Phase structure and the gluon propagator of SU(2) gauge-Higgs model in two dimensions

Understand

We study numerically the phase structure and the gluon propagator of the SU(2) gauge-Higgs model in two dimensions.

• First, we calculate gauge-invariant quantities, in particular the static potential from Wilson Loop, the W propagator, and the plaquette expectation value.
• Our results suggest that a confinement-like region and a Higgs-like region appear even in two dimensions.
• In the confinement-like region, the static potential rises linearly, with string breaking at large distances, while in the Higgs-like region, it is of Yukawa type, consistent with a Higgs-type mechanism.