W-gauge boson condensation via background currents

We study the electroweak standard model at finite temperature in presence of a bosonic chemical potential associated with the conserved electromagnetic current. To preserve the thermodynamic equilibrium of the system, the thermal medium is neutralized by the introduction of four background currents related to the four gauge bosons of this model. Using the mean-field approximation, in the high temperature limit, we find that there exists a difference between the effective mass of the spatial and temporal components of the W-gauge boson. A W-gauge boson condensation inducted via the background currents allows to vanish this difference. [email protected], associate researcher of Universidad Antonio Nariño, Bogotá, Colombia. [email protected], associate researcher of CIF, Bogotá, Colombia.