Non-equilibrium Higgs transition in classical scalar electrodynamics
arXiv:hep-lat/0508014 · doi:10.1088/1126-6708/2005/10/054
Abstract
Real time rearrangement of particle spectra is studied numerically in a U(1) Gauge+Higgs system, in the unitary gauge and in three spatial dimensions. The cold system starts from the symmetric phase. Evolution of the partial energy densities and pressures reveal well-defined equations of state for the longitudinal and transversal gauge fields very early. Longitudinal modes are excited more efficiently and thermalize the slowest. Hausdorff-dimension of the Higgs-defect manifold, eventually seeding vortex excitations is thoroughly discussed. Scaling dependence of the vortex density on the characteristic time of the symmetry breaking transition is established.
17 pages, 7 figures, Replaced with version accepted for publication in JHEP