Properties of phase transitions of the lattice SU(2) Higgs model

We discuss the phase structure of the lattice-gauge–Higgs model for the gauge group SU(2) and Higgs fields in the fundamental representation with a dynamical radial mode. We find that the confinement-Higgs phase transition is of first order for small ${\phi }^4$ coupling λ but weakens with increasing λ. Correlations of bound-state operators on the phase-transition point at λ=0.5, β=2.25 on a $8^3$×16 lattice show a scalar state with the mass of 0.2 inverse lattice spacings and a four-times-heavier vector isotriplet.