Quasi-Particle Excitations of the Higgs Vacuum at Finite Energy Density

Real time excitations in the broken symmetry phase of the classical Abelian Higgs model are investigated numerically in the unitary gauge. Spectral equations of state of its constituent quasi-particles are extracted. Characteristic differences between the statistical correlations of the transverse and of the longitudinal vector modes with the Higgs field are exposed. A method is proposed for the reconstruction of the quasi-free composite field coordinates.