Infrared physics of the 3D SU(2) adjoint Higgs model at the crossover transition

We study the crossover phase transition of SU(2) Georgi-Glashow model in three dimensions. In this model, a confining condensate topological 't Hooft-Polyakov monopoles exists Higgs regime. use lattice Monte Carlo simulations to monopole gas across transition, and demonstrate that gradient flow can be used renormalize otherwise divergent number density. The condensation means theory admits also massive photon-like excitation. show renormalized density is approximately proportional square photon mass, agreement with semiclassical results. Our results give insight into behaviour regime near crossover, which has boarder implications for beyond Standard Model theories containing adjoint scalar fields.