simplifications compared to the fermionic case make the scalar system an ideal laboratory for a detailed analysis of the confinement mechanism in numerical studies of the functional equations as well as in gauge-fixed lattice simulations.